TSTP Solution File: SEU281+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU281+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:31:07 EDT 2024
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f949,plain,
$false,
inference(avatar_sat_refutation,[],[f480,f519,f528,f550,f572,f574,f576,f578,f580,f582,f584,f586,f588,f651,f659,f699,f729,f763,f780,f784,f787,f790,f794,f797,f801,f804,f806,f820,f823,f825,f827,f829,f831,f833,f889,f900,f904,f908,f910,f912,f914,f916,f918,f920,f922,f924,f926,f929,f932,f934,f936,f938,f940,f943,f946,f948]) ).
fof(f948,plain,
( ~ spl25_3
| ~ spl25_4
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f947,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f518,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f250,f670,f340,f685,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f927,f930,f662,f661,f695]) ).
fof(f695,plain,
( ~ in(sK8(sK10(sK6,sK5)),sK5)
| spl25_9 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f693,plain,
( spl25_9
<=> in(sK8(sK10(sK6,sK5)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
fof(f661,plain,
( ~ in(sK5,sK8(sK10(sK6,sK5)))
| ~ spl25_3
| spl25_7 ),
inference(subsumption_resolution,[],[f655,f513]) ).
fof(f655,plain,
( ~ sP4(sK6,sK5)
| ~ in(sK5,sK8(sK10(sK6,sK5)))
| spl25_7 ),
inference(resolution,[],[f646,f131]) ).
fof(f662,plain,
( in(sK8(sK10(sK6,sK5)),sK5)
| ~ spl25_3
| spl25_7 ),
inference(subsumption_resolution,[],[f656,f513]) ).
fof(f656,plain,
( ~ sP4(sK6,sK5)
| in(sK8(sK10(sK6,sK5)),sK5)
| spl25_7 ),
inference(resolution,[],[f646,f132]) ).
fof(f930,plain,
( ~ in(sK5,sK8(sK10(sK6,sK5)))
| ~ spl25_3
| spl25_7 ),
inference(subsumption_resolution,[],[f839,f513]) ).
fof(f839,plain,
( ~ sP4(sK6,sK5)
| ~ in(sK5,sK8(sK10(sK6,sK5)))
| spl25_7 ),
inference(resolution,[],[f646,f131]) ).
fof(f927,plain,
( in(sK8(sK10(sK6,sK5)),sK5)
| ~ spl25_3
| spl25_7 ),
inference(subsumption_resolution,[],[f840,f513]) ).
fof(f840,plain,
( ~ sP4(sK6,sK5)
| in(sK8(sK10(sK6,sK5)),sK5)
| spl25_7 ),
inference(resolution,[],[f646,f132]) ).
fof(f841,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_3
| spl25_7 ),
inference(subsumption_resolution,[],[f837,f513]) ).
fof(f837,plain,
( ~ sP4(sK6,sK5)
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| spl25_7 ),
inference(resolution,[],[f646,f129]) ).
fof(f871,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),sK12(sK10(X0,sK10(X1,X2)))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),sK12(sK10(X0,sK10(X1,X2)))))))
| ~ sP3(sK10(X0,sK10(X1,X2))) ),
inference(resolution,[],[f324,f85]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ sP0(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3)))) ),
inference(resolution,[],[f179,f93]) ).
fof(f842,plain,
( in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ spl25_3
| spl25_7 ),
inference(subsumption_resolution,[],[f838,f513]) ).
fof(f838,plain,
( in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ sP4(sK6,sK5)
| spl25_7 ),
inference(resolution,[],[f646,f130]) ).
fof(f646,plain,
( ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| spl25_7 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f644,plain,
( spl25_7
<=> sP2(sK5,sK7(sK10(sK6,sK5)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
fof(f809,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),sK13(sK10(X0,sK10(X1,X2)))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),sK13(sK10(X0,sK10(X1,X2)))))))
| ~ sP3(sK10(X0,sK10(X1,X2))) ),
inference(resolution,[],[f316,f87]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( ~ sP1(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3)))) ),
inference(resolution,[],[f177,f93]) ).
fof(f744,plain,
( ! [X0] :
( sK19(sK10(sK6,sK5),sK12(sK10(sK6,sK5))) = sK14(sK5,sK19(sK10(sK6,sK5),sK12(sK10(sK6,sK5))),sK6)
| sK7(sK10(X0,sK10(sK6,sK5))) = sK14(sK10(sK6,sK5),sK7(sK10(X0,sK10(sK6,sK5))),X0)
| sK9(sK10(X0,sK10(sK6,sK5))) = singleton(sK8(sK10(X0,sK10(sK6,sK5)))) )
| ~ spl25_3 ),
inference(resolution,[],[f304,f513]) ).
fof(f743,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sP3(X1) ),
inference(resolution,[],[f304,f101]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f209,f187]) ).
fof(f733,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3
| spl25_9 ),
inference(subsumption_resolution,[],[f700,f513]) ).
fof(f700,plain,
( ~ sP4(sK6,sK5)
| sK7(sK10(sK6,sK5)) = ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| spl25_9 ),
inference(resolution,[],[f695,f149]) ).
fof(f739,plain,
( ! [X0,X1] :
( sP2(X0,ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5)))),X1)
| ~ in(ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5)))),cartesian_product2(X0,X1))
| ~ in(sK15(sK5,sK7(sK10(sK6,sK5))),X0) )
| ~ spl25_3
| spl25_9 ),
inference(forward_demodulation,[],[f737,f732]) ).
fof(f737,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5)))),cartesian_product2(X0,X1))
| ~ in(sK15(sK5,sK7(sK10(sK6,sK5))),X0)
| sP2(X0,ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),singleton(sK15(sK5,sK7(sK10(sK6,sK5))))),X1) )
| ~ spl25_3
| spl25_9 ),
inference(superposition,[],[f114,f732]) ).
fof(f732,plain,
( sK16(sK5,sK7(sK10(sK6,sK5))) = singleton(sK15(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3
| spl25_9 ),
inference(subsumption_resolution,[],[f701,f513]) ).
fof(f701,plain,
( ~ sP4(sK6,sK5)
| sK16(sK5,sK7(sK10(sK6,sK5))) = singleton(sK15(sK5,sK7(sK10(sK6,sK5))))
| spl25_9 ),
inference(resolution,[],[f695,f142]) ).
fof(f707,plain,
( ! [X0] :
( sK17(sK10(sK6,sK5),sK13(sK10(sK6,sK5))) = sK14(sK5,sK17(sK10(sK6,sK5),sK13(sK10(sK6,sK5))),sK6)
| sK7(sK10(X0,sK10(sK6,sK5))) = sK14(sK10(sK6,sK5),sK7(sK10(X0,sK10(sK6,sK5))),X0)
| sK9(sK10(X0,sK10(sK6,sK5))) = singleton(sK8(sK10(X0,sK10(sK6,sK5)))) )
| ~ spl25_3 ),
inference(resolution,[],[f297,f513]) ).
fof(f706,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sP3(X1) ),
inference(resolution,[],[f297,f101]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f204,f187]) ).
fof(f705,plain,
( ~ in(sK10(sK6,sK5),sK7(sK10(sK6,sK5)))
| spl25_9 ),
inference(resolution,[],[f703,f81]) ).
fof(f703,plain,
( in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| spl25_9 ),
inference(resolution,[],[f695,f71]) ).
fof(f685,plain,
! [X2,X0,X1] :
( sK7(sK10(X0,sK10(X1,X2))) = ordered_pair(sK8(sK10(X0,sK10(X1,X2))),sK9(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| sP3(sK10(X1,X2)) ),
inference(resolution,[],[f340,f101]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| sK7(sK10(X0,sK10(X1,X2))) = ordered_pair(sK8(sK10(X0,sK10(X1,X2))),sK9(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f195,f93]) ).
fof(f670,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| ~ in(cartesian_product2(sK5,sK6),sK7(sK10(X0,sK10(X1,X2)))) ),
inference(resolution,[],[f250,f81]) ).
fof(f250,plain,
! [X2,X0,X1] :
( in(sK7(sK10(X0,sK10(X1,X2))),cartesian_product2(sK5,sK6))
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f160,f91]) ).
fof(f660,plain,
( in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ spl25_3
| spl25_7 ),
inference(subsumption_resolution,[],[f654,f513]) ).
fof(f654,plain,
( in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ sP4(sK6,sK5)
| spl25_7 ),
inference(resolution,[],[f646,f130]) ).
fof(f642,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),sK12(sK10(X0,sK10(X1,X2))))) = sK14(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),sK12(sK10(X0,sK10(X1,X2))))),X1)
| ~ sP3(sK10(X0,sK10(X1,X2))) ),
inference(resolution,[],[f325,f85]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ sP0(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3)) = sK14(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3)),X1) ),
inference(resolution,[],[f179,f90]) ).
fof(f600,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_3 ),
inference(resolution,[],[f513,f184]) ).
fof(f598,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| sK16(sK5,sK7(sK10(sK6,sK5))) = singleton(sK15(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3 ),
inference(resolution,[],[f513,f183]) ).
fof(f597,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| sK7(sK10(sK6,sK5)) = ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3 ),
inference(resolution,[],[f513,f182]) ).
fof(f513,plain,
( sP4(sK6,sK5)
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f512,plain,
( spl25_3
<=> sP4(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
fof(f551,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),sK13(sK10(X0,sK10(X1,X2))))) = sK14(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),sK13(sK10(X0,sK10(X1,X2))))),X1)
| ~ sP3(sK10(X0,sK10(X1,X2))) ),
inference(resolution,[],[f317,f87]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ sP1(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3)) = sK14(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3)),X1) ),
inference(resolution,[],[f177,f90]) ).
fof(f533,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_3 ),
inference(resolution,[],[f513,f184]) ).
fof(f535,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_3 ),
inference(resolution,[],[f513,f163]) ).
fof(f534,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK16(sK5,sK7(sK10(sK6,sK5))) = singleton(sK15(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3 ),
inference(resolution,[],[f513,f162]) ).
fof(f532,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK7(sK10(sK6,sK5)) = ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3 ),
inference(resolution,[],[f513,f161]) ).
fof(f531,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| sK16(sK5,sK7(sK10(sK6,sK5))) = singleton(sK15(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3 ),
inference(resolution,[],[f513,f183]) ).
fof(f530,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| sK7(sK10(sK6,sK5)) = ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3 ),
inference(resolution,[],[f513,f182]) ).
fof(f529,plain,
! [X2,X0,X1] :
( sK7(sK10(X0,sK10(X1,X2))) = ordered_pair(sK8(sK10(X0,sK10(X1,X2))),sK9(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = sK14(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1)
| sP3(sK10(X1,X2)) ),
inference(resolution,[],[f341,f101]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| sK7(sK10(X0,sK10(X1,X2))) = ordered_pair(sK8(sK10(X0,sK10(X1,X2))),sK9(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = sK14(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1) ),
inference(resolution,[],[f195,f90]) ).
fof(f469,plain,
! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| sK11(sK5) = sK13(sK5)
| ~ sP4(X1,sK5) ),
inference(duplicate_literal_removal,[],[f465]) ).
fof(f465,plain,
! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| sK11(sK5) = sK13(sK5)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| ~ sP4(X1,sK5) ),
inference(resolution,[],[f452,f164]) ).
fof(f472,plain,
! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| sK11(sK5) = sK13(sK5)
| ~ sP4(X1,sK5) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f469,f466,f470,f467,f471,f468]) ).
fof(f468,plain,
! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| sK11(sK5) = sK13(sK5)
| in(sK8(sK10(X1,sK5)),sK5)
| ~ sP4(X1,sK5) ),
inference(resolution,[],[f452,f144]) ).
fof(f471,plain,
! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| sK11(sK5) = sK13(sK5)
| ~ sP4(X1,sK5) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f469,f466,f470,f467]) ).
fof(f467,plain,
! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| sK11(sK5) = sK13(sK5)
| ~ in(sK5,sK8(sK10(X1,sK5)))
| ~ sP4(X1,sK5) ),
inference(resolution,[],[f452,f147]) ).
fof(f470,plain,
! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| sK11(sK5) = sK13(sK5)
| ~ sP4(X1,sK5) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f469,f466]) ).
fof(f466,plain,
! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| sK11(sK5) = sK13(sK5)
| ~ sP4(X1,sK5)
| in(sK7(sK10(X1,sK5)),cartesian_product2(sK5,sK6)) ),
inference(resolution,[],[f452,f158]) ).
fof(f464,plain,
! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| sK11(sK5) = sK13(sK5)
| sK7(sK10(X1,sK5)) = ordered_pair(sK8(sK10(X1,sK5)),sK9(sK10(X1,sK5)))
| ~ sP4(X1,sK5) ),
inference(resolution,[],[f452,f185]) ).
fof(f452,plain,
! [X2,X0,X1] :
( ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(duplicate_literal_removal,[],[f442]) ).
fof(f442,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(superposition,[],[f228,f235]) ).
fof(f463,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f452,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449]) ).
fof(f449,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK11(X0) = sK12(X0) ),
inference(superposition,[],[f228,f274]) ).
fof(f462,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f452,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450]) ).
fof(f450,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0))) ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f448,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(superposition,[],[f228,f273]) ).
fof(f461,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f452,f451,f457,f444,f458,f445,f459,f446,f460,f447]) ).
fof(f447,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(superposition,[],[f228,f272]) ).
fof(f460,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f452,f451,f457,f444,f458,f445,f459,f446]) ).
fof(f446,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(superposition,[],[f228,f271]) ).
fof(f459,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f452,f451,f457,f444,f458,f445]) ).
fof(f445,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0))) ),
inference(superposition,[],[f228,f270]) ).
fof(f458,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f452,f451,f457,f444]) ).
fof(f444,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0))) ),
inference(superposition,[],[f228,f269]) ).
fof(f457,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f317,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f341,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f452,f451]) ).
fof(f451,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK11(X0) = sK12(X0) ),
inference(duplicate_literal_removal,[],[f443]) ).
fof(f443,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK12(X0) ),
inference(superposition,[],[f228,f236]) ).
fof(f453,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f441,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(superposition,[],[f228,f234]) ).
fof(f454,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(duplicate_literal_removal,[],[f440]) ).
fof(f440,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(superposition,[],[f228,f233]) ).
fof(f455,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0))) ),
inference(duplicate_literal_removal,[],[f439]) ).
fof(f439,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0))) ),
inference(superposition,[],[f228,f232]) ).
fof(f456,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0))) ),
inference(duplicate_literal_removal,[],[f438]) ).
fof(f438,plain,
! [X2,X0,X1] :
( sK7(X2) != sK7(sK10(X1,X0))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0))) ),
inference(superposition,[],[f228,f231]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sK7(X2) != ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0))))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(superposition,[],[f111,f202]) ).
fof(f437,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| in(sK7(sK10(X3,sK10(X0,sK10(X1,X2)))),cartesian_product2(sK5,sK6))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| ~ sP4(X1,X2)
| in(sK15(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2))))))),X2) ),
inference(resolution,[],[f263,f92]) ).
fof(f436,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| in(sK7(sK10(X3,sK10(X0,sK10(X1,X2)))),cartesian_product2(sK5,sK6))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))) = sK14(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))),X1) ),
inference(resolution,[],[f263,f90]) ).
fof(f435,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| in(sK7(sK10(X3,sK10(X0,sK10(X1,X2)))),cartesian_product2(sK5,sK6))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2))))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))))) ),
inference(resolution,[],[f263,f93]) ).
fof(f434,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| in(sK7(sK10(X3,sK10(X0,sK10(X1,X2)))),cartesian_product2(sK5,sK6))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2))))))),sK16(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))))) ),
inference(resolution,[],[f263,f91]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( sP2(X3,sK15(sK10(X2,X3),sK15(sK10(X1,sK10(X2,X3)),sK7(sK10(X0,sK10(X1,sK10(X2,X3)))))),X2)
| ~ sP4(X1,sK10(X2,X3))
| in(sK7(sK10(X0,sK10(X1,sK10(X2,X3)))),cartesian_product2(sK5,sK6))
| ~ sP4(X0,sK10(X1,sK10(X2,X3)))
| ~ sP4(X2,X3) ),
inference(resolution,[],[f253,f82]) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK12(sK10(X0,X1)) = sK11(sK10(X0,X1)) ),
inference(resolution,[],[f414,f84]) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK13(sK10(X0,X1)) = sK11(sK10(X0,X1)) ),
inference(resolution,[],[f414,f86]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK18(sK10(X0,X1),sK13(sK10(X0,X1))) = singleton(sK17(sK10(X0,X1),sK13(sK10(X0,X1)))) ),
inference(resolution,[],[f414,f126]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK20(sK10(X0,X1),sK12(sK10(X0,X1))) = singleton(sK19(sK10(X0,X1),sK12(sK10(X0,X1)))) ),
inference(resolution,[],[f414,f127]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK13(sK10(X0,X1)) = ordered_pair(sK17(sK10(X0,X1),sK13(sK10(X0,X1))),sK18(sK10(X0,X1),sK13(sK10(X0,X1)))) ),
inference(resolution,[],[f414,f139]) ).
fof(f422,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK12(sK10(X0,X1)) = ordered_pair(sK19(sK10(X0,X1),sK12(sK10(X0,X1))),sK20(sK10(X0,X1),sK12(sK10(X0,X1)))) ),
inference(resolution,[],[f414,f140]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0) ),
inference(duplicate_literal_removal,[],[f421]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f414,f204]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0) ),
inference(duplicate_literal_removal,[],[f420]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f414,f209]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))) = singleton(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))))) ),
inference(duplicate_literal_removal,[],[f419]) ).
fof(f419,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))) = singleton(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f414,f256]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))) = singleton(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))))) ),
inference(duplicate_literal_removal,[],[f418]) ).
fof(f418,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))) = singleton(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f414,f257]) ).
fof(f432,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))))) ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f414,f278]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))))) ),
inference(duplicate_literal_removal,[],[f416]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))) = singleton(sK15(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f414,f298]) ).
fof(f414,plain,
! [X2,X0,X1] :
( sP3(sK10(X1,X2))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| sK9(sK10(X0,sK10(X1,X2))) = singleton(sK8(sK10(X0,sK10(X1,X2)))) ),
inference(resolution,[],[f287,f101]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| ~ in(sK5,sK8(sK10(X0,sK10(X1,X2)))) ),
inference(resolution,[],[f218,f81]) ).
fof(f218,plain,
! [X2,X0,X1] :
( in(sK8(sK10(X0,sK10(X1,X2))),sK5)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f151,f91]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| sK9(sK10(X0,sK10(X1,X2))) = singleton(sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f175,f93]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,sK15(X3,sK15(sK10(X2,X3),sK15(sK10(X1,sK10(X2,X3)),sK7(sK10(X0,sK10(X1,sK10(X2,X3))))))))
| ~ in(sK5,sK8(sK10(X0,sK10(X1,sK10(X2,X3)))))
| ~ sP4(X2,X3)
| ~ sP4(X1,sK10(X2,X3))
| ~ sP4(X0,sK10(X1,sK10(X2,X3))) ),
inference(resolution,[],[f409,f81]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,sK15(X3,sK15(sK10(X2,X3),sK15(sK10(X1,sK10(X2,X3)),sK7(sK10(X0,sK10(X1,sK10(X2,X3))))))))
| in(sK8(sK10(X0,sK10(X1,sK10(X2,X3)))),sK5)
| ~ sP4(X2,X3)
| ~ sP4(X1,sK10(X2,X3))
| ~ sP4(X0,sK10(X1,sK10(X2,X3))) ),
inference(resolution,[],[f405,f81]) ).
fof(f413,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,sK10(X1,sK10(X2,sK10(X3,X4))))
| ~ in(sK5,sK8(sK10(X0,sK10(X1,sK10(X2,sK10(X3,X4))))))
| ~ sP4(X2,sK10(X3,X4))
| ~ sP4(X1,sK10(X2,sK10(X3,X4)))
| sP2(X4,sK15(sK10(X3,X4),sK15(sK10(X2,sK10(X3,X4)),sK15(sK10(X1,sK10(X2,sK10(X3,X4))),sK7(sK10(X0,sK10(X1,sK10(X2,sK10(X3,X4)))))))),X3)
| ~ sP4(X3,X4) ),
inference(resolution,[],[f409,f82]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( in(sK15(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2))))))),X2)
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| ~ in(sK5,sK8(sK10(X3,sK10(X0,sK10(X1,X2)))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f242,f92]) ).
fof(f411,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,sK10(X1,sK10(X2,sK10(X3,X4))))
| in(sK8(sK10(X0,sK10(X1,sK10(X2,sK10(X3,X4))))),sK5)
| ~ sP4(X2,sK10(X3,X4))
| ~ sP4(X1,sK10(X2,sK10(X3,X4)))
| sP2(X4,sK15(sK10(X3,X4),sK15(sK10(X2,sK10(X3,X4)),sK15(sK10(X1,sK10(X2,sK10(X3,X4))),sK7(sK10(X0,sK10(X1,sK10(X2,sK10(X3,X4)))))))),X3)
| ~ sP4(X3,X4) ),
inference(resolution,[],[f405,f82]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( in(sK15(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2))))))),X2)
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| in(sK8(sK10(X3,sK10(X0,sK10(X1,X2)))),sK5)
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f238,f92]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| ~ in(sK5,sK8(sK10(X3,sK10(X0,sK10(X1,X2)))))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))) = sK14(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))),X1) ),
inference(resolution,[],[f242,f90]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| ~ in(sK5,sK8(sK10(X3,sK10(X0,sK10(X1,X2)))))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2))))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))))) ),
inference(resolution,[],[f242,f93]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| ~ in(sK5,sK8(sK10(X3,sK10(X0,sK10(X1,X2)))))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2))))))),sK16(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))))) ),
inference(resolution,[],[f242,f91]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( sP2(X3,sK15(sK10(X2,X3),sK15(sK10(X1,sK10(X2,X3)),sK7(sK10(X0,sK10(X1,sK10(X2,X3)))))),X2)
| ~ sP4(X1,sK10(X2,X3))
| ~ sP4(X0,sK10(X1,sK10(X2,X3)))
| ~ in(sK5,sK8(sK10(X0,sK10(X1,sK10(X2,X3)))))
| ~ sP4(X2,X3) ),
inference(resolution,[],[f225,f82]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| in(sK8(sK10(X3,sK10(X0,sK10(X1,X2)))),sK5)
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))) = sK14(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))),X1) ),
inference(resolution,[],[f238,f90]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| in(sK8(sK10(X3,sK10(X0,sK10(X1,X2)))),sK5)
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2))))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))))) ),
inference(resolution,[],[f238,f93]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X3,sK10(X0,sK10(X1,X2)))
| in(sK8(sK10(X3,sK10(X0,sK10(X1,X2)))),sK5)
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2))))))),sK16(X2,sK15(sK10(X1,X2),sK15(sK10(X0,sK10(X1,X2)),sK7(sK10(X3,sK10(X0,sK10(X1,X2)))))))) ),
inference(resolution,[],[f238,f91]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( sP2(X3,sK15(sK10(X2,X3),sK15(sK10(X1,sK10(X2,X3)),sK7(sK10(X0,sK10(X1,sK10(X2,X3)))))),X2)
| ~ sP4(X1,sK10(X2,X3))
| ~ sP4(X0,sK10(X1,sK10(X2,X3)))
| in(sK8(sK10(X0,sK10(X1,sK10(X2,X3)))),sK5)
| ~ sP4(X2,X3) ),
inference(resolution,[],[f221,f82]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK12(sK10(X0,X1)) = sK11(sK10(X0,X1)) ),
inference(resolution,[],[f383,f84]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK13(sK10(X0,X1)) = sK11(sK10(X0,X1)) ),
inference(resolution,[],[f383,f86]) ).
fof(f393,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK18(sK10(X0,X1),sK13(sK10(X0,X1))) = singleton(sK17(sK10(X0,X1),sK13(sK10(X0,X1)))) ),
inference(resolution,[],[f383,f126]) ).
fof(f392,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK20(sK10(X0,X1),sK12(sK10(X0,X1))) = singleton(sK19(sK10(X0,X1),sK12(sK10(X0,X1)))) ),
inference(resolution,[],[f383,f127]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK13(sK10(X0,X1)) = ordered_pair(sK17(sK10(X0,X1),sK13(sK10(X0,X1))),sK18(sK10(X0,X1),sK13(sK10(X0,X1)))) ),
inference(resolution,[],[f383,f139]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK12(sK10(X0,X1)) = ordered_pair(sK19(sK10(X0,X1),sK12(sK10(X0,X1))),sK20(sK10(X0,X1),sK12(sK10(X0,X1)))) ),
inference(resolution,[],[f383,f140]) ).
fof(f396,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0) ),
inference(duplicate_literal_removal,[],[f389]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f383,f204]) ).
fof(f397,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0) ),
inference(duplicate_literal_removal,[],[f388]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f383,f209]) ).
fof(f398,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))) = singleton(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))))) ),
inference(duplicate_literal_removal,[],[f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))) = singleton(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f383,f256]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))) = singleton(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))))) ),
inference(duplicate_literal_removal,[],[f386]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))) = singleton(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f383,f257]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))))) ),
inference(duplicate_literal_removal,[],[f385]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f383,f278]) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))))) ),
inference(duplicate_literal_removal,[],[f384]) ).
fof(f384,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1)
| sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = sK14(X1,sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),X0)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1))))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f383,f298]) ).
fof(f383,plain,
! [X2,X0,X1] :
( sP3(sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = sK14(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1)
| sK9(sK10(X0,sK10(X1,X2))) = singleton(sK8(sK10(X0,sK10(X1,X2)))) ),
inference(resolution,[],[f288,f101]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| sK9(sK10(X0,sK10(X1,X2))) = singleton(sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = sK14(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1) ),
inference(resolution,[],[f175,f90]) ).
fof(f380,plain,
! [X2,X0,X1] :
( ~ in(cartesian_product2(sK5,sK6),sK7(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f251,f81]) ).
fof(f382,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0))) ),
inference(superposition,[],[f80,f270]) ).
fof(f270,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK13(X1) = ordered_pair(sK17(X1,sK13(X1)),sK18(X1,sK13(X1))) ),
inference(resolution,[],[f264,f139]) ).
fof(f381,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0))) ),
inference(superposition,[],[f80,f269]) ).
fof(f269,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK12(X1) = ordered_pair(sK19(X1,sK12(X1)),sK20(X1,sK12(X1))) ),
inference(resolution,[],[f264,f140]) ).
fof(f251,plain,
! [X2,X0,X1] :
( in(sK7(sK10(X0,sK10(X1,X2))),cartesian_product2(sK5,sK6))
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f160,f93]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ in(X2,sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2))
| sK7(sK10(X0,sK10(X1,X2))) = ordered_pair(sK8(sK10(X0,sK10(X1,X2))),sK9(sK10(X0,sK10(X1,X2)))) ),
inference(resolution,[],[f342,f81]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ in(cartesian_product2(sK5,sK6),sK7(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = sK14(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1)
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f252,f81]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ in(sK5,sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f153,f93]) ).
fof(f379,plain,
! [X2,X3,X0,X1] :
( sK7(sK10(X0,sK10(X1,sK10(X2,X3)))) = ordered_pair(sK8(sK10(X0,sK10(X1,sK10(X2,X3)))),sK9(sK10(X0,sK10(X1,sK10(X2,X3)))))
| ~ sP4(X1,sK10(X2,X3))
| ~ sP4(X0,sK10(X1,sK10(X2,X3)))
| sP2(X3,sK15(sK10(X2,X3),sK15(sK10(X1,sK10(X2,X3)),sK7(sK10(X0,sK10(X1,sK10(X2,X3)))))),X2)
| ~ sP4(X2,X3) ),
inference(resolution,[],[f342,f82]) ).
fof(f342,plain,
! [X2,X0,X1] :
( in(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),X2)
| sK7(sK10(X0,sK10(X1,X2))) = ordered_pair(sK8(sK10(X0,sK10(X1,X2))),sK9(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f195,f92]) ).
fof(f377,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(superposition,[],[f80,f272]) ).
fof(f272,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK18(X1,sK13(X1)) = singleton(sK17(X1,sK13(X1))) ),
inference(resolution,[],[f264,f126]) ).
fof(f376,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(superposition,[],[f80,f271]) ).
fof(f271,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK20(X1,sK12(X1)) = singleton(sK19(X1,sK12(X1))) ),
inference(resolution,[],[f264,f127]) ).
fof(f252,plain,
! [X2,X0,X1] :
( in(sK7(sK10(X0,sK10(X1,X2))),cartesian_product2(sK5,sK6))
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = sK14(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1) ),
inference(resolution,[],[f160,f90]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| ~ in(sK5,sK8(sK10(X0,sK10(X1,X2)))) ),
inference(resolution,[],[f219,f81]) ).
fof(f219,plain,
! [X2,X0,X1] :
( in(sK8(sK10(X0,sK10(X1,X2))),sK5)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))) = singleton(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f151,f93]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ in(sK5,sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = sK14(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1) ),
inference(resolution,[],[f153,f90]) ).
fof(f373,plain,
! [X0,X1] :
( ~ empty(sK13(X0))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0)))) ),
inference(superposition,[],[f80,f245]) ).
fof(f372,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK13(X1) = ordered_pair(sK17(X1,sK13(X1)),sK18(X1,sK13(X1)))
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1)))) ),
inference(superposition,[],[f80,f245]) ).
fof(f245,plain,
! [X0,X1] :
( sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0)))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0)))) ),
inference(resolution,[],[f243,f139]) ).
fof(f371,plain,
! [X0,X1] :
( ~ empty(sK12(X0))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0)))) ),
inference(superposition,[],[f80,f244]) ).
fof(f370,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK12(X1) = ordered_pair(sK19(X1,sK12(X1)),sK20(X1,sK12(X1)))
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1)))) ),
inference(superposition,[],[f80,f244]) ).
fof(f244,plain,
! [X0,X1] :
( sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0)))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0)))) ),
inference(resolution,[],[f243,f140]) ).
fof(f363,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0))) ),
inference(superposition,[],[f80,f232]) ).
fof(f369,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f298,f187]) ).
fof(f368,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = singleton(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f298,f197]) ).
fof(f367,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f298,f211]) ).
fof(f366,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f298,f226]) ).
fof(f365,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = singleton(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f298,f243]) ).
fof(f364,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f298,f264]) ).
fof(f298,plain,
! [X0,X1] :
( ~ sP3(sK10(X0,X1))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))),sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f169,f85]) ).
fof(f232,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK13(X1) = ordered_pair(sK17(X1,sK13(X1)),sK18(X1,sK13(X1))) ),
inference(resolution,[],[f226,f139]) ).
fof(f362,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0))) ),
inference(superposition,[],[f80,f231]) ).
fof(f231,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK12(X1) = ordered_pair(sK19(X1,sK12(X1)),sK20(X1,sK12(X1))) ),
inference(resolution,[],[f226,f140]) ).
fof(f361,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = sK14(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1)
| ~ in(sK5,sK8(sK10(X0,sK10(X1,X2)))) ),
inference(resolution,[],[f220,f81]) ).
fof(f220,plain,
! [X2,X0,X1] :
( in(sK8(sK10(X0,sK10(X1,X2))),sK5)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = sK14(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1) ),
inference(resolution,[],[f151,f90]) ).
fof(f359,plain,
! [X2,X3,X0,X1] :
( ~ in(X2,sK15(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP0(sK10(X0,sK10(X1,X2)),X3) ),
inference(resolution,[],[f326,f81]) ).
fof(f357,plain,
! [X2,X3,X0,X1] :
( ~ in(X2,sK15(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP1(sK10(X0,sK10(X1,X2)),X3) ),
inference(resolution,[],[f318,f81]) ).
fof(f360,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP0(sK10(X0,sK10(X1,sK10(X2,X3))),X4)
| ~ sP4(X1,sK10(X2,X3))
| ~ sP4(X0,sK10(X1,sK10(X2,X3)))
| sP2(X3,sK15(sK10(X2,X3),sK15(sK10(X1,sK10(X2,X3)),sK19(sK10(X0,sK10(X1,sK10(X2,X3))),X4))),X2)
| ~ sP4(X2,X3) ),
inference(resolution,[],[f326,f82]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( in(sK15(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3))),X2)
| ~ sP0(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f179,f92]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(sK10(X0,sK10(X1,sK10(X2,X3))),X4)
| ~ sP4(X1,sK10(X2,X3))
| ~ sP4(X0,sK10(X1,sK10(X2,X3)))
| sP2(X3,sK15(sK10(X2,X3),sK15(sK10(X1,sK10(X2,X3)),sK17(sK10(X0,sK10(X1,sK10(X2,X3))),X4))),X2)
| ~ sP4(X2,X3) ),
inference(resolution,[],[f318,f82]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( in(sK15(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3))),X2)
| ~ sP1(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f177,f92]) ).
fof(f356,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1))))
| sK18(X1,sK13(X1)) = singleton(sK17(X1,sK13(X1))) ),
inference(superposition,[],[f80,f247]) ).
fof(f247,plain,
! [X0,X1] :
( sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(resolution,[],[f243,f126]) ).
fof(f349,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1))))
| sK20(X1,sK12(X1)) = singleton(sK19(X1,sK12(X1))) ),
inference(superposition,[],[f80,f246]) ).
fof(f355,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f278,f187]) ).
fof(f354,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = singleton(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f278,f197]) ).
fof(f353,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f278,f211]) ).
fof(f352,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f278,f226]) ).
fof(f351,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = singleton(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f278,f243]) ).
fof(f350,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f278,f264]) ).
fof(f278,plain,
! [X0,X1] :
( ~ sP3(sK10(X0,X1))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))),sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f165,f87]) ).
fof(f246,plain,
! [X0,X1] :
( sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(resolution,[],[f243,f127]) ).
fof(f348,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(superposition,[],[f80,f234]) ).
fof(f234,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK18(X1,sK13(X1)) = singleton(sK17(X1,sK13(X1))) ),
inference(resolution,[],[f226,f126]) ).
fof(f347,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(superposition,[],[f80,f233]) ).
fof(f233,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK20(X1,sK12(X1)) = singleton(sK19(X1,sK12(X1))) ),
inference(resolution,[],[f226,f127]) ).
fof(f346,plain,
! [X0,X1] :
( ~ empty(sK13(X0))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK7(sK10(X1,X0)) = sK14(X0,sK7(sK10(X1,X0)),X1) ),
inference(superposition,[],[f80,f213]) ).
fof(f345,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK13(X1) = ordered_pair(sK17(X1,sK13(X1)),sK18(X1,sK13(X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0) ),
inference(superposition,[],[f80,f213]) ).
fof(f213,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK13(X1) = ordered_pair(sK17(X1,sK13(X1)),sK18(X1,sK13(X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0) ),
inference(resolution,[],[f211,f139]) ).
fof(f344,plain,
! [X0,X1] :
( ~ empty(sK12(X0))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK7(sK10(X1,X0)) = sK14(X0,sK7(sK10(X1,X0)),X1) ),
inference(superposition,[],[f80,f212]) ).
fof(f343,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK12(X1) = ordered_pair(sK19(X1,sK12(X1)),sK20(X1,sK12(X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0) ),
inference(superposition,[],[f80,f212]) ).
fof(f212,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK12(X1) = ordered_pair(sK19(X1,sK12(X1)),sK20(X1,sK12(X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0) ),
inference(resolution,[],[f211,f140]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| sK7(sK10(X0,sK10(X1,X2))) = ordered_pair(sK8(sK10(X0,sK10(X1,X2))),sK9(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f195,f91]) ).
fof(f195,plain,
! [X2,X0,X1] :
( sP2(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1)
| ~ sP4(X0,sK10(X1,X2))
| sK7(sK10(X0,sK10(X1,X2))) = ordered_pair(sK8(sK10(X0,sK10(X1,X2))),sK9(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2) ),
inference(resolution,[],[f185,f82]) ).
fof(f338,plain,
! [X2,X0,X1] :
( sK16(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))) = singleton(sK15(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK7(sK10(X2,sK10(X1,X0))) = sK14(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0))),X2)
| sK9(sK10(X2,sK10(X1,X0))) = singleton(sK8(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f257,f187]) ).
fof(f337,plain,
! [X2,X0,X1] :
( sK16(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))) = singleton(sK15(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK16(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))) = singleton(sK15(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))))
| sK9(sK10(X2,sK10(X1,X0))) = singleton(sK8(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f257,f197]) ).
fof(f336,plain,
! [X2,X0,X1] :
( sK16(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))) = singleton(sK15(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK7(sK10(X2,sK10(X1,X0))) = sK14(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0))),X2)
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK8(sK10(X2,sK10(X1,X0))),sK9(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f257,f211]) ).
fof(f335,plain,
! [X2,X0,X1] :
( sK16(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))) = singleton(sK15(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK15(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))),sK16(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))))
| sK9(sK10(X2,sK10(X1,X0))) = singleton(sK8(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f257,f226]) ).
fof(f334,plain,
! [X2,X0,X1] :
( sK16(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))) = singleton(sK15(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK16(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))) = singleton(sK15(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))))
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK8(sK10(X2,sK10(X1,X0))),sK9(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f257,f243]) ).
fof(f333,plain,
! [X2,X0,X1] :
( sK16(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))) = singleton(sK15(X0,sK19(sK10(X1,X0),sK12(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK15(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))),sK16(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))))
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK8(sK10(X2,sK10(X1,X0))),sK9(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f257,f264]) ).
fof(f257,plain,
! [X0,X1] :
( ~ sP3(sK10(X0,X1))
| sK16(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))) = singleton(sK15(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f170,f85]) ).
fof(f332,plain,
! [X2,X0,X1] :
( sK16(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))) = singleton(sK15(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK7(sK10(X2,sK10(X1,X0))) = sK14(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0))),X2)
| sK9(sK10(X2,sK10(X1,X0))) = singleton(sK8(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f256,f187]) ).
fof(f331,plain,
! [X2,X0,X1] :
( sK16(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))) = singleton(sK15(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK16(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))) = singleton(sK15(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))))
| sK9(sK10(X2,sK10(X1,X0))) = singleton(sK8(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f256,f197]) ).
fof(f330,plain,
! [X2,X0,X1] :
( sK16(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))) = singleton(sK15(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK7(sK10(X2,sK10(X1,X0))) = sK14(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0))),X2)
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK8(sK10(X2,sK10(X1,X0))),sK9(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f256,f211]) ).
fof(f329,plain,
! [X2,X0,X1] :
( sK16(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))) = singleton(sK15(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK15(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))),sK16(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))))
| sK9(sK10(X2,sK10(X1,X0))) = singleton(sK8(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f256,f226]) ).
fof(f328,plain,
! [X2,X0,X1] :
( sK16(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))) = singleton(sK15(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK16(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))) = singleton(sK15(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))))
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK8(sK10(X2,sK10(X1,X0))),sK9(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f256,f243]) ).
fof(f327,plain,
! [X2,X0,X1] :
( sK16(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))) = singleton(sK15(X0,sK17(sK10(X1,X0),sK13(sK10(X1,X0)))))
| ~ sP4(X1,X0)
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK15(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))),sK16(sK10(X1,X0),sK7(sK10(X2,sK10(X1,X0)))))
| sK7(sK10(X2,sK10(X1,X0))) = ordered_pair(sK8(sK10(X2,sK10(X1,X0))),sK9(sK10(X2,sK10(X1,X0)))) ),
inference(resolution,[],[f256,f264]) ).
fof(f256,plain,
! [X0,X1] :
( ~ sP3(sK10(X0,X1))
| sK16(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))) = singleton(sK15(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1)))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f166,f87]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP0(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3)) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3))),sK16(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3)))) ),
inference(resolution,[],[f179,f91]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( sP2(X2,sK15(sK10(X1,X2),sK19(sK10(X0,sK10(X1,X2)),X3)),X1)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP0(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X1,X2) ),
inference(resolution,[],[f172,f82]) ).
fof(f281,plain,
! [X0,X1] :
( in(sK7(sK10(X1,X0)),cartesian_product2(X0,X1))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f89,f189]) ).
fof(f280,plain,
! [X0,X1] :
( ~ in(cartesian_product2(X0,X1),sK7(sK10(X1,X0)))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f138,f189]) ).
fof(f277,plain,
! [X0,X1] :
( in(sK7(sK10(X1,X0)),cartesian_product2(X0,X1))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f89,f188]) ).
fof(f276,plain,
! [X0,X1] :
( ~ in(cartesian_product2(X0,X1),sK7(sK10(X1,X0)))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f138,f188]) ).
fof(f320,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK11(X0) = sK12(X0) ),
inference(superposition,[],[f80,f274]) ).
fof(f274,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK12(X1) = sK11(X1) ),
inference(resolution,[],[f264,f84]) ).
fof(f319,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(superposition,[],[f80,f273]) ).
fof(f273,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK13(X1) = sK11(X1) ),
inference(resolution,[],[f264,f86]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ sP1(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3)) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3))),sK16(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3)))) ),
inference(resolution,[],[f177,f91]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( sP2(X2,sK15(sK10(X1,X2),sK17(sK10(X0,sK10(X1,X2)),X3)),X1)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP1(sK10(X0,sK10(X1,X2)),X3)
| ~ sP4(X1,X2) ),
inference(resolution,[],[f168,f82]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ in(X2,sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2))
| sK9(sK10(X0,sK10(X1,X2))) = singleton(sK8(sK10(X0,sK10(X1,X2)))) ),
inference(resolution,[],[f289,f81]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( sK9(sK10(X0,sK10(X1,sK10(X2,X3)))) = singleton(sK8(sK10(X0,sK10(X1,sK10(X2,X3)))))
| ~ sP4(X1,sK10(X2,X3))
| ~ sP4(X0,sK10(X1,sK10(X2,X3)))
| sP2(X3,sK15(sK10(X2,X3),sK15(sK10(X1,sK10(X2,X3)),sK7(sK10(X0,sK10(X1,sK10(X2,X3)))))),X2)
| ~ sP4(X2,X3) ),
inference(resolution,[],[f289,f82]) ).
fof(f289,plain,
! [X2,X0,X1] :
( in(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),X2)
| sK9(sK10(X0,sK10(X1,X2))) = singleton(sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f175,f92]) ).
fof(f312,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK18(X1,sK13(X1)) = singleton(sK17(X1,sK13(X1))) ),
inference(superposition,[],[f80,f215]) ).
fof(f215,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK18(X1,sK13(X1)) = singleton(sK17(X1,sK13(X1))) ),
inference(resolution,[],[f211,f126]) ).
fof(f311,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK20(X1,sK12(X1)) = singleton(sK19(X1,sK12(X1))) ),
inference(superposition,[],[f80,f214]) ).
fof(f214,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK20(X1,sK12(X1)) = singleton(sK19(X1,sK12(X1))) ),
inference(resolution,[],[f211,f127]) ).
fof(f310,plain,
! [X0,X1] :
( ~ empty(sK13(X0))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f80,f199]) ).
fof(f309,plain,
! [X2,X0,X1] :
( sK7(X2) != ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0))))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f111,f199]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0)))),cartesian_product2(X2,X3))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),X2)
| sP2(X2,ordered_pair(sK15(X0,sK7(sK10(X1,X0))),singleton(sK15(X0,sK7(sK10(X1,X0))))),X3)
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f114,f199]) ).
fof(f199,plain,
! [X0,X1] :
( sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(resolution,[],[f197,f139]) ).
fof(f307,plain,
! [X0,X1] :
( ~ empty(sK12(X0))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f80,f198]) ).
fof(f306,plain,
! [X2,X0,X1] :
( sK7(X2) != ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0))))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f111,f198]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0)))),cartesian_product2(X2,X3))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),X2)
| sP2(X2,ordered_pair(sK15(X0,sK7(sK10(X1,X0))),singleton(sK15(X0,sK7(sK10(X1,X0))))),X3)
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f114,f198]) ).
fof(f198,plain,
! [X0,X1] :
( sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(resolution,[],[f197,f140]) ).
fof(f303,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = singleton(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f209,f197]) ).
fof(f302,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f209,f211]) ).
fof(f301,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f209,f226]) ).
fof(f300,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = singleton(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f209,f243]) ).
fof(f299,plain,
! [X2,X0,X1] :
( sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f209,f264]) ).
fof(f209,plain,
! [X0,X1] :
( ~ sP3(sK10(X0,X1))
| sK19(sK10(X0,X1),sK12(sK10(X0,X1))) = sK14(X1,sK19(sK10(X0,X1),sK12(sK10(X0,X1))),X0)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f171,f85]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ sP0(sK10(X0,X1),X2)
| ~ sP4(X0,X1)
| sK19(sK10(X0,X1),X2) = ordered_pair(sK15(X1,sK19(sK10(X0,X1),X2)),sK16(X1,sK19(sK10(X0,X1),X2))) ),
inference(resolution,[],[f134,f91]) ).
fof(f296,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = singleton(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f204,f197]) ).
fof(f295,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = sK14(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1))),X2)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f204,f211]) ).
fof(f294,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK9(sK10(X2,sK10(X0,X1))) = singleton(sK8(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f204,f226]) ).
fof(f293,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))) = singleton(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f204,f243]) ).
fof(f292,plain,
! [X2,X0,X1] :
( sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| ~ sP4(X0,X1)
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK15(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))),sK16(sK10(X0,X1),sK7(sK10(X2,sK10(X0,X1)))))
| sK7(sK10(X2,sK10(X0,X1))) = ordered_pair(sK8(sK10(X2,sK10(X0,X1))),sK9(sK10(X2,sK10(X0,X1)))) ),
inference(resolution,[],[f204,f264]) ).
fof(f204,plain,
! [X0,X1] :
( ~ sP3(sK10(X0,X1))
| sK17(sK10(X0,X1),sK13(sK10(X0,X1))) = sK14(X1,sK17(sK10(X0,X1),sK13(sK10(X0,X1))),X0)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f167,f87]) ).
fof(f261,plain,
! [X0,X1] :
( in(sK7(sK10(X1,X0)),cartesian_product2(X0,X1))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(superposition,[],[f89,f191]) ).
fof(f260,plain,
! [X0,X1] :
( ~ in(cartesian_product2(X0,X1),sK7(sK10(X1,X0)))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(superposition,[],[f138,f191]) ).
fof(f259,plain,
! [X0,X1] :
( in(sK7(sK10(X1,X0)),cartesian_product2(X0,X1))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(superposition,[],[f89,f190]) ).
fof(f258,plain,
! [X0,X1] :
( ~ in(cartesian_product2(X0,X1),sK7(sK10(X1,X0)))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(superposition,[],[f138,f190]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| sK9(sK10(X0,sK10(X1,X2))) = singleton(sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f175,f91]) ).
fof(f175,plain,
! [X2,X0,X1] :
( sP2(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1)
| ~ sP4(X0,sK10(X1,X2))
| sK9(sK10(X0,sK10(X1,X2))) = singleton(sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2) ),
inference(resolution,[],[f164,f82]) ).
fof(f285,plain,
! [X2,X0,X1] :
( sK7(X2) != ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0))))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(superposition,[],[f111,f201]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0)))),cartesian_product2(X2,X3))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),X2)
| sP2(X2,ordered_pair(sK15(X0,sK7(sK10(X1,X0))),singleton(sK15(X0,sK7(sK10(X1,X0))))),X3)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(superposition,[],[f114,f201]) ).
fof(f201,plain,
! [X0,X1] :
( sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(resolution,[],[f197,f126]) ).
fof(f283,plain,
! [X2,X0,X1] :
( sK7(X2) != ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0))))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(superposition,[],[f111,f200]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0)))),cartesian_product2(X2,X3))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),X2)
| sP2(X2,ordered_pair(sK15(X0,sK7(sK10(X1,X0))),singleton(sK15(X0,sK7(sK10(X1,X0))))),X3)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(superposition,[],[f114,f200]) ).
fof(f200,plain,
! [X0,X1] :
( sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(resolution,[],[f197,f127]) ).
fof(f279,plain,
! [X0,X1] :
( ~ empty(sK13(X0))
| sK7(sK10(X1,X0)) = sK14(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f80,f189]) ).
fof(f189,plain,
! [X0,X1] :
( sK13(X1) = ordered_pair(sK17(X1,sK13(X1)),sK18(X1,sK13(X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1))) ),
inference(resolution,[],[f187,f139]) ).
fof(f275,plain,
! [X0,X1] :
( ~ empty(sK12(X0))
| sK7(sK10(X1,X0)) = sK14(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(superposition,[],[f80,f188]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ sP1(sK10(X0,X1),X2)
| ~ sP4(X0,X1)
| sK17(sK10(X0,X1),X2) = ordered_pair(sK15(X1,sK17(sK10(X0,X1),X2)),sK16(X1,sK17(sK10(X0,X1),X2))) ),
inference(resolution,[],[f133,f91]) ).
fof(f188,plain,
! [X0,X1] :
( sK12(X1) = ordered_pair(sK19(X1,sK12(X1)),sK20(X1,sK12(X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1))) ),
inference(resolution,[],[f187,f140]) ).
fof(f264,plain,
! [X0,X1] :
( sP3(X1)
| sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1))) ),
inference(resolution,[],[f182,f101]) ).
fof(f268,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1))))
| sK12(X1) = sK11(X1) ),
inference(superposition,[],[f80,f249]) ).
fof(f249,plain,
! [X0,X1] :
( sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK11(X0) = sK12(X0) ),
inference(resolution,[],[f243,f84]) ).
fof(f267,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1))))
| sK13(X1) = sK11(X1) ),
inference(superposition,[],[f80,f248]) ).
fof(f248,plain,
! [X0,X1] :
( sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0)))
| sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK11(X0) = sK13(X0) ),
inference(resolution,[],[f243,f86]) ).
fof(f266,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK12(X0) ),
inference(superposition,[],[f80,f236]) ).
fof(f236,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK12(X1) = sK11(X1) ),
inference(resolution,[],[f226,f84]) ).
fof(f265,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X1,X0)))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(superposition,[],[f80,f235]) ).
fof(f235,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK13(X1) = sK11(X1) ),
inference(resolution,[],[f226,f86]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ in(X2,sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| ~ sP4(X1,X2)
| in(sK7(sK10(X0,sK10(X1,X2))),cartesian_product2(sK5,sK6))
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f253,f81]) ).
fof(f182,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1)))) ),
inference(resolution,[],[f128,f91]) ).
fof(f253,plain,
! [X2,X0,X1] :
( in(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),X2)
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2)
| in(sK7(sK10(X0,sK10(X1,X2))),cartesian_product2(sK5,sK6)) ),
inference(resolution,[],[f160,f92]) ).
fof(f191,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK18(X1,sK13(X1)) = singleton(sK17(X1,sK13(X1))) ),
inference(resolution,[],[f187,f126]) ).
fof(f190,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK20(X1,sK12(X1)) = singleton(sK19(X1,sK12(X1))) ),
inference(resolution,[],[f187,f127]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ sP0(sK10(X0,X1),X2)
| ~ sP4(X0,X1)
| sK16(X1,sK19(sK10(X0,X1),X2)) = singleton(sK15(X1,sK19(sK10(X0,X1),X2))) ),
inference(resolution,[],[f134,f93]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ sP1(sK10(X0,X1),X2)
| ~ sP4(X0,X1)
| sK16(X1,sK17(sK10(X0,X1),X2)) = singleton(sK15(X1,sK17(sK10(X0,X1),X2))) ),
inference(resolution,[],[f133,f93]) ).
fof(f255,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK12(X1) = sK11(X1) ),
inference(superposition,[],[f80,f217]) ).
fof(f217,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK12(X1) = sK11(X1) ),
inference(resolution,[],[f211,f84]) ).
fof(f254,plain,
! [X0,X1] :
( ~ empty(sK7(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK13(X1) = sK11(X1) ),
inference(superposition,[],[f80,f216]) ).
fof(f216,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK13(X1) = sK11(X1) ),
inference(resolution,[],[f211,f86]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sP2(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1)
| in(sK7(sK10(X0,sK10(X1,X2))),cartesian_product2(sK5,sK6))
| ~ sP4(X0,sK10(X1,X2))
| ~ sP4(X1,X2) ),
inference(resolution,[],[f158,f82]) ).
fof(f243,plain,
! [X0,X1] :
( sP3(X1)
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1))))
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1))) ),
inference(resolution,[],[f183,f101]) ).
fof(f183,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1)))) ),
inference(resolution,[],[f128,f93]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ in(X2,sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2))
| ~ in(sK5,sK8(sK10(X0,sK10(X1,X2)))) ),
inference(resolution,[],[f225,f81]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ in(X2,sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2))
| in(sK8(sK10(X0,sK10(X1,X2))),sK5) ),
inference(resolution,[],[f221,f81]) ).
fof(f225,plain,
! [X2,X0,X1] :
( in(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),X2)
| ~ in(sK5,sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f153,f92]) ).
fof(f208,plain,
! [X0,X1] :
( in(sK7(sK10(X1,X0)),cartesian_product2(X0,X1))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK12(X0) ),
inference(superposition,[],[f89,f193]) ).
fof(f207,plain,
! [X0,X1] :
( ~ in(cartesian_product2(X0,X1),sK7(sK10(X1,X0)))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK12(X0) ),
inference(superposition,[],[f138,f193]) ).
fof(f206,plain,
! [X0,X1] :
( in(sK7(sK10(X1,X0)),cartesian_product2(X0,X1))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(superposition,[],[f89,f192]) ).
fof(f205,plain,
! [X0,X1] :
( ~ in(cartesian_product2(X0,X1),sK7(sK10(X1,X0)))
| ~ sP2(X0,sK7(sK10(X1,X0)),X1)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(superposition,[],[f138,f192]) ).
fof(f221,plain,
! [X2,X0,X1] :
( in(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),X2)
| in(sK8(sK10(X0,sK10(X1,X2))),sK5)
| ~ sP4(X1,X2)
| ~ sP4(X0,sK10(X1,X2)) ),
inference(resolution,[],[f151,f92]) ).
fof(f226,plain,
! [X0,X1] :
( sP3(X1)
| sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1))) ),
inference(resolution,[],[f161,f101]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sK7(X2) != ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0))))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK12(X0) ),
inference(superposition,[],[f111,f203]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0)))),cartesian_product2(X2,X3))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),X2)
| sP2(X2,ordered_pair(sK15(X0,sK7(sK10(X1,X0))),singleton(sK15(X0,sK7(sK10(X1,X0))))),X3)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK12(X0) ),
inference(superposition,[],[f114,f203]) ).
fof(f203,plain,
! [X0,X1] :
( sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK12(X0) ),
inference(resolution,[],[f197,f84]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0)))),cartesian_product2(X2,X3))
| ~ in(sK15(X0,sK7(sK10(X1,X0))),X2)
| sP2(X2,ordered_pair(sK15(X0,sK7(sK10(X1,X0))),singleton(sK15(X0,sK7(sK10(X1,X0))))),X3)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(superposition,[],[f114,f202]) ).
fof(f202,plain,
! [X0,X1] :
( sK16(X0,sK7(sK10(X1,X0))) = singleton(sK15(X0,sK7(sK10(X1,X0))))
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0)))
| sK11(X0) = sK13(X0) ),
inference(resolution,[],[f197,f86]) ).
fof(f161,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1)))) ),
inference(resolution,[],[f129,f91]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ sP4(X0,sK10(X1,X2))
| ~ in(sK5,sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2)
| sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))) = ordered_pair(sK15(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2))))),sK16(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))))) ),
inference(resolution,[],[f153,f91]) ).
fof(f153,plain,
! [X2,X0,X1] :
( sP2(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1)
| ~ sP4(X0,sK10(X1,X2))
| ~ in(sK5,sK8(sK10(X0,sK10(X1,X2))))
| ~ sP4(X1,X2) ),
inference(resolution,[],[f147,f82]) ).
fof(f210,plain,
! [X0,X1] :
( ~ in(cartesian_product2(sK5,sK6),sK7(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f155,f81]) ).
fof(f151,plain,
! [X2,X0,X1] :
( sP2(X2,sK15(sK10(X1,X2),sK7(sK10(X0,sK10(X1,X2)))),X1)
| ~ sP4(X0,sK10(X1,X2))
| in(sK8(sK10(X0,sK10(X1,X2))),sK5)
| ~ sP4(X1,X2) ),
inference(resolution,[],[f144,f82]) ).
fof(f211,plain,
! [X0,X1] :
( sP3(X1)
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1))) ),
inference(resolution,[],[f184,f101]) ).
fof(f184,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0) ),
inference(resolution,[],[f128,f90]) ).
fof(f155,plain,
! [X0,X1] :
( in(sK7(sK10(X0,X1)),cartesian_product2(sK5,sK6))
| ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1)))) ),
inference(resolution,[],[f130,f91]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ sP0(sK10(X0,X1),X2)
| ~ sP4(X0,X1)
| sK19(sK10(X0,X1),X2) = sK14(X1,sK19(sK10(X0,X1),X2),X0) ),
inference(resolution,[],[f134,f90]) ).
fof(f193,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK12(X1) = sK11(X1) ),
inference(resolution,[],[f187,f84]) ).
fof(f192,plain,
! [X0,X1] :
( sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK13(X1) = sK11(X1) ),
inference(resolution,[],[f187,f86]) ).
fof(f148,plain,
! [X0,X1] :
( ~ in(sK5,sK8(sK10(X1,X0)))
| ~ sP4(X1,X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0)))) ),
inference(resolution,[],[f91,f131]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ sP1(sK10(X0,X1),X2)
| ~ sP4(X0,X1)
| sK17(sK10(X0,X1),X2) = sK14(X1,sK17(sK10(X0,X1),X2),X0) ),
inference(resolution,[],[f133,f90]) ).
fof(f197,plain,
! [X0,X1] :
( sP3(X1)
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1))))
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1))) ),
inference(resolution,[],[f162,f101]) ).
fof(f162,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1)))) ),
inference(resolution,[],[f129,f93]) ).
fof(f196,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = ordered_pair(sK15(X1,sK7(sK10(X0,X1))),sK16(X1,sK7(sK10(X0,X1))))
| ~ in(sK5,sK8(sK10(X0,X1))) ),
inference(resolution,[],[f149,f81]) ).
fof(f149,plain,
! [X0,X1] :
( in(sK8(sK10(X1,X0)),sK5)
| ~ sP4(X1,X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK15(X0,sK7(sK10(X1,X0))),sK16(X0,sK7(sK10(X1,X0)))) ),
inference(resolution,[],[f91,f132]) ).
fof(f194,plain,
! [X0,X1] :
( ~ in(X1,sK15(X1,sK7(sK10(X0,X1))))
| ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1))) ),
inference(resolution,[],[f185,f81]) ).
fof(f186,plain,
! [X0,X1] :
( ~ in(cartesian_product2(sK5,sK6),sK7(sK10(X0,X1)))
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1))))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f156,f81]) ).
fof(f185,plain,
! [X0,X1] :
( in(sK15(X1,sK7(sK10(X0,X1))),X1)
| sK7(sK10(X0,X1)) = ordered_pair(sK8(sK10(X0,X1)),sK9(sK10(X0,X1)))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f128,f92]) ).
fof(f187,plain,
! [X0,X1] :
( sP3(X1)
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1))) ),
inference(resolution,[],[f163,f101]) ).
fof(f163,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0) ),
inference(resolution,[],[f129,f90]) ).
fof(f156,plain,
! [X0,X1] :
( in(sK7(sK10(X0,X1)),cartesian_product2(sK5,sK6))
| ~ sP4(X0,X1)
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1)))) ),
inference(resolution,[],[f130,f93]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X3,sK10(X0,X1),X2)
| ~ sP2(X1,sK10(X2,X3),X0)
| ~ sP4(X0,X1)
| ~ sP4(X2,X3) ),
inference(resolution,[],[f136,f83]) ).
fof(f181,plain,
! [X0,X1] :
( ~ in(cartesian_product2(sK5,sK6),sK7(sK10(X0,X1)))
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f157,f81]) ).
fof(f128,plain,
! [X0,X1] :
( sP2(X0,sK7(sK10(X1,X0)),X1)
| ~ sP4(X1,X0)
| sK7(sK10(X1,X0)) = ordered_pair(sK8(sK10(X1,X0)),sK9(sK10(X1,X0))) ),
inference(resolution,[],[f82,f70]) ).
fof(f145,plain,
! [X0,X1] :
( ~ in(sK5,sK8(sK10(X0,X1)))
| ~ sP4(X0,X1)
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1)))) ),
inference(resolution,[],[f131,f93]) ).
fof(f157,plain,
! [X0,X1] :
( in(sK7(sK10(X0,X1)),cartesian_product2(sK5,sK6))
| ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0) ),
inference(resolution,[],[f130,f90]) ).
fof(f180,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1))))
| ~ in(sK5,sK8(sK10(X0,X1))) ),
inference(resolution,[],[f142,f81]) ).
fof(f142,plain,
! [X0,X1] :
( in(sK8(sK10(X0,X1)),sK5)
| ~ sP4(X0,X1)
| sK16(X1,sK7(sK10(X0,X1))) = singleton(sK15(X1,sK7(sK10(X0,X1)))) ),
inference(resolution,[],[f132,f93]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ in(X1,sK15(X1,sK19(sK10(X0,X1),X2)))
| ~ sP4(X0,X1)
| ~ sP0(sK10(X0,X1),X2) ),
inference(resolution,[],[f172,f81]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ in(X1,sK15(X1,sK17(sK10(X0,X1),X2)))
| ~ sP4(X0,X1)
| ~ sP1(sK10(X0,X1),X2) ),
inference(resolution,[],[f168,f81]) ).
fof(f172,plain,
! [X2,X0,X1] :
( in(sK15(X1,sK19(sK10(X0,X1),X2)),X1)
| ~ sP0(sK10(X0,X1),X2)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f134,f92]) ).
fof(f168,plain,
! [X2,X0,X1] :
( in(sK15(X1,sK17(sK10(X0,X1),X2)),X1)
| ~ sP1(sK10(X0,X1),X2)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f133,f92]) ).
fof(f174,plain,
! [X0,X1] :
( ~ in(X1,sK15(X1,sK7(sK10(X0,X1))))
| ~ sP4(X0,X1)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1))) ),
inference(resolution,[],[f164,f81]) ).
fof(f146,plain,
! [X0,X1] :
( ~ in(sK5,sK8(sK10(X0,X1)))
| ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0) ),
inference(resolution,[],[f131,f90]) ).
fof(f114,plain,
! [X2,X0,X4] :
( ~ in(ordered_pair(X4,singleton(X4)),cartesian_product2(X0,X2))
| ~ in(X4,X0)
| sP2(X0,ordered_pair(X4,singleton(X4)),X2) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,plain,
! [X2,X3,X0,X4] :
( sP2(X0,ordered_pair(X4,singleton(X4)),X2)
| ~ in(X4,X0)
| ordered_pair(X4,singleton(X4)) != X3
| ~ in(X3,cartesian_product2(X0,X2)) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,X2)
| ~ in(X4,X0)
| ordered_pair(X4,singleton(X4)) != X1
| X1 != X3
| ~ in(X3,cartesian_product2(X0,X2)) ),
inference(equality_resolution,[],[f94]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP2(X0,X1,X2)
| singleton(X4) != X5
| ~ in(X4,X0)
| ordered_pair(X4,X5) != X1
| X1 != X3
| ~ in(X3,cartesian_product2(X0,X2)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ! [X3] :
( ! [X4,X5] :
( singleton(X4) != X5
| ~ in(X4,X0)
| ordered_pair(X4,X5) != X1 )
| X1 != X3
| ~ in(X3,cartesian_product2(X0,X2)) ) )
& ( ( sK16(X0,X1) = singleton(sK15(X0,X1))
& in(sK15(X0,X1),X0)
& ordered_pair(sK15(X0,X1),sK16(X0,X1)) = X1
& sK14(X0,X1,X2) = X1
& in(sK14(X0,X1,X2),cartesian_product2(X0,X2)) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f49,f51,f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ? [X6] :
( ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X1 )
& X1 = X6
& in(X6,cartesian_product2(X0,X2)) )
=> ( ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X1 )
& sK14(X0,X1,X2) = X1
& in(sK14(X0,X1,X2),cartesian_product2(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X1 )
=> ( sK16(X0,X1) = singleton(sK15(X0,X1))
& in(sK15(X0,X1),X0)
& ordered_pair(sK15(X0,X1),sK16(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ! [X3] :
( ! [X4,X5] :
( singleton(X4) != X5
| ~ in(X4,X0)
| ordered_pair(X4,X5) != X1 )
| X1 != X3
| ~ in(X3,cartesian_product2(X0,X2)) ) )
& ( ? [X6] :
( ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X1 )
& X1 = X6
& in(X6,cartesian_product2(X0,X2)) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X0,X10,X1] :
( ( sP2(X0,X10,X1)
| ! [X11] :
( ! [X12,X13] :
( singleton(X12) != X13
| ~ in(X12,X0)
| ordered_pair(X12,X13) != X10 )
| X10 != X11
| ~ in(X11,cartesian_product2(X0,X1)) ) )
& ( ? [X11] :
( ? [X12,X13] :
( singleton(X12) = X13
& in(X12,X0)
& ordered_pair(X12,X13) = X10 )
& X10 = X11
& in(X11,cartesian_product2(X0,X1)) )
| ~ sP2(X0,X10,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X10,X1] :
( sP2(X0,X10,X1)
<=> ? [X11] :
( ? [X12,X13] :
( singleton(X12) = X13
& in(X12,X0)
& ordered_pair(X12,X13) = X10 )
& X10 = X11
& in(X11,cartesian_product2(X0,X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f164,plain,
! [X0,X1] :
( in(sK15(X1,sK7(sK10(X0,X1))),X1)
| sK9(sK10(X0,X1)) = singleton(sK8(sK10(X0,X1)))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f129,f92]) ).
fof(f173,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0)
| ~ in(sK5,sK8(sK10(X0,X1))) ),
inference(resolution,[],[f143,f81]) ).
fof(f143,plain,
! [X0,X1] :
( in(sK8(sK10(X0,X1)),sK5)
| ~ sP4(X0,X1)
| sK7(sK10(X0,X1)) = sK14(X1,sK7(sK10(X0,X1)),X0) ),
inference(resolution,[],[f132,f90]) ).
fof(f134,plain,
! [X2,X0,X1] :
( sP2(X0,sK19(sK10(X1,X0),X2),X1)
| ~ sP4(X1,X0)
| ~ sP0(sK10(X1,X0),X2) ),
inference(resolution,[],[f82,f99]) ).
fof(f133,plain,
! [X2,X0,X1] :
( sP2(X0,sK17(sK10(X1,X0),X2),X1)
| ~ sP4(X1,X0)
| ~ sP1(sK10(X1,X0),X2) ),
inference(resolution,[],[f82,f96]) ).
fof(f129,plain,
! [X0,X1] :
( sP2(X0,sK7(sK10(X1,X0)),X1)
| ~ sP4(X1,X0)
| sK9(sK10(X1,X0)) = singleton(sK8(sK10(X1,X0))) ),
inference(resolution,[],[f82,f72]) ).
fof(f159,plain,
! [X0,X1] :
( ~ in(X1,sK15(X1,sK7(sK10(X0,X1))))
| in(sK7(sK10(X0,X1)),cartesian_product2(sK5,sK6))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f158,f81]) ).
fof(f158,plain,
! [X0,X1] :
( in(sK15(X1,sK7(sK10(X0,X1))),X1)
| ~ sP4(X0,X1)
| in(sK7(sK10(X0,X1)),cartesian_product2(sK5,sK6)) ),
inference(resolution,[],[f130,f92]) ).
fof(f140,plain,
! [X0] :
( ~ sP3(X0)
| sK12(X0) = ordered_pair(sK19(X0,sK12(X0)),sK20(X0,sK12(X0))) ),
inference(resolution,[],[f98,f85]) ).
fof(f139,plain,
! [X0] :
( ~ sP3(X0)
| sK13(X0) = ordered_pair(sK17(X0,sK13(X0)),sK18(X0,sK13(X0))) ),
inference(resolution,[],[f95,f87]) ).
fof(f154,plain,
! [X0,X1] :
( ~ in(cartesian_product2(sK5,sK6),sK7(sK10(X1,X0)))
| ~ sP4(X1,X0)
| sP2(X0,sK7(sK10(X1,X0)),X1) ),
inference(resolution,[],[f130,f81]) ).
fof(f130,plain,
! [X0,X1] :
( in(sK7(sK10(X1,X0)),cartesian_product2(sK5,sK6))
| sP2(X0,sK7(sK10(X1,X0)),X1)
| ~ sP4(X1,X0) ),
inference(resolution,[],[f82,f69]) ).
fof(f111,plain,
! [X2,X4] :
( sK7(X2) != ordered_pair(X4,singleton(X4))
| ~ in(X4,sK5)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2) ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X4,X5] :
( singleton(X4) != X5
| ~ in(X4,sK5)
| ordered_pair(X4,X5) != sK7(X2)
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X2] :
( ( ! [X4,X5] :
( singleton(X4) != X5
| ~ in(X4,sK5)
| ordered_pair(X4,X5) != sK7(X2) )
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2) )
& ( ( sK9(X2) = singleton(sK8(X2))
& in(sK8(X2),sK5)
& sK7(X2) = ordered_pair(sK8(X2),sK9(X2))
& in(sK7(X2),cartesian_product2(sK5,sK6)) )
| in(sK7(X2),X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9])],[f35,f38,f37,f36]) ).
fof(f36,plain,
( ? [X0,X1] :
! [X2] :
? [X3] :
( ( ! [X4,X5] :
( singleton(X4) != X5
| ~ in(X4,X0)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,cartesian_product2(X0,X1))
| ~ in(X3,X2) )
& ( ( ? [X6,X7] :
( singleton(X6) = X7
& in(X6,X0)
& ordered_pair(X6,X7) = X3 )
& in(X3,cartesian_product2(X0,X1)) )
| in(X3,X2) ) )
=> ! [X2] :
? [X3] :
( ( ! [X5,X4] :
( singleton(X4) != X5
| ~ in(X4,sK5)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,cartesian_product2(sK5,sK6))
| ~ in(X3,X2) )
& ( ( ? [X7,X6] :
( singleton(X6) = X7
& in(X6,sK5)
& ordered_pair(X6,X7) = X3 )
& in(X3,cartesian_product2(sK5,sK6)) )
| in(X3,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X2] :
( ? [X3] :
( ( ! [X5,X4] :
( singleton(X4) != X5
| ~ in(X4,sK5)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,cartesian_product2(sK5,sK6))
| ~ in(X3,X2) )
& ( ( ? [X7,X6] :
( singleton(X6) = X7
& in(X6,sK5)
& ordered_pair(X6,X7) = X3 )
& in(X3,cartesian_product2(sK5,sK6)) )
| in(X3,X2) ) )
=> ( ( ! [X5,X4] :
( singleton(X4) != X5
| ~ in(X4,sK5)
| ordered_pair(X4,X5) != sK7(X2) )
| ~ in(sK7(X2),cartesian_product2(sK5,sK6))
| ~ in(sK7(X2),X2) )
& ( ( ? [X7,X6] :
( singleton(X6) = X7
& in(X6,sK5)
& ordered_pair(X6,X7) = sK7(X2) )
& in(sK7(X2),cartesian_product2(sK5,sK6)) )
| in(sK7(X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X2] :
( ? [X7,X6] :
( singleton(X6) = X7
& in(X6,sK5)
& ordered_pair(X6,X7) = sK7(X2) )
=> ( sK9(X2) = singleton(sK8(X2))
& in(sK8(X2),sK5)
& sK7(X2) = ordered_pair(sK8(X2),sK9(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1] :
! [X2] :
? [X3] :
( ( ! [X4,X5] :
( singleton(X4) != X5
| ~ in(X4,X0)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,cartesian_product2(X0,X1))
| ~ in(X3,X2) )
& ( ( ? [X6,X7] :
( singleton(X6) = X7
& in(X6,X0)
& ordered_pair(X6,X7) = X3 )
& in(X3,cartesian_product2(X0,X1)) )
| in(X3,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
? [X0,X1] :
! [X2] :
? [X3] :
( ( ! [X4,X5] :
( singleton(X4) != X5
| ~ in(X4,X0)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,cartesian_product2(X0,X1))
| ~ in(X3,X2) )
& ( ( ? [X4,X5] :
( singleton(X4) = X5
& in(X4,X0)
& ordered_pair(X4,X5) = X3 )
& in(X3,cartesian_product2(X0,X1)) )
| in(X3,X2) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
? [X0,X1] :
! [X2] :
? [X3] :
( ( ! [X4,X5] :
( singleton(X4) != X5
| ~ in(X4,X0)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,cartesian_product2(X0,X1))
| ~ in(X3,X2) )
& ( ( ? [X4,X5] :
( singleton(X4) = X5
& in(X4,X0)
& ordered_pair(X4,X5) = X3 )
& in(X3,cartesian_product2(X0,X1)) )
| in(X3,X2) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
? [X0,X1] :
! [X2] :
? [X3] :
( in(X3,X2)
<~> ( ? [X4,X5] :
( singleton(X4) = X5
& in(X4,X0)
& ordered_pair(X4,X5) = X3 )
& in(X3,cartesian_product2(X0,X1)) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
? [X2] :
! [X3] :
( in(X3,X2)
<=> ( ? [X4,X5] :
( singleton(X4) = X5
& in(X4,X0)
& ordered_pair(X4,X5) = X3 )
& in(X3,cartesian_product2(X0,X1)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
? [X2] :
! [X3] :
( in(X3,X2)
<=> ( ? [X4,X5] :
( singleton(X4) = X5
& in(X4,X0)
& ordered_pair(X4,X5) = X3 )
& in(X3,cartesian_product2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e16_22__wellord2__1) ).
fof(f152,plain,
! [X0,X1] :
( ~ in(X1,sK15(X1,sK7(sK10(X0,X1))))
| ~ sP4(X0,X1)
| ~ in(sK5,sK8(sK10(X0,X1))) ),
inference(resolution,[],[f147,f81]) ).
fof(f150,plain,
! [X0,X1] :
( ~ in(X1,sK15(X1,sK7(sK10(X0,X1))))
| ~ sP4(X0,X1)
| in(sK8(sK10(X0,X1)),sK5) ),
inference(resolution,[],[f144,f81]) ).
fof(f147,plain,
! [X0,X1] :
( in(sK15(X1,sK7(sK10(X0,X1))),X1)
| ~ in(sK5,sK8(sK10(X0,X1)))
| ~ sP4(X0,X1) ),
inference(resolution,[],[f131,f92]) ).
fof(f144,plain,
! [X0,X1] :
( in(sK15(X1,sK7(sK10(X0,X1))),X1)
| in(sK8(sK10(X0,X1)),sK5)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f132,f92]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| ordered_pair(sK15(X0,X1),sK16(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f131,plain,
! [X0,X1] :
( sP2(X0,sK7(sK10(X1,X0)),X1)
| ~ sP4(X1,X0)
| ~ in(sK5,sK8(sK10(X1,X0))) ),
inference(resolution,[],[f82,f115]) ).
fof(f132,plain,
! [X0,X1] :
( sP2(X0,sK7(sK10(X1,X0)),X1)
| ~ sP4(X1,X0)
| in(sK8(sK10(X1,X0)),sK5) ),
inference(resolution,[],[f82,f71]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ in(cartesian_product2(X0,X2),sK14(X0,X1,X2))
| ~ sP2(X0,X1,X2) ),
inference(resolution,[],[f89,f81]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ in(sK10(X2,X0),X1)
| ~ sP4(X2,X0)
| ~ sP2(X0,X1,X2) ),
inference(resolution,[],[f83,f81]) ).
fof(f127,plain,
! [X0] :
( ~ sP3(X0)
| sK20(X0,sK12(X0)) = singleton(sK19(X0,sK12(X0))) ),
inference(resolution,[],[f100,f85]) ).
fof(f126,plain,
! [X0] :
( ~ sP3(X0)
| sK18(X0,sK13(X0)) = singleton(sK17(X0,sK13(X0))) ),
inference(resolution,[],[f97,f87]) ).
fof(f98,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ordered_pair(sK19(X0,X1),sK20(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( sK20(X0,X1) = singleton(sK19(X0,X1))
& in(sK19(X0,X1),X0)
& ordered_pair(sK19(X0,X1),sK20(X0,X1)) = X1 )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f58,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X2,X3] :
( singleton(X2) = X3
& in(X2,X0)
& ordered_pair(X2,X3) = X1 )
=> ( sK20(X0,X1) = singleton(sK19(X0,X1))
& in(sK19(X0,X1),X0)
& ordered_pair(sK19(X0,X1),sK20(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2,X3] :
( singleton(X2) = X3
& in(X2,X0)
& ordered_pair(X2,X3) = X1 )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X0,X3] :
( ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X3 )
| ~ sP0(X0,X3) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X3] :
( ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X3 )
| ~ sP0(X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f95,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ordered_pair(sK17(X0,X1),sK18(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( sK18(X0,X1) = singleton(sK17(X0,X1))
& in(sK17(X0,X1),X0)
& ordered_pair(sK17(X0,X1),sK18(X0,X1)) = X1 )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f54,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X2,X3] :
( singleton(X2) = X3
& in(X2,X0)
& ordered_pair(X2,X3) = X1 )
=> ( sK18(X0,X1) = singleton(sK17(X0,X1))
& in(sK17(X0,X1),X0)
& ordered_pair(sK17(X0,X1),sK18(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2,X3] :
( singleton(X2) = X3
& in(X2,X0)
& ordered_pair(X2,X3) = X1 )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0,X4] :
( ? [X5,X6] :
( singleton(X5) = X6
& in(X5,X0)
& ordered_pair(X5,X6) = X4 )
| ~ sP1(X0,X4) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X4] :
( ? [X5,X6] :
( singleton(X5) = X6
& in(X5,X0)
& ordered_pair(X5,X6) = X4 )
| ~ sP1(X0,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| sK16(X0,X1) = singleton(sK15(X0,X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f89,plain,
! [X2,X0,X1] :
( in(sK14(X0,X1,X2),cartesian_product2(X0,X2))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f83,plain,
! [X3,X0,X1] :
( in(X3,sK10(X0,X1))
| ~ sP2(X1,X3,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK10(X0,X1))
| ~ sP2(X1,X3,X0) )
& ( sP2(X1,X3,X0)
| ~ in(X3,sK10(X0,X1)) ) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f41,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ sP2(X1,X3,X0) )
& ( sP2(X1,X3,X0)
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK10(X0,X1))
| ~ sP2(X1,X3,X0) )
& ( sP2(X1,X3,X0)
| ~ in(X3,sK10(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ sP2(X1,X3,X0) )
& ( sP2(X1,X3,X0)
| ~ in(X3,X2) ) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ? [X9] :
! [X10] :
( ( in(X10,X9)
| ~ sP2(X0,X10,X1) )
& ( sP2(X0,X10,X1)
| ~ in(X10,X9) ) )
| ~ sP4(X1,X0) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ? [X9] :
! [X10] :
( in(X10,X9)
<=> sP2(X0,X10,X1) )
| ~ sP4(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f82,plain,
! [X3,X0,X1] :
( ~ in(X3,sK10(X0,X1))
| sP2(X1,X3,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f100,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK20(X0,X1) = singleton(sK19(X0,X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f97,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK18(X0,X1) = singleton(sK17(X0,X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| sK14(X0,X1,X2) = X1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f125,plain,
! [X0] :
( ~ in(X0,sK7(X0))
| sK7(X0) = ordered_pair(sK8(X0),sK9(X0)) ),
inference(resolution,[],[f70,f81]) ).
fof(f70,plain,
! [X2] :
( in(sK7(X2),X2)
| sK7(X2) = ordered_pair(sK8(X2),sK9(X2)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f124,plain,
! [X0,X1] :
( ~ in(X0,sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f99,f81]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| in(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f123,plain,
! [X0,X1] :
( ~ in(X0,sK17(X0,X1))
| ~ sP1(X0,X1) ),
inference(resolution,[],[f96,f81]) ).
fof(f99,plain,
! [X0,X1] :
( in(sK19(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f96,plain,
! [X0,X1] :
( in(sK17(X0,X1),X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f122,plain,
! [X0] :
( ~ in(X0,sK7(X0))
| sK9(X0) = singleton(sK8(X0)) ),
inference(resolution,[],[f72,f81]) ).
fof(f119,plain,
! [X0] :
( ~ in(X0,sK7(X0))
| in(sK7(X0),cartesian_product2(sK5,sK6)) ),
inference(resolution,[],[f69,f81]) ).
fof(f118,plain,
! [X0] :
( ~ in(cartesian_product2(sK5,sK6),sK7(X0))
| in(sK7(X0),X0) ),
inference(resolution,[],[f69,f81]) ).
fof(f72,plain,
! [X2] :
( in(sK7(X2),X2)
| sK9(X2) = singleton(sK8(X2)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f121,plain,
~ in(cartesian_product2(sK5,sK6),sK7(cartesian_product2(sK5,sK6))),
inference(resolution,[],[f120,f81]) ).
fof(f120,plain,
in(sK7(cartesian_product2(sK5,sK6)),cartesian_product2(sK5,sK6)),
inference(factoring,[],[f69]) ).
fof(f69,plain,
! [X2] :
( in(sK7(X2),cartesian_product2(sK5,sK6))
| in(sK7(X2),X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f88,plain,
! [X0] :
( sK12(X0) != sK13(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( sK12(X0) != sK13(X0)
& sP1(X0,sK13(X0))
& sK11(X0) = sK13(X0)
& sP0(X0,sK12(X0))
& sK11(X0) = sK12(X0) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f45,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& sP1(X0,X3)
& X1 = X3
& sP0(X0,X2)
& X1 = X2 )
=> ( sK12(X0) != sK13(X0)
& sP1(X0,sK13(X0))
& sK11(X0) = sK13(X0)
& sP0(X0,sK12(X0))
& sK11(X0) = sK12(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& sP1(X0,X3)
& X1 = X3
& sP0(X0,X2)
& X1 = X2 )
| ~ sP3(X0) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ? [X2,X3,X4] :
( X3 != X4
& sP1(X0,X4)
& X2 = X4
& sP0(X0,X3)
& X2 = X3 )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ? [X2,X3,X4] :
( X3 != X4
& sP1(X0,X4)
& X2 = X4
& sP0(X0,X3)
& X2 = X3 )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f86,plain,
! [X0] :
( ~ sP3(X0)
| sK11(X0) = sK13(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f84,plain,
! [X0] :
( ~ sP3(X0)
| sK11(X0) = sK12(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f117,plain,
! [X0] :
( ~ in(sK5,sK8(X0))
| ~ in(X0,sK7(X0)) ),
inference(resolution,[],[f115,f81]) ).
fof(f116,plain,
! [X0] :
( ~ in(X0,sK7(X0))
| in(sK8(X0),sK5) ),
inference(resolution,[],[f71,f81]) ).
fof(f115,plain,
! [X0] :
( in(sK7(X0),X0)
| ~ in(sK5,sK8(X0)) ),
inference(resolution,[],[f71,f81]) ).
fof(f71,plain,
! [X2] :
( in(sK8(X2),sK5)
| in(sK7(X2),X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f87,plain,
! [X0] :
( sP1(X0,sK13(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f85,plain,
! [X0] :
( sP0(X0,sK12(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f81,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f101,plain,
! [X0,X1] :
( sP4(X1,X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( sP4(X1,X0)
| sP3(X0) ),
inference(definition_folding,[],[f26,f31,f30,f29,f28,f27]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X9] :
! [X10] :
( in(X10,X9)
<=> ? [X11] :
( ? [X12,X13] :
( singleton(X12) = X13
& in(X12,X0)
& ordered_pair(X12,X13) = X10 )
& X10 = X11
& in(X11,cartesian_product2(X0,X1)) ) )
| ? [X2,X3,X4] :
( X3 != X4
& ? [X5,X6] :
( singleton(X5) = X6
& in(X5,X0)
& ordered_pair(X5,X6) = X4 )
& X2 = X4
& ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X3 )
& X2 = X3 ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X9] :
! [X10] :
( in(X10,X9)
<=> ? [X11] :
( ? [X12,X13] :
( singleton(X12) = X13
& in(X12,X0)
& ordered_pair(X12,X13) = X10 )
& X10 = X11
& in(X11,cartesian_product2(X0,X1)) ) )
| ? [X2,X3,X4] :
( X3 != X4
& ? [X5,X6] :
( singleton(X5) = X6
& in(X5,X0)
& ordered_pair(X5,X6) = X4 )
& X2 = X4
& ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X3 )
& X2 = X3 ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ! [X2,X3,X4] :
( ( ? [X5,X6] :
( singleton(X5) = X6
& in(X5,X0)
& ordered_pair(X5,X6) = X4 )
& X2 = X4
& ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X3 )
& X2 = X3 )
=> X3 = X4 )
=> ? [X9] :
! [X10] :
( in(X10,X9)
<=> ? [X11] :
( ? [X12,X13] :
( singleton(X12) = X13
& in(X12,X0)
& ordered_pair(X12,X13) = X10 )
& X10 = X11
& in(X11,cartesian_product2(X0,X1)) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ! [X2,X3,X4] :
( ( ? [X7,X8] :
( singleton(X7) = X8
& in(X7,X0)
& ordered_pair(X7,X8) = X4 )
& X2 = X4
& ? [X5,X6] :
( singleton(X5) = X6
& in(X5,X0)
& ordered_pair(X5,X6) = X3 )
& X2 = X3 )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( ? [X9,X10] :
( singleton(X9) = X10
& in(X9,X0)
& ordered_pair(X9,X10) = X3 )
& X3 = X4
& in(X4,cartesian_product2(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e16_22__wellord2__2) ).
fof(f80,plain,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(f104,plain,
~ empty(sK23),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ordinal(sK23)
& epsilon_connected(sK23)
& epsilon_transitive(sK23)
& ~ empty(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f6,f65]) ).
fof(f65,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) )
=> ( ordinal(sK23)
& epsilon_connected(sK23)
& epsilon_transitive(sK23)
& ~ empty(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f6,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_ordinal1) ).
fof(f103,plain,
empty(sK22),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
empty(sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f9,f63]) ).
fof(f63,plain,
( ? [X0] : empty(X0)
=> empty(sK22) ),
introduced(choice_axiom,[]) ).
fof(f9,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f102,plain,
~ empty(sK21),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
~ empty(sK21),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f10,f61]) ).
fof(f61,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK21) ),
introduced(choice_axiom,[]) ).
fof(f10,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f518,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f516,plain,
( spl25_4
<=> sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
fof(f946,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f945,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f944,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f250,f670,f340,f685,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f927,f930,f662,f661,f695]) ).
fof(f944,plain,
( ~ in(sK8(sK10(sK6,sK5)),sK5)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7 ),
inference(subsumption_resolution,[],[f901,f513]) ).
fof(f901,plain,
( ~ in(sK8(sK10(sK6,sK5)),sK5)
| ~ sP4(sK6,sK5)
| ~ spl25_4
| ~ spl25_6
| spl25_7 ),
inference(subsumption_resolution,[],[f886,f646]) ).
fof(f886,plain,
( sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ in(sK8(sK10(sK6,sK5)),sK5)
| ~ sP4(sK6,sK5)
| ~ spl25_4
| ~ spl25_6 ),
inference(duplicate_literal_removal,[],[f878]) ).
fof(f878,plain,
( sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ in(sK8(sK10(sK6,sK5)),sK5)
| sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ sP4(sK6,sK5)
| ~ spl25_4
| ~ spl25_6 ),
inference(resolution,[],[f854,f130]) ).
fof(f854,plain,
( ! [X0,X1] :
( ~ in(sK7(sK10(sK6,sK5)),cartesian_product2(X0,X1))
| sP2(X0,sK7(sK10(sK6,sK5)),X1)
| ~ in(sK8(sK10(sK6,sK5)),X0) )
| ~ spl25_4
| ~ spl25_6 ),
inference(forward_demodulation,[],[f853,f549]) ).
fof(f549,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl25_6
<=> sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f853,plain,
( ! [X0,X1] :
( sP2(X0,ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5))),X1)
| ~ in(sK7(sK10(sK6,sK5)),cartesian_product2(X0,X1))
| ~ in(sK8(sK10(sK6,sK5)),X0) )
| ~ spl25_4
| ~ spl25_6 ),
inference(forward_demodulation,[],[f852,f518]) ).
fof(f852,plain,
( ! [X0,X1] :
( ~ in(sK7(sK10(sK6,sK5)),cartesian_product2(X0,X1))
| ~ in(sK8(sK10(sK6,sK5)),X0)
| sP2(X0,ordered_pair(sK8(sK10(sK6,sK5)),singleton(sK8(sK10(sK6,sK5)))),X1) )
| ~ spl25_4
| ~ spl25_6 ),
inference(forward_demodulation,[],[f850,f549]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5))),cartesian_product2(X0,X1))
| ~ in(sK8(sK10(sK6,sK5)),X0)
| sP2(X0,ordered_pair(sK8(sK10(sK6,sK5)),singleton(sK8(sK10(sK6,sK5)))),X1) )
| ~ spl25_4 ),
inference(superposition,[],[f114,f518]) ).
fof(f943,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| spl25_9
| ~ spl25_10 ),
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f942,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| spl25_9
| ~ spl25_10 ),
inference(global_subsumption,[],[f941,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f250,f670,f340,f685,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f927,f930,f662,f661,f695]) ).
fof(f941,plain,
( ~ in(sK8(sK10(sK6,sK5)),sK5)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_10 ),
inference(subsumption_resolution,[],[f905,f834]) ).
fof(f834,plain,
( ~ in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_3
| ~ spl25_6
| spl25_7
| ~ spl25_10 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f297,f706,f707,f549,f735,f304,f743,f744,f764,f316,f809,f646,f770]) ).
fof(f770,plain,
( ~ in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ spl25_6
| ~ spl25_10 ),
inference(equality_resolution,[],[f764]) ).
fof(f764,plain,
( ! [X0] :
( sK7(X0) != sK7(sK10(sK6,sK5))
| ~ in(sK7(X0),X0)
| ~ in(sK7(X0),cartesian_product2(sK5,sK6)) )
| ~ spl25_6
| ~ spl25_10 ),
inference(forward_demodulation,[],[f698,f549]) ).
fof(f698,plain,
( ! [X0] :
( sK7(X0) != ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| ~ in(sK7(X0),X0)
| ~ in(sK7(X0),cartesian_product2(sK5,sK6)) )
| ~ spl25_10 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f697,plain,
( spl25_10
<=> ! [X0] :
( sK7(X0) != ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| ~ in(sK7(X0),X0)
| ~ in(sK7(X0),cartesian_product2(sK5,sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).
fof(f735,plain,
( ~ empty(sK7(sK10(sK6,sK5)))
| ~ spl25_6 ),
inference(superposition,[],[f80,f549]) ).
fof(f905,plain,
( ~ in(sK8(sK10(sK6,sK5)),sK5)
| in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_4
| ~ spl25_6
| spl25_7 ),
inference(subsumption_resolution,[],[f885,f646]) ).
fof(f885,plain,
( sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ in(sK8(sK10(sK6,sK5)),sK5)
| in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_4
| ~ spl25_6 ),
inference(resolution,[],[f854,f69]) ).
fof(f940,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f939,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f887,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f250,f670,f340,f685,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f927,f930,f662,f661,f695]) ).
fof(f887,plain,
( ~ in(sK8(sK10(sK6,sK5)),sK5)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7 ),
inference(subsumption_resolution,[],[f873,f646]) ).
fof(f873,plain,
( sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ in(sK8(sK10(sK6,sK5)),sK5)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7 ),
inference(resolution,[],[f854,f842]) ).
fof(f938,plain,
( ~ spl25_3
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f937,plain,
( $false
| ~ spl25_3
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f250,f670,f340,f685,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f927,f930,f662,f661,f695]) ).
fof(f936,plain,
( ~ spl25_3
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f935,plain,
( $false
| ~ spl25_3
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f250,f670,f340,f685,f695,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f927,f930,f662,f661]) ).
fof(f934,plain,
( ~ spl25_3
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f933]) ).
fof(f933,plain,
( $false
| ~ spl25_3
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f250,f670,f340,f685,f695,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f927,f930,f662]) ).
fof(f932,plain,
( ~ spl25_3
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f931,plain,
( $false
| ~ spl25_3
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f695,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f927,f930]) ).
fof(f929,plain,
( ~ spl25_3
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f928,plain,
( $false
| ~ spl25_3
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f695,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f927]) ).
fof(f926,plain,
( ~ spl25_3
| ~ spl25_6
| spl25_7
| spl25_9
| ~ spl25_10 ),
inference(avatar_contradiction_clause,[],[f925]) ).
fof(f925,plain,
( $false
| ~ spl25_3
| ~ spl25_6
| spl25_7
| spl25_9
| ~ spl25_10 ),
inference(global_subsumption,[],[f846,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f695,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841]) ).
fof(f846,plain,
( ~ in(sK5,sK8(sK10(sK6,sK5)))
| ~ spl25_3
| ~ spl25_6
| spl25_7
| ~ spl25_10 ),
inference(resolution,[],[f834,f115]) ).
fof(f924,plain,
( ~ spl25_3
| ~ spl25_6
| spl25_7
| spl25_9
| ~ spl25_10 ),
inference(avatar_contradiction_clause,[],[f923]) ).
fof(f923,plain,
( $false
| ~ spl25_3
| ~ spl25_6
| spl25_7
| spl25_9
| ~ spl25_10 ),
inference(global_subsumption,[],[f847,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f695,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841]) ).
fof(f847,plain,
( in(sK8(sK10(sK6,sK5)),sK5)
| ~ spl25_3
| ~ spl25_6
| spl25_7
| ~ spl25_10 ),
inference(resolution,[],[f834,f71]) ).
fof(f922,plain,
( ~ spl25_3
| ~ spl25_6
| spl25_7
| spl25_9
| ~ spl25_10 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f921,plain,
( $false
| ~ spl25_3
| ~ spl25_6
| spl25_7
| spl25_9
| ~ spl25_10 ),
inference(global_subsumption,[],[f844,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f695,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841]) ).
fof(f844,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_3
| ~ spl25_6
| spl25_7
| ~ spl25_10 ),
inference(resolution,[],[f834,f72]) ).
fof(f920,plain,
( ~ spl25_3
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f919]) ).
fof(f919,plain,
( $false
| ~ spl25_3
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f695,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841]) ).
fof(f918,plain,
( ~ spl25_3
| ~ spl25_5
| spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f917,plain,
( $false
| ~ spl25_3
| ~ spl25_5
| spl25_7
| spl25_9 ),
inference(global_subsumption,[],[f545,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f695,f703,f705,f297,f706,f707,f732,f739,f733,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841]) ).
fof(f545,plain,
( sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl25_5
<=> sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).
fof(f916,plain,
( ~ spl25_3
| spl25_4
| spl25_7 ),
inference(avatar_contradiction_clause,[],[f915]) ).
fof(f915,plain,
( $false
| ~ spl25_3
| spl25_4
| spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f297,f706,f707,f304,f743,f744,f316,f809,f646,f842,f324,f871,f841,f517]) ).
fof(f517,plain,
( sK9(sK10(sK6,sK5)) != singleton(sK8(sK10(sK6,sK5)))
| spl25_4 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f914,plain,
( ~ spl25_3
| spl25_4
| ~ spl25_5
| spl25_7 ),
inference(avatar_contradiction_clause,[],[f913]) ).
fof(f913,plain,
( $false
| ~ spl25_3
| spl25_4
| ~ spl25_5
| spl25_7 ),
inference(global_subsumption,[],[f545,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f297,f706,f707,f304,f743,f744,f517,f316,f809,f646,f842,f324,f871,f841]) ).
fof(f912,plain,
( ~ spl25_3
| spl25_4
| spl25_7 ),
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f911,plain,
( $false
| ~ spl25_3
| spl25_4
| spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f297,f706,f707,f304,f743,f744,f517,f316,f809,f646,f842,f324,f871,f841]) ).
fof(f910,plain,
( ~ spl25_3
| spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_10 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f909,plain,
( $false
| ~ spl25_3
| spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_10 ),
inference(global_subsumption,[],[f844,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f660,f661,f662,f250,f670,f340,f685,f297,f706,f707,f304,f743,f744,f517,f316,f809,f646,f841,f842,f324,f871]) ).
fof(f908,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9
| ~ spl25_10 ),
inference(avatar_contradiction_clause,[],[f907]) ).
fof(f907,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9
| ~ spl25_10 ),
inference(subsumption_resolution,[],[f906,f834]) ).
fof(f906,plain,
( in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(subsumption_resolution,[],[f905,f694]) ).
fof(f694,plain,
( in(sK8(sK10(sK6,sK5)),sK5)
| ~ spl25_9 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f904,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(avatar_contradiction_clause,[],[f903]) ).
fof(f903,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(subsumption_resolution,[],[f902,f513]) ).
fof(f902,plain,
( ~ sP4(sK6,sK5)
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(subsumption_resolution,[],[f901,f694]) ).
fof(f900,plain,
( ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(avatar_contradiction_clause,[],[f899]) ).
fof(f899,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(subsumption_resolution,[],[f898,f544]) ).
fof(f544,plain,
( sK7(sK10(sK6,sK5)) != sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| spl25_5 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f898,plain,
( sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(subsumption_resolution,[],[f897,f513]) ).
fof(f897,plain,
( ~ sP4(sK6,sK5)
| sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(subsumption_resolution,[],[f896,f694]) ).
fof(f896,plain,
( ~ in(sK8(sK10(sK6,sK5)),sK5)
| ~ sP4(sK6,sK5)
| sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_4
| ~ spl25_6
| spl25_7 ),
inference(subsumption_resolution,[],[f877,f646]) ).
fof(f877,plain,
( sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ in(sK8(sK10(sK6,sK5)),sK5)
| ~ sP4(sK6,sK5)
| sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_4
| ~ spl25_6 ),
inference(resolution,[],[f854,f157]) ).
fof(f889,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f888,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6
| spl25_7
| ~ spl25_9 ),
inference(subsumption_resolution,[],[f887,f694]) ).
fof(f833,plain,
( ~ spl25_3
| spl25_4
| spl25_5
| spl25_7 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f832,plain,
( $false
| ~ spl25_3
| spl25_4
| spl25_5
| spl25_7 ),
inference(global_subsumption,[],[f646,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f250,f670,f340,f685,f297,f706,f707,f304,f743,f744,f517,f316,f809,f544]) ).
fof(f831,plain,
( ~ spl25_3
| spl25_4
| spl25_5 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f830,plain,
( $false
| ~ spl25_3
| spl25_4
| spl25_5 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f325,f642,f250,f670,f340,f685,f297,f706,f707,f304,f743,f744,f517,f316,f809,f544]) ).
fof(f829,plain,
( spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f317,f551,f325,f642,f645,f666,f668,f250,f670,f340,f685,f297,f706,f304,f743,f664,f768,f769,f663,f316,f809,f810,f811,f665,f544]) ).
fof(f665,plain,
( sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_7 ),
inference(resolution,[],[f645,f90]) ).
fof(f811,plain,
( ~ in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_7 ),
inference(equality_resolution,[],[f810]) ).
fof(f810,plain,
( ! [X0] :
( sK7(X0) != sK7(sK10(sK6,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_7 ),
inference(forward_demodulation,[],[f769,f663]) ).
fof(f663,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_7 ),
inference(resolution,[],[f645,f91]) ).
fof(f769,plain,
( ! [X0] :
( sK7(X0) != ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f767,f666]) ).
fof(f767,plain,
( ! [X0] :
( sK7(X0) != ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ in(sK15(sK5,sK7(sK10(sK6,sK5))),sK5)
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_7 ),
inference(superposition,[],[f111,f664]) ).
fof(f768,plain,
( ! [X0,X1] :
( sP2(X0,ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5)))),X1)
| ~ in(ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5)))),cartesian_product2(X0,X1))
| ~ in(sK15(sK5,sK7(sK10(sK6,sK5))),X0) )
| ~ spl25_7 ),
inference(forward_demodulation,[],[f766,f664]) ).
fof(f766,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5)))),cartesian_product2(X0,X1))
| ~ in(sK15(sK5,sK7(sK10(sK6,sK5))),X0)
| sP2(X0,ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),singleton(sK15(sK5,sK7(sK10(sK6,sK5))))),X1) )
| ~ spl25_7 ),
inference(superposition,[],[f114,f664]) ).
fof(f664,plain,
( sK16(sK5,sK7(sK10(sK6,sK5))) = singleton(sK15(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_7 ),
inference(resolution,[],[f645,f93]) ).
fof(f668,plain,
( ~ in(sK5,sK15(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_7 ),
inference(resolution,[],[f666,f81]) ).
fof(f666,plain,
( in(sK15(sK5,sK7(sK10(sK6,sK5))),sK5)
| ~ spl25_7 ),
inference(resolution,[],[f645,f92]) ).
fof(f645,plain,
( sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f827,plain,
( spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f826,plain,
( $false
| spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f544,f317,f551,f325,f642,f645,f666,f668,f250,f670,f340,f685,f297,f706,f304,f743,f664,f768,f769,f663,f316,f809,f810,f811,f665]) ).
fof(f825,plain,
( ~ spl25_3
| spl25_4
| spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f824,plain,
( $false
| ~ spl25_3
| spl25_4
| spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f811,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f544,f317,f551,f513,f597,f598,f600,f325,f642,f250,f670,f340,f685,f297,f706,f707,f304,f743,f744,f517,f316,f809]) ).
fof(f823,plain,
( ~ spl25_3
| ~ spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f822,plain,
( $false
| ~ spl25_3
| ~ spl25_5
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f821,f513]) ).
fof(f821,plain,
( ~ sP4(sK6,sK5)
| ~ spl25_5
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f818,f645]) ).
fof(f818,plain,
( ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ sP4(sK6,sK5)
| ~ spl25_5
| ~ spl25_7 ),
inference(resolution,[],[f812,f83]) ).
fof(f812,plain,
( ~ in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_5
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f811,f669]) ).
fof(f669,plain,
( in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ spl25_5
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f607,f645]) ).
fof(f607,plain,
( in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_5 ),
inference(superposition,[],[f89,f545]) ).
fof(f820,plain,
( spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f814,f517]) ).
fof(f814,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_5
| ~ spl25_7 ),
inference(resolution,[],[f812,f72]) ).
fof(f806,plain,
( ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f479,f482,f504,f505,f506,f507,f508,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f605,f545,f607,f325,f642,f606,f645,f666,f668,f250,f670,f669,f340,f685,f297,f706,f707,f304,f743,f744,f663,f664,f768,f769,f785,f788,f795,f802,f517]) ).
fof(f802,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK11(sK5) = sK12(sK5)
| ~ spl25_2
| ~ spl25_3 ),
inference(subsumption_resolution,[],[f508,f513]) ).
fof(f795,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK20(sK5,sK12(sK5)) = singleton(sK19(sK5,sK12(sK5)))
| ~ spl25_2
| ~ spl25_3 ),
inference(subsumption_resolution,[],[f507,f513]) ).
fof(f788,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK12(sK5) = ordered_pair(sK19(sK5,sK12(sK5)),sK20(sK5,sK12(sK5)))
| ~ spl25_2
| ~ spl25_3 ),
inference(subsumption_resolution,[],[f505,f513]) ).
fof(f785,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_5
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f671,f513]) ).
fof(f671,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ spl25_2
| ~ spl25_5
| ~ spl25_7 ),
inference(resolution,[],[f669,f482]) ).
fof(f606,plain,
( ~ in(cartesian_product2(sK5,sK6),sK7(sK10(sK6,sK5)))
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_5 ),
inference(superposition,[],[f138,f545]) ).
fof(f605,plain,
( sK7(sK10(sK6,sK5)) = sK14(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ spl25_3
| ~ spl25_5 ),
inference(global_subsumption,[],[f600,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f317,f551,f545]) ).
fof(f508,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| sK11(sK5) = sK12(sK5)
| ~ spl25_2 ),
inference(subsumption_resolution,[],[f495,f129]) ).
fof(f495,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK11(sK5) = sK12(sK5)
| ~ spl25_2 ),
inference(duplicate_literal_removal,[],[f491]) ).
fof(f491,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK11(sK5) = sK12(sK5)
| ~ spl25_2 ),
inference(resolution,[],[f482,f208]) ).
fof(f507,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| sK20(sK5,sK12(sK5)) = singleton(sK19(sK5,sK12(sK5)))
| ~ spl25_2 ),
inference(subsumption_resolution,[],[f496,f129]) ).
fof(f496,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK20(sK5,sK12(sK5)) = singleton(sK19(sK5,sK12(sK5)))
| ~ spl25_2 ),
inference(duplicate_literal_removal,[],[f490]) ).
fof(f490,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK20(sK5,sK12(sK5)) = singleton(sK19(sK5,sK12(sK5)))
| ~ spl25_2 ),
inference(resolution,[],[f482,f259]) ).
fof(f506,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| sK18(sK5,sK13(sK5)) = singleton(sK17(sK5,sK13(sK5)))
| ~ spl25_2 ),
inference(subsumption_resolution,[],[f497,f129]) ).
fof(f497,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK18(sK5,sK13(sK5)) = singleton(sK17(sK5,sK13(sK5)))
| ~ spl25_2 ),
inference(duplicate_literal_removal,[],[f489]) ).
fof(f489,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK18(sK5,sK13(sK5)) = singleton(sK17(sK5,sK13(sK5)))
| ~ spl25_2 ),
inference(resolution,[],[f482,f261]) ).
fof(f505,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| sK12(sK5) = ordered_pair(sK19(sK5,sK12(sK5)),sK20(sK5,sK12(sK5)))
| ~ spl25_2 ),
inference(subsumption_resolution,[],[f498,f129]) ).
fof(f498,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK12(sK5) = ordered_pair(sK19(sK5,sK12(sK5)),sK20(sK5,sK12(sK5)))
| ~ spl25_2 ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f488,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK12(sK5) = ordered_pair(sK19(sK5,sK12(sK5)),sK20(sK5,sK12(sK5)))
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_2 ),
inference(resolution,[],[f482,f277]) ).
fof(f504,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| sK13(sK5) = ordered_pair(sK17(sK5,sK13(sK5)),sK18(sK5,sK13(sK5)))
| ~ spl25_2 ),
inference(subsumption_resolution,[],[f499,f129]) ).
fof(f499,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK13(sK5) = ordered_pair(sK17(sK5,sK13(sK5)),sK18(sK5,sK13(sK5)))
| ~ spl25_2 ),
inference(duplicate_literal_removal,[],[f487]) ).
fof(f487,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK13(sK5) = ordered_pair(sK17(sK5,sK13(sK5)),sK18(sK5,sK13(sK5)))
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_2 ),
inference(resolution,[],[f482,f281]) ).
fof(f482,plain,
( ! [X0] :
( ~ in(sK7(sK10(X0,sK5)),cartesian_product2(sK5,sK6))
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5)))
| ~ sP4(X0,sK5) )
| ~ spl25_2 ),
inference(subsumption_resolution,[],[f481,f72]) ).
fof(f481,plain,
( ! [X0] :
( ~ sP4(X0,sK5)
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5)))
| ~ in(sK7(sK10(X0,sK5)),sK10(X0,sK5))
| ~ in(sK7(sK10(X0,sK5)),cartesian_product2(sK5,sK6)) )
| ~ spl25_2 ),
inference(equality_resolution,[],[f479]) ).
fof(f479,plain,
( ! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ sP4(X1,sK5)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| ~ in(sK7(X0),X0)
| ~ in(sK7(X0),cartesian_product2(sK5,sK6)) )
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl25_2
<=> ! [X0,X1] :
( sK7(X0) != sK7(sK10(X1,sK5))
| ~ sP4(X1,sK5)
| sK9(sK10(X1,sK5)) = singleton(sK8(sK10(X1,sK5)))
| ~ in(sK7(X0),X0)
| ~ in(sK7(X0),cartesian_product2(sK5,sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f804,plain,
( ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f803,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f479,f482,f504,f505,f506,f507,f508,f517,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f605,f545,f607,f325,f642,f606,f645,f666,f668,f250,f670,f669,f340,f685,f297,f706,f707,f304,f743,f744,f663,f664,f768,f769,f785,f788,f795,f802]) ).
fof(f801,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f800,plain,
( $false
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f799,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f479,f482,f504,f505,f506,f507,f508,f517,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f605,f545,f607,f325,f642,f606,f645,f666,f668,f250,f670,f669,f340,f685,f297,f706,f707,f304,f743,f744,f663,f664,f768,f769,f785,f788,f795]) ).
fof(f799,plain,
( sK18(sK5,sK11(sK5)) = singleton(sK17(sK5,sK11(sK5)))
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3 ),
inference(forward_demodulation,[],[f798,f476]) ).
fof(f476,plain,
( sK11(sK5) = sK13(sK5)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl25_1
<=> sK11(sK5) = sK13(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f798,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK18(sK5,sK13(sK5)) = singleton(sK17(sK5,sK13(sK5)))
| ~ spl25_2
| ~ spl25_3 ),
inference(subsumption_resolution,[],[f506,f513]) ).
fof(f797,plain,
( ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f479,f482,f504,f505,f506,f507,f508,f517,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f605,f545,f607,f325,f642,f606,f645,f666,f668,f250,f670,f669,f340,f685,f297,f706,f707,f304,f743,f744,f663,f664,f768,f769,f785,f788,f795]) ).
fof(f794,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f793]) ).
fof(f793,plain,
( $false
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f792,f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f479,f482,f504,f505,f506,f507,f508,f517,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f605,f545,f607,f325,f642,f606,f645,f666,f668,f250,f670,f669,f340,f685,f297,f706,f707,f304,f743,f744,f663,f664,f768,f769,f785,f788]) ).
fof(f792,plain,
( sK11(sK5) = ordered_pair(sK17(sK5,sK11(sK5)),sK18(sK5,sK11(sK5)))
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3 ),
inference(forward_demodulation,[],[f791,f476]) ).
fof(f791,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK13(sK5) = ordered_pair(sK17(sK5,sK13(sK5)),sK18(sK5,sK13(sK5)))
| ~ spl25_2
| ~ spl25_3 ),
inference(subsumption_resolution,[],[f504,f513]) ).
fof(f790,plain,
( ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f789,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f479,f482,f504,f505,f506,f507,f508,f517,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f605,f545,f607,f325,f642,f606,f645,f666,f668,f250,f670,f669,f340,f685,f297,f706,f707,f304,f743,f744,f663,f664,f768,f769,f785,f788]) ).
fof(f787,plain,
( ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f786,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f479,f482,f504,f505,f506,f507,f508,f517,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f513,f597,f598,f600,f605,f545,f607,f325,f642,f606,f645,f666,f668,f250,f670,f669,f340,f685,f297,f706,f707,f304,f743,f744,f663,f664,f768,f769,f785]) ).
fof(f784,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_7 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f169,f209,f299,f300,f301,f302,f303,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f479,f482,f504,f505,f506,f507,f508,f517,f341,f529,f530,f531,f532,f534,f535,f533,f317,f551,f476,f568,f567,f566,f565,f564,f563,f562,f561,f559,f590,f589,f513,f597,f598,f600,f325,f642,f645,f666,f668,f250,f670,f596,f595,f677,f678,f675,f676,f594,f683,f340,f685,f592,f687,f593,f690,f297,f706,f707,f591,f723,f304,f743,f744,f663,f664,f768,f769,f782]) ).
fof(f782,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f781,f513]) ).
fof(f781,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ spl25_1
| ~ spl25_2
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f681,f645]) ).
fof(f681,plain,
( ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ spl25_1
| ~ spl25_2 ),
inference(duplicate_literal_removal,[],[f679]) ).
fof(f679,plain,
( ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ spl25_1
| ~ spl25_2 ),
inference(resolution,[],[f676,f482]) ).
fof(f723,plain,
( ! [X0] :
( ~ empty(sK7(sK10(X0,sK5)))
| sK7(sK10(X0,sK5)) = ordered_pair(sK8(sK10(X0,sK5)),sK9(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f80,f591]) ).
fof(f591,plain,
( ! [X0] :
( sK7(sK10(X0,sK5)) = ordered_pair(sK15(sK5,sK7(sK10(X0,sK5))),sK16(sK5,sK7(sK10(X0,sK5))))
| sK7(sK10(X0,sK5)) = ordered_pair(sK8(sK10(X0,sK5)),sK9(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(resolution,[],[f589,f264]) ).
fof(f690,plain,
( ! [X0] :
( ~ empty(sK7(sK10(X0,sK5)))
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f80,f593]) ).
fof(f593,plain,
( ! [X0] :
( sK7(sK10(X0,sK5)) = ordered_pair(sK15(sK5,sK7(sK10(X0,sK5))),sK16(sK5,sK7(sK10(X0,sK5))))
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(resolution,[],[f589,f226]) ).
fof(f687,plain,
( ! [X0] :
( ~ empty(sK7(sK10(X0,sK5)))
| sK16(sK5,sK7(sK10(X0,sK5))) = singleton(sK15(sK5,sK7(sK10(X0,sK5)))) )
| ~ spl25_1 ),
inference(superposition,[],[f80,f592]) ).
fof(f592,plain,
( ! [X0] :
( sK7(sK10(X0,sK5)) = ordered_pair(sK8(sK10(X0,sK5)),sK9(sK10(X0,sK5)))
| sK16(sK5,sK7(sK10(X0,sK5))) = singleton(sK15(sK5,sK7(sK10(X0,sK5)))) )
| ~ spl25_1 ),
inference(resolution,[],[f589,f243]) ).
fof(f683,plain,
( ! [X0] :
( ~ empty(sK7(sK10(X0,sK5)))
| sK7(sK10(X0,sK5)) = sK14(sK5,sK7(sK10(X0,sK5)),X0) )
| ~ spl25_1 ),
inference(superposition,[],[f80,f594]) ).
fof(f594,plain,
( ! [X0] :
( sK7(sK10(X0,sK5)) = ordered_pair(sK8(sK10(X0,sK5)),sK9(sK10(X0,sK5)))
| sK7(sK10(X0,sK5)) = sK14(sK5,sK7(sK10(X0,sK5)),X0) )
| ~ spl25_1 ),
inference(resolution,[],[f589,f211]) ).
fof(f676,plain,
( ! [X0] :
( in(sK7(sK10(X0,sK5)),cartesian_product2(sK5,X0))
| ~ sP2(sK5,sK7(sK10(X0,sK5)),X0)
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f89,f596]) ).
fof(f675,plain,
( ! [X0] :
( ~ in(cartesian_product2(sK5,X0),sK7(sK10(X0,sK5)))
| ~ sP2(sK5,sK7(sK10(X0,sK5)),X0)
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f138,f596]) ).
fof(f678,plain,
( ! [X0,X1] :
( sK7(X1) != ordered_pair(sK15(sK5,sK7(sK10(X0,sK5))),sK16(sK5,sK7(sK10(X0,sK5))))
| ~ in(sK15(sK5,sK7(sK10(X0,sK5))),sK5)
| ~ in(sK7(X1),cartesian_product2(sK5,sK6))
| ~ in(sK7(X1),X1)
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f111,f595]) ).
fof(f677,plain,
( ! [X2,X0,X1] :
( ~ in(ordered_pair(sK15(sK5,sK7(sK10(X0,sK5))),sK16(sK5,sK7(sK10(X0,sK5)))),cartesian_product2(X1,X2))
| ~ in(sK15(sK5,sK7(sK10(X0,sK5))),X1)
| sP2(X1,ordered_pair(sK15(sK5,sK7(sK10(X0,sK5))),singleton(sK15(sK5,sK7(sK10(X0,sK5))))),X2)
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f114,f595]) ).
fof(f595,plain,
( ! [X0] :
( sK16(sK5,sK7(sK10(X0,sK5))) = singleton(sK15(sK5,sK7(sK10(X0,sK5))))
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(resolution,[],[f589,f197]) ).
fof(f596,plain,
( ! [X0] :
( sK7(sK10(X0,sK5)) = sK14(sK5,sK7(sK10(X0,sK5)),X0)
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(resolution,[],[f589,f187]) ).
fof(f589,plain,
( ~ sP3(sK5)
| ~ spl25_1 ),
inference(subsumption_resolution,[],[f560,f84]) ).
fof(f560,plain,
( sK11(sK5) != sK12(sK5)
| ~ sP3(sK5)
| ~ spl25_1 ),
inference(superposition,[],[f88,f476]) ).
fof(f590,plain,
( ~ sP3(sK5)
| ~ spl25_1 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f317,f551,f476,f568,f567,f566,f565,f564,f563,f562,f561,f589,f559]) ).
fof(f559,plain,
( sP1(sK5,sK11(sK5))
| ~ sP3(sK5)
| ~ spl25_1 ),
inference(superposition,[],[f87,f476]) ).
fof(f561,plain,
( ! [X0] :
( sK11(sK5) = ordered_pair(sK17(sK5,sK11(sK5)),sK18(sK5,sK11(sK5)))
| sK7(sK10(X0,sK5)) = sK14(sK5,sK7(sK10(X0,sK5)),X0)
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f189,f476]) ).
fof(f562,plain,
( ! [X0] :
( sK11(sK5) = ordered_pair(sK17(sK5,sK11(sK5)),sK18(sK5,sK11(sK5)))
| sK16(sK5,sK7(sK10(X0,sK5))) = singleton(sK15(sK5,sK7(sK10(X0,sK5))))
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f199,f476]) ).
fof(f563,plain,
( ! [X0] :
( sK11(sK5) = ordered_pair(sK17(sK5,sK11(sK5)),sK18(sK5,sK11(sK5)))
| sK7(sK10(X0,sK5)) = ordered_pair(sK8(sK10(X0,sK5)),sK9(sK10(X0,sK5)))
| sK7(sK10(X0,sK5)) = sK14(sK5,sK7(sK10(X0,sK5)),X0) )
| ~ spl25_1 ),
inference(superposition,[],[f213,f476]) ).
fof(f564,plain,
( ! [X0] :
( sK11(sK5) = ordered_pair(sK17(sK5,sK11(sK5)),sK18(sK5,sK11(sK5)))
| sK7(sK10(X0,sK5)) = ordered_pair(sK8(sK10(X0,sK5)),sK9(sK10(X0,sK5)))
| sK16(sK5,sK7(sK10(X0,sK5))) = singleton(sK15(sK5,sK7(sK10(X0,sK5)))) )
| ~ spl25_1 ),
inference(superposition,[],[f245,f476]) ).
fof(f565,plain,
( ! [X0] :
( ~ empty(sK11(sK5))
| sK7(sK10(X0,sK5)) = sK14(sK5,sK7(sK10(X0,sK5)),X0)
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f279,f476]) ).
fof(f566,plain,
( ! [X0] :
( ~ empty(sK11(sK5))
| sK16(sK5,sK7(sK10(X0,sK5))) = singleton(sK15(sK5,sK7(sK10(X0,sK5))))
| sK9(sK10(X0,sK5)) = singleton(sK8(sK10(X0,sK5))) )
| ~ spl25_1 ),
inference(superposition,[],[f310,f476]) ).
fof(f567,plain,
( ! [X0] :
( ~ empty(sK11(sK5))
| sK7(sK10(X0,sK5)) = ordered_pair(sK8(sK10(X0,sK5)),sK9(sK10(X0,sK5)))
| sK7(sK10(X0,sK5)) = sK14(sK5,sK7(sK10(X0,sK5)),X0) )
| ~ spl25_1 ),
inference(superposition,[],[f346,f476]) ).
fof(f568,plain,
( ! [X0] :
( ~ empty(sK11(sK5))
| sK7(sK10(X0,sK5)) = ordered_pair(sK8(sK10(X0,sK5)),sK9(sK10(X0,sK5)))
| sK16(sK5,sK7(sK10(X0,sK5))) = singleton(sK15(sK5,sK7(sK10(X0,sK5)))) )
| ~ spl25_1 ),
inference(superposition,[],[f373,f476]) ).
fof(f780,plain,
( ~ spl25_3
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_10 ),
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f779,plain,
( $false
| ~ spl25_3
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_10 ),
inference(subsumption_resolution,[],[f778,f513]) ).
fof(f778,plain,
( ~ sP4(sK6,sK5)
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_10 ),
inference(subsumption_resolution,[],[f777,f645]) ).
fof(f777,plain,
( ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| ~ sP4(sK6,sK5)
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_10 ),
inference(resolution,[],[f771,f83]) ).
fof(f771,plain,
( ~ in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_10 ),
inference(subsumption_resolution,[],[f770,f669]) ).
fof(f763,plain,
( ~ spl25_3
| ~ spl25_5
| ~ spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f762,plain,
( $false
| ~ spl25_3
| ~ spl25_5
| ~ spl25_7
| spl25_9 ),
inference(subsumption_resolution,[],[f761,f703]) ).
fof(f761,plain,
( ~ in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_3
| ~ spl25_5
| ~ spl25_7
| spl25_9 ),
inference(subsumption_resolution,[],[f760,f669]) ).
fof(f760,plain,
( ~ in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_3
| ~ spl25_7
| spl25_9 ),
inference(equality_resolution,[],[f759]) ).
fof(f759,plain,
( ! [X0] :
( sK7(X0) != sK7(sK10(sK6,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_3
| ~ spl25_7
| spl25_9 ),
inference(forward_demodulation,[],[f740,f733]) ).
fof(f740,plain,
( ! [X0] :
( sK7(X0) != ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_3
| ~ spl25_7
| spl25_9 ),
inference(subsumption_resolution,[],[f738,f666]) ).
fof(f738,plain,
( ! [X0] :
( sK7(X0) != ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ in(sK15(sK5,sK7(sK10(sK6,sK5))),sK5)
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_3
| spl25_9 ),
inference(superposition,[],[f111,f732]) ).
fof(f729,plain,
( ~ spl25_3
| ~ spl25_5
| spl25_6
| ~ spl25_7
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| ~ spl25_3
| ~ spl25_5
| spl25_6
| ~ spl25_7
| spl25_9 ),
inference(subsumption_resolution,[],[f727,f703]) ).
fof(f727,plain,
( ~ in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_3
| ~ spl25_5
| spl25_6
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f726,f669]) ).
fof(f726,plain,
( ~ in(sK7(sK10(sK6,sK5)),cartesian_product2(sK5,sK6))
| ~ in(sK7(sK10(sK6,sK5)),sK10(sK6,sK5))
| ~ spl25_3
| spl25_6
| ~ spl25_7 ),
inference(equality_resolution,[],[f725]) ).
fof(f725,plain,
( ! [X0] :
( sK7(X0) != sK7(sK10(sK6,sK5))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_3
| spl25_6
| ~ spl25_7 ),
inference(forward_demodulation,[],[f724,f603]) ).
fof(f603,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3
| spl25_6 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f548,f317,f551,f513,f597]) ).
fof(f548,plain,
( sK7(sK10(sK6,sK5)) != ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| spl25_6 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f724,plain,
( ! [X0] :
( sK7(X0) != ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_3
| spl25_6
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f640,f666]) ).
fof(f640,plain,
( ! [X0] :
( sK7(X0) != ordered_pair(sK15(sK5,sK7(sK10(sK6,sK5))),sK16(sK5,sK7(sK10(sK6,sK5))))
| ~ in(sK15(sK5,sK7(sK10(sK6,sK5))),sK5)
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_3
| spl25_6 ),
inference(superposition,[],[f111,f604]) ).
fof(f604,plain,
( sK16(sK5,sK7(sK10(sK6,sK5))) = singleton(sK15(sK5,sK7(sK10(sK6,sK5))))
| ~ spl25_3
| spl25_6 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f341,f529,f530,f531,f532,f534,f535,f533,f548,f317,f551,f513,f597,f603,f598]) ).
fof(f699,plain,
( ~ spl25_9
| spl25_10
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f540,f516,f697,f693]) ).
fof(f540,plain,
( ! [X0] :
( sK7(X0) != ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| ~ in(sK8(sK10(sK6,sK5)),sK5)
| ~ in(sK7(X0),cartesian_product2(sK5,sK6))
| ~ in(sK7(X0),X0) )
| ~ spl25_4 ),
inference(superposition,[],[f111,f518]) ).
fof(f659,plain,
( ~ spl25_3
| spl25_6
| spl25_7 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f658,plain,
( $false
| ~ spl25_3
| spl25_6
| spl25_7 ),
inference(subsumption_resolution,[],[f657,f548]) ).
fof(f657,plain,
( sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| ~ spl25_3
| spl25_7 ),
inference(subsumption_resolution,[],[f652,f513]) ).
fof(f652,plain,
( ~ sP4(sK6,sK5)
| sK7(sK10(sK6,sK5)) = ordered_pair(sK8(sK10(sK6,sK5)),sK9(sK10(sK6,sK5)))
| spl25_7 ),
inference(resolution,[],[f646,f128]) ).
fof(f651,plain,
( ~ spl25_7
| ~ spl25_8
| ~ spl25_5 ),
inference(avatar_split_clause,[],[f606,f543,f648,f644]) ).
fof(f648,plain,
( spl25_8
<=> in(cartesian_product2(sK5,sK6),sK7(sK10(sK6,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
fof(f588,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl25_1
| spl25_3 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f521,f522,f523,f524,f526,f341,f529,f317,f551,f520,f552,f553,f554,f555,f556,f557,f514,f476,f569,f570,f561,f562,f563,f564,f565,f566,f567,f568]) ).
fof(f570,plain,
( sK11(sK5) != sK12(sK5)
| ~ spl25_1
| spl25_3 ),
inference(subsumption_resolution,[],[f560,f520]) ).
fof(f569,plain,
( sP1(sK5,sK11(sK5))
| ~ spl25_1
| spl25_3 ),
inference(subsumption_resolution,[],[f559,f520]) ).
fof(f514,plain,
( ~ sP4(sK6,sK5)
| spl25_3 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f557,plain,
( sK11(sK5) = sK12(sK5)
| spl25_3 ),
inference(resolution,[],[f520,f84]) ).
fof(f556,plain,
( sK11(sK5) = sK13(sK5)
| spl25_3 ),
inference(resolution,[],[f520,f86]) ).
fof(f555,plain,
( sK18(sK5,sK13(sK5)) = singleton(sK17(sK5,sK13(sK5)))
| spl25_3 ),
inference(resolution,[],[f520,f126]) ).
fof(f554,plain,
( sK20(sK5,sK12(sK5)) = singleton(sK19(sK5,sK12(sK5)))
| spl25_3 ),
inference(resolution,[],[f520,f127]) ).
fof(f553,plain,
( sK13(sK5) = ordered_pair(sK17(sK5,sK13(sK5)),sK18(sK5,sK13(sK5)))
| spl25_3 ),
inference(resolution,[],[f520,f139]) ).
fof(f552,plain,
( sK12(sK5) = ordered_pair(sK19(sK5,sK12(sK5)),sK20(sK5,sK12(sK5)))
| spl25_3 ),
inference(resolution,[],[f520,f140]) ).
fof(f520,plain,
( sP3(sK5)
| spl25_3 ),
inference(resolution,[],[f514,f101]) ).
fof(f526,plain,
( sK11(sK5) = sK12(sK5)
| spl25_3 ),
inference(resolution,[],[f520,f84]) ).
fof(f524,plain,
( sK18(sK5,sK13(sK5)) = singleton(sK17(sK5,sK13(sK5)))
| spl25_3 ),
inference(resolution,[],[f520,f126]) ).
fof(f523,plain,
( sK20(sK5,sK12(sK5)) = singleton(sK19(sK5,sK12(sK5)))
| spl25_3 ),
inference(resolution,[],[f520,f127]) ).
fof(f522,plain,
( sK13(sK5) = ordered_pair(sK17(sK5,sK13(sK5)),sK18(sK5,sK13(sK5)))
| spl25_3 ),
inference(resolution,[],[f520,f139]) ).
fof(f521,plain,
( sK12(sK5) = ordered_pair(sK19(sK5,sK12(sK5)),sK20(sK5,sK12(sK5)))
| spl25_3 ),
inference(resolution,[],[f520,f140]) ).
fof(f586,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f585,plain,
( $false
| ~ spl25_1
| spl25_3 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f521,f522,f523,f524,f526,f341,f529,f317,f551,f520,f552,f553,f554,f555,f556,f557,f514,f476,f569,f570,f561,f562,f563,f564,f565,f566,f567]) ).
fof(f584,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f583,plain,
( $false
| ~ spl25_1
| spl25_3 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f521,f522,f523,f524,f526,f341,f529,f317,f551,f520,f552,f553,f554,f555,f556,f557,f514,f476,f569,f570,f561,f562,f563,f564,f565,f566]) ).
fof(f582,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| ~ spl25_1
| spl25_3 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f521,f522,f523,f524,f526,f341,f529,f317,f551,f520,f552,f553,f554,f555,f556,f557,f514,f476,f569,f570,f561,f562,f563,f564,f565]) ).
fof(f580,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f579,plain,
( $false
| ~ spl25_1
| spl25_3 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f521,f522,f523,f524,f526,f341,f529,f317,f551,f520,f552,f553,f554,f555,f556,f557,f514,f476,f569,f570,f561,f562,f563,f564]) ).
fof(f578,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f577,plain,
( $false
| ~ spl25_1
| spl25_3 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f521,f522,f523,f524,f526,f341,f529,f317,f551,f520,f552,f553,f554,f555,f556,f557,f514,f476,f569,f570,f561,f562,f563]) ).
fof(f576,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| ~ spl25_1
| spl25_3 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f521,f522,f523,f524,f526,f341,f529,f317,f551,f520,f552,f553,f554,f555,f556,f557,f514,f476,f569,f570,f561,f562]) ).
fof(f574,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f573,plain,
( $false
| ~ spl25_1
| spl25_3 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f521,f522,f523,f524,f526,f341,f529,f317,f551,f520,f552,f553,f554,f555,f556,f557,f514,f476,f569,f570,f561]) ).
fof(f572,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f571,plain,
( $false
| ~ spl25_1
| spl25_3 ),
inference(global_subsumption,[],[f102,f103,f104,f80,f101,f81,f85,f87,f71,f115,f116,f117,f84,f86,f88,f69,f120,f121,f72,f118,f119,f122,f96,f99,f123,f92,f124,f70,f125,f90,f97,f100,f82,f83,f89,f93,f95,f98,f126,f127,f136,f138,f132,f131,f91,f144,f147,f150,f152,f111,f130,f154,f139,f140,f158,f159,f129,f133,f134,f143,f173,f164,f114,f146,f174,f168,f172,f176,f178,f142,f180,f157,f145,f128,f181,f141,f156,f163,f187,f185,f186,f194,f149,f196,f162,f197,f167,f148,f192,f193,f171,f155,f184,f211,f151,f210,f153,f222,f161,f202,f227,f203,f229,f230,f226,f221,f205,f206,f207,f208,f225,f237,f241,f183,f243,f160,f250,f216,f254,f217,f255,f166,f170,f190,f191,f253,f182,f262,f235,f265,f236,f266,f248,f267,f249,f268,f264,f188,f165,f275,f189,f279,f200,f282,f283,f201,f284,f285,f175,f286,f258,f259,f260,f261,f204,f292,f293,f294,f295,f296,f297,f169,f209,f299,f300,f301,f302,f303,f304,f198,f305,f306,f307,f199,f308,f309,f310,f214,f311,f215,f312,f289,f314,f313,f177,f315,f316,f273,f319,f274,f320,f276,f277,f280,f281,f179,f323,f324,f325,f256,f327,f328,f329,f330,f331,f332,f257,f333,f334,f335,f336,f337,f338,f195,f339,f340,f212,f343,f344,f213,f345,f346,f233,f347,f234,f348,f246,f278,f350,f351,f352,f353,f354,f355,f349,f247,f356,f318,f358,f326,f360,f357,f359,f220,f361,f231,f362,f232,f298,f364,f365,f366,f367,f368,f369,f363,f244,f370,f371,f245,f372,f373,f224,f219,f374,f252,f271,f376,f272,f377,f342,f379,f223,f375,f378,f251,f269,f381,f270,f382,f380,f288,f383,f401,f400,f399,f398,f397,f396,f390,f391,f392,f393,f394,f395,f238,f402,f403,f404,f242,f406,f407,f408,f405,f411,f409,f413,f410,f412,f287,f218,f415,f414,f433,f432,f431,f430,f429,f428,f422,f423,f424,f425,f426,f427,f263,f434,f435,f436,f437,f228,f456,f455,f454,f453,f451,f457,f444,f458,f445,f459,f446,f460,f447,f461,f450,f462,f449,f463,f452,f464,f466,f470,f467,f471,f468,f472,f469,f521,f522,f523,f524,f526,f341,f529,f317,f551,f520,f552,f553,f554,f555,f556,f557,f514,f476,f569,f570]) ).
fof(f550,plain,
( spl25_5
| spl25_6
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f533,f512,f547,f543]) ).
fof(f528,plain,
( spl25_1
| spl25_3 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| spl25_1
| spl25_3 ),
inference(subsumption_resolution,[],[f525,f475]) ).
fof(f475,plain,
( sK11(sK5) != sK13(sK5)
| spl25_1 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f525,plain,
( sK11(sK5) = sK13(sK5)
| spl25_3 ),
inference(resolution,[],[f520,f86]) ).
fof(f519,plain,
( ~ spl25_3
| spl25_4
| spl25_1
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f510,f478,f474,f516,f512]) ).
fof(f510,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| spl25_1
| ~ spl25_2 ),
inference(subsumption_resolution,[],[f509,f129]) ).
fof(f509,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| spl25_1
| ~ spl25_2 ),
inference(subsumption_resolution,[],[f494,f475]) ).
fof(f494,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK11(sK5) = sK13(sK5)
| ~ spl25_2 ),
inference(duplicate_literal_removal,[],[f492]) ).
fof(f492,plain,
( sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| ~ sP4(sK6,sK5)
| ~ sP2(sK5,sK7(sK10(sK6,sK5)),sK6)
| sK9(sK10(sK6,sK5)) = singleton(sK8(sK10(sK6,sK5)))
| sK11(sK5) = sK13(sK5)
| ~ spl25_2 ),
inference(resolution,[],[f482,f206]) ).
fof(f480,plain,
( spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f469,f478,f474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU281+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 11:40:00 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (26633)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36 % (26637)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.36 TRYING [1]
% 0.20/0.36 TRYING [2]
% 0.20/0.36 % (26636)WARNING: value z3 for option sas not known
% 0.20/0.36 % (26634)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.36 % (26638)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)
% 0.20/0.36 % (26639)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)
% 0.20/0.36 % (26636)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)
% 0.20/0.36 % (26640)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)
% 0.20/0.36 TRYING [3]
% 0.20/0.37 % (26635)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 TRYING [4]
% 0.20/0.41 TRYING [5]
% 0.20/0.42 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.44 % (26636)First to succeed.
% 0.20/0.47 % (26636)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26633"
% 0.20/0.47 % (26636)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (26636)------------------------------
% 0.20/0.48 % (26636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.48 % (26636)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (26636)Memory used [KB]: 1727
% 0.20/0.48 % (26636)Time elapsed: 0.108 s
% 0.20/0.48 % (26636)Instructions burned: 200 (million)
% 0.20/0.48 % (26633)Success in time 0.132 s
%------------------------------------------------------------------------------