TSTP Solution File: RNG112+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 : Fri Sep 1 21:59:56 EDT 2023
% Result : Theorem 4.02s 1.00s
% Output : Refutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 436
% Syntax : Number of formulae : 1851 ( 76 unt; 0 def)
% Number of atoms : 5569 (1243 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 6216 (2498 ~;2435 |; 777 &)
% ( 402 <=>; 104 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 372 ( 370 usr; 345 prp; 0-3 aty)
% Number of functors : 55 ( 55 usr; 16 con; 0-4 aty)
% Number of variables : 1425 (;1171 !; 254 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4557,plain,
$false,
inference(avatar_smt_refutation,[],[f432,f437,f442,f447,f448,f453,f458,f463,f468,f473,f478,f483,f488,f493,f498,f503,f508,f513,f518,f527,f532,f537,f542,f547,f552,f557,f562,f567,f573,f578,f583,f588,f593,f598,f603,f609,f616,f626,f640,f645,f650,f655,f660,f665,f670,f678,f683,f688,f696,f701,f706,f711,f717,f720,f727,f733,f739,f745,f756,f761,f791,f796,f840,f843,f853,f856,f901,f906,f911,f916,f921,f926,f931,f936,f941,f946,f989,f994,f999,f1004,f1009,f1014,f1019,f1024,f1067,f1072,f1077,f1082,f1125,f1130,f1135,f1140,f1145,f1188,f1193,f1198,f1203,f1208,f1213,f1218,f1223,f1228,f1235,f1240,f1245,f1250,f1255,f1260,f1265,f1270,f1275,f1280,f1285,f1290,f1295,f1300,f1305,f1310,f1315,f1320,f1325,f1334,f1335,f1340,f1345,f1350,f1351,f1356,f1357,f1362,f1363,f1364,f1373,f1378,f1383,f1388,f1393,f1398,f1403,f1408,f1413,f1418,f1423,f1428,f1433,f1438,f1443,f1486,f1491,f1496,f1501,f1506,f1511,f1516,f1521,f1526,f1574,f1579,f1603,f1608,f1629,f1634,f1639,f1644,f1649,f1654,f1659,f1664,f1669,f1674,f1679,f1684,f1702,f1707,f1712,f1717,f1722,f1727,f1734,f1739,f1744,f1749,f1754,f1761,f1766,f1771,f1776,f1781,f1786,f1791,f1796,f1801,f1806,f1811,f1877,f1882,f1887,f1892,f1897,f1902,f1907,f1912,f1917,f1922,f1927,f2004,f2009,f2014,f2019,f2024,f2029,f2034,f2039,f2044,f2213,f2218,f2219,f2220,f2221,f2222,f2223,f2224,f2225,f2281,f2370,f2375,f2380,f2385,f2390,f2395,f2400,f2405,f2566,f2567,f2576,f2581,f2618,f2627,f2641,f2647,f2652,f2657,f2662,f2667,f2678,f2683,f2696,f2714,f2736,f2741,f2746,f2759,f2769,f2782,f2787,f2792,f2806,f2821,f2846,f2851,f2856,f2861,f3308,f3313,f3318,f3323,f3541,f3546,f3547,f3548,f3549,f3550,f3551,f3552,f3553,f3640,f3655,f3660,f3665,f3670,f3675,f3680,f3685,f3690,f3705,f3710,f3715,f3720,f3725,f3730,f3735,f3740,f4139,f4144,f4149,f4154,f4159,f4199,f4206,f4211,f4216,f4221,f4226,f4231,f4236,f4241,f4246,f4251,f4256,f4273,f4278,f4283,f4288,f4293,f4298,f4303,f4308,f4313,f4318,f4323,f4330,f4335,f4340,f4345,f4350,f4355,f4360,f4365,f4370,f4375,f4380,f4387,f4392,f4397,f4402,f4407,f4412,f4417,f4422,f4427,f4432,f4437,f4455,f4460,f4465,f4470,f4475,f4480,f4485,f4490,f4495,f4500,f4505,f4511,f4520,f4529,f4535,f4541,f4556]) ).
fof(f4556,plain,
( ~ spl58_55
| ~ spl58_59 ),
inference(avatar_contradiction_clause,[],[f4555]) ).
fof(f4555,plain,
( $false
| ~ spl58_55
| ~ spl58_59 ),
inference(subsumption_resolution,[],[f4554,f760]) ).
fof(f760,plain,
( sP1(sK30)
| ~ spl58_59 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f758,plain,
( spl58_59
<=> sP1(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_59])]) ).
fof(f4554,plain,
( ~ sP1(sK30)
| ~ spl58_55 ),
inference(resolution,[],[f4553,f732]) ).
fof(f732,plain,
( sP5(sK30)
| ~ spl58_55 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f730,plain,
( spl58_55
<=> sP5(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_55])]) ).
fof(f4553,plain,
! [X0] :
( ~ sP5(X0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f4552,f247]) ).
fof(f247,plain,
! [X0] :
( aElementOf0(sK16(X0),xI)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( iLess0(sbrdtbr0(sK16(X0)),sbrdtbr0(X0))
& sz00 != sK16(X0)
& aElementOf0(sK16(X0),xI)
& sP0(sK16(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f144,f145]) ).
fof(f145,plain,
! [X0] :
( ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& sz00 != X1
& aElementOf0(X1,xI)
& sP0(X1) )
=> ( iLess0(sbrdtbr0(sK16(X0)),sbrdtbr0(X0))
& sz00 != sK16(X0)
& aElementOf0(sK16(X0),xI)
& sP0(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& sz00 != X1
& aElementOf0(X1,xI)
& sP0(X1) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& sz00 != X1
& aElementOf0(X1,xI)
& sP0(X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f4552,plain,
! [X0] :
( ~ aElementOf0(sK16(X0),xI)
| ~ sP5(X0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f4551,f248]) ).
fof(f248,plain,
! [X0] :
( sz00 != sK16(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f4551,plain,
! [X0] :
( sz00 = sK16(X0)
| ~ aElementOf0(sK16(X0),xI)
| ~ sP5(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f310,f249]) ).
fof(f249,plain,
! [X0] :
( iLess0(sbrdtbr0(sK16(X0)),sbrdtbr0(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f310,plain,
! [X0,X1] :
( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
| sz00 = X1
| ~ aElementOf0(X1,xI)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
| sz00 = X1
| ( ~ aElementOf0(X1,xI)
& ! [X2,X3] :
( sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X3] :
( ! [X4] :
( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3))
| sz00 = X4
| ( ~ aElementOf0(X4,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
| ~ sP5(X3) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X3] :
( ! [X4] :
( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3))
| sz00 = X4
| ( ~ aElementOf0(X4,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
| ~ sP5(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f4541,plain,
( ~ spl58_343
| ~ spl58_7
| ~ spl58_245
| spl58_341 ),
inference(avatar_split_clause,[],[f4536,f4526,f2789,f460,f4538]) ).
fof(f4538,plain,
( spl58_343
<=> aElementOf0(sK36(sK35),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_343])]) ).
fof(f460,plain,
( spl58_7
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_7])]) ).
fof(f2789,plain,
( spl58_245
<=> sK35 = sdtasdt0(xb,sK36(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_245])]) ).
fof(f4526,plain,
( spl58_341
<=> aElementOf0(sK35,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_341])]) ).
fof(f4536,plain,
( ~ aElementOf0(sK36(sK35),xI)
| ~ spl58_7
| ~ spl58_245
| spl58_341 ),
inference(subsumption_resolution,[],[f2810,f4527]) ).
fof(f4527,plain,
( ~ aElementOf0(sK35,xI)
| spl58_341 ),
inference(avatar_component_clause,[],[f4526]) ).
fof(f2810,plain,
( aElementOf0(sK35,xI)
| ~ aElementOf0(sK36(sK35),xI)
| ~ spl58_7
| ~ spl58_245 ),
inference(subsumption_resolution,[],[f2807,f462]) ).
fof(f462,plain,
( aElement0(xb)
| ~ spl58_7 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f2807,plain,
( aElementOf0(sK35,xI)
| ~ aElement0(xb)
| ~ aElementOf0(sK36(sK35),xI)
| ~ spl58_245 ),
inference(superposition,[],[f257,f2791]) ).
fof(f2791,plain,
( sK35 = sdtasdt0(xb,sK36(sK35))
| ~ spl58_245 ),
inference(avatar_component_clause,[],[f2789]) ).
fof(f257,plain,
! [X11,X12] :
( aElementOf0(sdtasdt0(X12,X11),xI)
| ~ aElement0(X12)
| ~ aElementOf0(X11,xI) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ( ( sdtpldt0(sK19(X0),sK20(X0)) = X0
& aElementOf0(sK20(X0),slsdtgt0(xb))
& aElementOf0(sK19(X0),slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xb))
| ! [X6] :
( sdtasdt0(xb,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(xb,sK21(X5)) = X5
& aElement0(sK21(X5)) )
| ~ aElementOf0(X5,slsdtgt0(xb)) ) )
& ! [X8] :
( ( aElementOf0(X8,slsdtgt0(xa))
| ! [X9] :
( sdtasdt0(xa,X9) != X8
| ~ aElement0(X9) ) )
& ( ( sdtasdt0(xa,sK22(X8)) = X8
& aElement0(sK22(X8)) )
| ~ aElementOf0(X8,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X11] :
( ( ! [X12] :
( aElementOf0(sdtasdt0(X12,X11),xI)
| ~ aElement0(X12) )
& ! [X13] :
( aElementOf0(sdtpldt0(X11,X13),xI)
| ~ aElementOf0(X13,xI) ) )
| ~ aElementOf0(X11,xI) )
& aSet0(xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f153,f156,f155,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X3,X4] :
( sdtpldt0(X3,X4) = X0
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( sdtpldt0(sK19(X0),sK20(X0)) = X0
& aElementOf0(sK20(X0),slsdtgt0(xb))
& aElementOf0(sK19(X0),slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X5] :
( ? [X7] :
( sdtasdt0(xb,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(xb,sK21(X5)) = X5
& aElement0(sK21(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X8] :
( ? [X10] :
( sdtasdt0(xa,X10) = X8
& aElement0(X10) )
=> ( sdtasdt0(xa,sK22(X8)) = X8
& aElement0(sK22(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ( ? [X3,X4] :
( sdtpldt0(X3,X4) = X0
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xb))
| ! [X6] :
( sdtasdt0(xb,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(xb,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,slsdtgt0(xb)) ) )
& ! [X8] :
( ( aElementOf0(X8,slsdtgt0(xa))
| ! [X9] :
( sdtasdt0(xa,X9) != X8
| ~ aElement0(X9) ) )
& ( ? [X10] :
( sdtasdt0(xa,X10) = X8
& aElement0(X10) )
| ~ aElementOf0(X8,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X11] :
( ( ! [X12] :
( aElementOf0(sdtasdt0(X12,X11),xI)
| ~ aElement0(X12) )
& ! [X13] :
( aElementOf0(sdtpldt0(X11,X13),xI)
| ~ aElementOf0(X13,xI) ) )
| ~ aElementOf0(X11,xI) )
& aSet0(xI) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ( ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xa))
| ! [X6] :
( sdtasdt0(xa,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) )
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X7] :
( ( ! [X8] :
( aElementOf0(sdtasdt0(X8,X7),xI)
| ~ aElement0(X8) )
& ! [X9] :
( aElementOf0(sdtpldt0(X7,X9),xI)
| ~ aElementOf0(X9,xI) ) )
| ~ aElementOf0(X7,xI) )
& aSet0(xI) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xa))
<=> ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) ) )
& aIdeal0(xI)
& ! [X7] :
( ( ! [X8] :
( aElementOf0(sdtasdt0(X8,X7),xI)
| ~ aElement0(X8) )
& ! [X9] :
( aElementOf0(sdtpldt0(X7,X9),xI)
| ~ aElementOf0(X9,xI) ) )
| ~ aElementOf0(X7,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xa))
<=> ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) ) )
& aIdeal0(xI)
& ! [X7] :
( aElementOf0(X7,xI)
=> ( ! [X8] :
( aElement0(X8)
=> aElementOf0(sdtasdt0(X8,X7),xI) )
& ! [X9] :
( aElementOf0(X9,xI)
=> aElementOf0(sdtpldt0(X7,X9),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) ) )
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',m__2174) ).
fof(f4535,plain,
( ~ spl58_342
| ~ spl58_6
| ~ spl58_240
| spl58_339 ),
inference(avatar_split_clause,[],[f4530,f4517,f2743,f455,f4532]) ).
fof(f4532,plain,
( spl58_342
<=> aElementOf0(sK37(sK34),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_342])]) ).
fof(f455,plain,
( spl58_6
<=> aElement0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_6])]) ).
fof(f2743,plain,
( spl58_240
<=> sK34 = sdtasdt0(xa,sK37(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_240])]) ).
fof(f4517,plain,
( spl58_339
<=> aElementOf0(sK34,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_339])]) ).
fof(f4530,plain,
( ~ aElementOf0(sK37(sK34),xI)
| ~ spl58_6
| ~ spl58_240
| spl58_339 ),
inference(subsumption_resolution,[],[f2763,f4518]) ).
fof(f4518,plain,
( ~ aElementOf0(sK34,xI)
| spl58_339 ),
inference(avatar_component_clause,[],[f4517]) ).
fof(f2763,plain,
( aElementOf0(sK34,xI)
| ~ aElementOf0(sK37(sK34),xI)
| ~ spl58_6
| ~ spl58_240 ),
inference(subsumption_resolution,[],[f2760,f457]) ).
fof(f457,plain,
( aElement0(xa)
| ~ spl58_6 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f2760,plain,
( aElementOf0(sK34,xI)
| ~ aElement0(xa)
| ~ aElementOf0(sK37(sK34),xI)
| ~ spl58_240 ),
inference(superposition,[],[f257,f2745]) ).
fof(f2745,plain,
( sK34 = sdtasdt0(xa,sK37(sK34))
| ~ spl58_240 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f4529,plain,
( ~ spl58_340
| spl58_341
| ~ spl58_7
| ~ spl58_235 ),
inference(avatar_split_clause,[],[f2723,f2680,f460,f4526,f4522]) ).
fof(f4522,plain,
( spl58_340
<=> aElementOf0(sK21(sK35),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_340])]) ).
fof(f2680,plain,
( spl58_235
<=> sK35 = sdtasdt0(xb,sK21(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_235])]) ).
fof(f2723,plain,
( aElementOf0(sK35,xI)
| ~ aElementOf0(sK21(sK35),xI)
| ~ spl58_7
| ~ spl58_235 ),
inference(subsumption_resolution,[],[f2720,f462]) ).
fof(f2720,plain,
( aElementOf0(sK35,xI)
| ~ aElement0(xb)
| ~ aElementOf0(sK21(sK35),xI)
| ~ spl58_235 ),
inference(superposition,[],[f257,f2682]) ).
fof(f2682,plain,
( sK35 = sdtasdt0(xb,sK21(sK35))
| ~ spl58_235 ),
inference(avatar_component_clause,[],[f2680]) ).
fof(f4520,plain,
( ~ spl58_338
| spl58_339
| ~ spl58_6
| ~ spl58_232 ),
inference(avatar_split_clause,[],[f2700,f2659,f455,f4517,f4513]) ).
fof(f4513,plain,
( spl58_338
<=> aElementOf0(sK22(sK34),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_338])]) ).
fof(f2659,plain,
( spl58_232
<=> sK34 = sdtasdt0(xa,sK22(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_232])]) ).
fof(f2700,plain,
( aElementOf0(sK34,xI)
| ~ aElementOf0(sK22(sK34),xI)
| ~ spl58_6
| ~ spl58_232 ),
inference(subsumption_resolution,[],[f2697,f457]) ).
fof(f2697,plain,
( aElementOf0(sK34,xI)
| ~ aElement0(xa)
| ~ aElementOf0(sK22(sK34),xI)
| ~ spl58_232 ),
inference(superposition,[],[f257,f2661]) ).
fof(f2661,plain,
( sK34 = sdtasdt0(xa,sK22(sK34))
| ~ spl58_232 ),
inference(avatar_component_clause,[],[f2659]) ).
fof(f4511,plain,
( spl58_337
| ~ spl58_221 ),
inference(avatar_split_clause,[],[f2668,f2563,f4508]) ).
fof(f4508,plain,
( spl58_337
<=> sz00 = sdtpldt0(sK19(sz00),sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_337])]) ).
fof(f2563,plain,
( spl58_221
<=> aElementOf0(sz00,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_221])]) ).
fof(f2668,plain,
( sz00 = sdtpldt0(sK19(sz00),sK20(sz00))
| ~ spl58_221 ),
inference(resolution,[],[f267,f2565]) ).
fof(f2565,plain,
( aElementOf0(sz00,xI)
| ~ spl58_221 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f267,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sdtpldt0(sK19(X0),sK20(X0)) = X0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f4505,plain,
( spl58_336
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f2319,f850,f4502]) ).
fof(f4502,plain,
( spl58_336
<=> smndt0(sK35) = sdtasdt0(sK35,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_336])]) ).
fof(f850,plain,
( spl58_65
<=> aElement0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_65])]) ).
fof(f2319,plain,
( smndt0(sK35) = sdtasdt0(sK35,smndt0(sz10))
| ~ spl58_65 ),
inference(resolution,[],[f342,f852]) ).
fof(f852,plain,
( aElement0(sK35)
| ~ spl58_65 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f342,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mMulMnOne) ).
fof(f4500,plain,
( spl58_335
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f2318,f837,f4497]) ).
fof(f4497,plain,
( spl58_335
<=> smndt0(sK34) = sdtasdt0(sK34,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_335])]) ).
fof(f837,plain,
( spl58_63
<=> aElement0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_63])]) ).
fof(f2318,plain,
( smndt0(sK34) = sdtasdt0(sK34,smndt0(sz10))
| ~ spl58_63 ),
inference(resolution,[],[f342,f839]) ).
fof(f839,plain,
( aElement0(sK34)
| ~ spl58_63 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f4495,plain,
( spl58_334
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f2317,f788,f4492]) ).
fof(f4492,plain,
( spl58_334
<=> smndt0(sK33) = sdtasdt0(sK33,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_334])]) ).
fof(f788,plain,
( spl58_60
<=> aElement0(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_60])]) ).
fof(f2317,plain,
( smndt0(sK33) = sdtasdt0(sK33,smndt0(sz10))
| ~ spl58_60 ),
inference(resolution,[],[f342,f790]) ).
fof(f790,plain,
( aElement0(sK33)
| ~ spl58_60 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f4490,plain,
( spl58_333
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f2316,f793,f4487]) ).
fof(f4487,plain,
( spl58_333
<=> smndt0(sK30) = sdtasdt0(sK30,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_333])]) ).
fof(f793,plain,
( spl58_61
<=> aElement0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_61])]) ).
fof(f2316,plain,
( smndt0(sK30) = sdtasdt0(sK30,smndt0(sz10))
| ~ spl58_61 ),
inference(resolution,[],[f342,f795]) ).
fof(f795,plain,
( aElement0(sK30)
| ~ spl58_61 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f4485,plain,
( spl58_332
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f2262,f850,f4482]) ).
fof(f4482,plain,
( spl58_332
<=> smndt0(sK35) = sdtasdt0(smndt0(sz10),sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_332])]) ).
fof(f2262,plain,
( smndt0(sK35) = sdtasdt0(smndt0(sz10),sK35)
| ~ spl58_65 ),
inference(resolution,[],[f341,f852]) ).
fof(f341,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f4480,plain,
( spl58_331
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f2261,f837,f4477]) ).
fof(f4477,plain,
( spl58_331
<=> smndt0(sK34) = sdtasdt0(smndt0(sz10),sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_331])]) ).
fof(f2261,plain,
( smndt0(sK34) = sdtasdt0(smndt0(sz10),sK34)
| ~ spl58_63 ),
inference(resolution,[],[f341,f839]) ).
fof(f4475,plain,
( spl58_330
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f2260,f788,f4472]) ).
fof(f4472,plain,
( spl58_330
<=> smndt0(sK33) = sdtasdt0(smndt0(sz10),sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_330])]) ).
fof(f2260,plain,
( smndt0(sK33) = sdtasdt0(smndt0(sz10),sK33)
| ~ spl58_60 ),
inference(resolution,[],[f341,f790]) ).
fof(f4470,plain,
( spl58_329
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f2259,f793,f4467]) ).
fof(f4467,plain,
( spl58_329
<=> smndt0(sK30) = sdtasdt0(smndt0(sz10),sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_329])]) ).
fof(f2259,plain,
( smndt0(sK30) = sdtasdt0(smndt0(sz10),sK30)
| ~ spl58_61 ),
inference(resolution,[],[f341,f795]) ).
fof(f4465,plain,
( spl58_328
| ~ spl58_49 ),
inference(avatar_split_clause,[],[f1183,f685,f4462]) ).
fof(f4462,plain,
( spl58_328
<=> sK37(sK34) = sdtasdt0(sz10,sK37(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_328])]) ).
fof(f685,plain,
( spl58_49
<=> aElement0(sK37(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_49])]) ).
fof(f1183,plain,
( sK37(sK34) = sdtasdt0(sz10,sK37(sK34))
| ~ spl58_49 ),
inference(resolution,[],[f338,f687]) ).
fof(f687,plain,
( aElement0(sK37(sK34))
| ~ spl58_49 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f338,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mMulUnit) ).
fof(f4460,plain,
( spl58_327
| ~ spl58_48 ),
inference(avatar_split_clause,[],[f1180,f680,f4457]) ).
fof(f4457,plain,
( spl58_327
<=> sK37(xa) = sdtasdt0(sz10,sK37(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_327])]) ).
fof(f680,plain,
( spl58_48
<=> aElement0(sK37(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_48])]) ).
fof(f1180,plain,
( sK37(xa) = sdtasdt0(sz10,sK37(xa))
| ~ spl58_48 ),
inference(resolution,[],[f338,f682]) ).
fof(f682,plain,
( aElement0(sK37(xa))
| ~ spl58_48 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f4455,plain,
( spl58_326
| ~ spl58_47 ),
inference(avatar_split_clause,[],[f1179,f675,f4452]) ).
fof(f4452,plain,
( spl58_326
<=> sK37(sz00) = sdtasdt0(sz10,sK37(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_326])]) ).
fof(f675,plain,
( spl58_47
<=> aElement0(sK37(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_47])]) ).
fof(f1179,plain,
( sK37(sz00) = sdtasdt0(sz10,sK37(sz00))
| ~ spl58_47 ),
inference(resolution,[],[f338,f677]) ).
fof(f677,plain,
( aElement0(sK37(sz00))
| ~ spl58_47 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f4437,plain,
( spl58_325
| ~ spl58_52 ),
inference(avatar_split_clause,[],[f1178,f703,f4434]) ).
fof(f4434,plain,
( spl58_325
<=> sK36(sK35) = sdtasdt0(sz10,sK36(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_325])]) ).
fof(f703,plain,
( spl58_52
<=> aElement0(sK36(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_52])]) ).
fof(f1178,plain,
( sK36(sK35) = sdtasdt0(sz10,sK36(sK35))
| ~ spl58_52 ),
inference(resolution,[],[f338,f705]) ).
fof(f705,plain,
( aElement0(sK36(sK35))
| ~ spl58_52 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f4432,plain,
( spl58_324
| ~ spl58_51 ),
inference(avatar_split_clause,[],[f1175,f698,f4429]) ).
fof(f4429,plain,
( spl58_324
<=> sK36(xb) = sdtasdt0(sz10,sK36(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_324])]) ).
fof(f698,plain,
( spl58_51
<=> aElement0(sK36(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_51])]) ).
fof(f1175,plain,
( sK36(xb) = sdtasdt0(sz10,sK36(xb))
| ~ spl58_51 ),
inference(resolution,[],[f338,f700]) ).
fof(f700,plain,
( aElement0(sK36(xb))
| ~ spl58_51 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f4427,plain,
( spl58_323
| ~ spl58_50 ),
inference(avatar_split_clause,[],[f1174,f693,f4424]) ).
fof(f4424,plain,
( spl58_323
<=> sK36(sz00) = sdtasdt0(sz10,sK36(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_323])]) ).
fof(f693,plain,
( spl58_50
<=> aElement0(sK36(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_50])]) ).
fof(f1174,plain,
( sK36(sz00) = sdtasdt0(sz10,sK36(sz00))
| ~ spl58_50 ),
inference(resolution,[],[f338,f695]) ).
fof(f695,plain,
( aElement0(sK36(sz00))
| ~ spl58_50 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f4422,plain,
( spl58_322
| ~ spl58_42 ),
inference(avatar_split_clause,[],[f1162,f647,f4419]) ).
fof(f4419,plain,
( spl58_322
<=> sK22(sK34) = sdtasdt0(sz10,sK22(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_322])]) ).
fof(f647,plain,
( spl58_42
<=> aElement0(sK22(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_42])]) ).
fof(f1162,plain,
( sK22(sK34) = sdtasdt0(sz10,sK22(sK34))
| ~ spl58_42 ),
inference(resolution,[],[f338,f649]) ).
fof(f649,plain,
( aElement0(sK22(sK34))
| ~ spl58_42 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f4417,plain,
( spl58_321
| ~ spl58_41 ),
inference(avatar_split_clause,[],[f1159,f642,f4414]) ).
fof(f4414,plain,
( spl58_321
<=> sK22(xa) = sdtasdt0(sz10,sK22(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_321])]) ).
fof(f642,plain,
( spl58_41
<=> aElement0(sK22(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_41])]) ).
fof(f1159,plain,
( sK22(xa) = sdtasdt0(sz10,sK22(xa))
| ~ spl58_41 ),
inference(resolution,[],[f338,f644]) ).
fof(f644,plain,
( aElement0(sK22(xa))
| ~ spl58_41 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f4412,plain,
( spl58_320
| ~ spl58_40 ),
inference(avatar_split_clause,[],[f1158,f637,f4409]) ).
fof(f4409,plain,
( spl58_320
<=> sK22(sz00) = sdtasdt0(sz10,sK22(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_320])]) ).
fof(f637,plain,
( spl58_40
<=> aElement0(sK22(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_40])]) ).
fof(f1158,plain,
( sK22(sz00) = sdtasdt0(sz10,sK22(sz00))
| ~ spl58_40 ),
inference(resolution,[],[f338,f639]) ).
fof(f639,plain,
( aElement0(sK22(sz00))
| ~ spl58_40 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f4407,plain,
( spl58_319
| ~ spl58_45 ),
inference(avatar_split_clause,[],[f1157,f662,f4404]) ).
fof(f4404,plain,
( spl58_319
<=> sK21(sK35) = sdtasdt0(sz10,sK21(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_319])]) ).
fof(f662,plain,
( spl58_45
<=> aElement0(sK21(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_45])]) ).
fof(f1157,plain,
( sK21(sK35) = sdtasdt0(sz10,sK21(sK35))
| ~ spl58_45 ),
inference(resolution,[],[f338,f664]) ).
fof(f664,plain,
( aElement0(sK21(sK35))
| ~ spl58_45 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f4402,plain,
( spl58_318
| ~ spl58_44 ),
inference(avatar_split_clause,[],[f1154,f657,f4399]) ).
fof(f4399,plain,
( spl58_318
<=> sK21(xb) = sdtasdt0(sz10,sK21(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_318])]) ).
fof(f657,plain,
( spl58_44
<=> aElement0(sK21(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_44])]) ).
fof(f1154,plain,
( sK21(xb) = sdtasdt0(sz10,sK21(xb))
| ~ spl58_44 ),
inference(resolution,[],[f338,f659]) ).
fof(f659,plain,
( aElement0(sK21(xb))
| ~ spl58_44 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f4397,plain,
( spl58_317
| ~ spl58_43 ),
inference(avatar_split_clause,[],[f1153,f652,f4394]) ).
fof(f4394,plain,
( spl58_317
<=> sK21(sz00) = sdtasdt0(sz10,sK21(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_317])]) ).
fof(f652,plain,
( spl58_43
<=> aElement0(sK21(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_43])]) ).
fof(f1153,plain,
( sK21(sz00) = sdtasdt0(sz10,sK21(sz00))
| ~ spl58_43 ),
inference(resolution,[],[f338,f654]) ).
fof(f654,plain,
( aElement0(sK21(sz00))
| ~ spl58_43 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f4392,plain,
( spl58_316
| ~ spl58_49 ),
inference(avatar_split_clause,[],[f1120,f685,f4389]) ).
fof(f4389,plain,
( spl58_316
<=> sK37(sK34) = sdtasdt0(sK37(sK34),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_316])]) ).
fof(f1120,plain,
( sK37(sK34) = sdtasdt0(sK37(sK34),sz10)
| ~ spl58_49 ),
inference(resolution,[],[f337,f687]) ).
fof(f337,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f73]) ).
fof(f4387,plain,
( spl58_315
| ~ spl58_48 ),
inference(avatar_split_clause,[],[f1117,f680,f4384]) ).
fof(f4384,plain,
( spl58_315
<=> sK37(xa) = sdtasdt0(sK37(xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_315])]) ).
fof(f1117,plain,
( sK37(xa) = sdtasdt0(sK37(xa),sz10)
| ~ spl58_48 ),
inference(resolution,[],[f337,f682]) ).
fof(f4380,plain,
( spl58_314
| ~ spl58_47 ),
inference(avatar_split_clause,[],[f1116,f675,f4377]) ).
fof(f4377,plain,
( spl58_314
<=> sK37(sz00) = sdtasdt0(sK37(sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_314])]) ).
fof(f1116,plain,
( sK37(sz00) = sdtasdt0(sK37(sz00),sz10)
| ~ spl58_47 ),
inference(resolution,[],[f337,f677]) ).
fof(f4375,plain,
( spl58_313
| ~ spl58_52 ),
inference(avatar_split_clause,[],[f1115,f703,f4372]) ).
fof(f4372,plain,
( spl58_313
<=> sK36(sK35) = sdtasdt0(sK36(sK35),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_313])]) ).
fof(f1115,plain,
( sK36(sK35) = sdtasdt0(sK36(sK35),sz10)
| ~ spl58_52 ),
inference(resolution,[],[f337,f705]) ).
fof(f4370,plain,
( spl58_312
| ~ spl58_51 ),
inference(avatar_split_clause,[],[f1112,f698,f4367]) ).
fof(f4367,plain,
( spl58_312
<=> sK36(xb) = sdtasdt0(sK36(xb),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_312])]) ).
fof(f1112,plain,
( sK36(xb) = sdtasdt0(sK36(xb),sz10)
| ~ spl58_51 ),
inference(resolution,[],[f337,f700]) ).
fof(f4365,plain,
( spl58_311
| ~ spl58_50 ),
inference(avatar_split_clause,[],[f1111,f693,f4362]) ).
fof(f4362,plain,
( spl58_311
<=> sK36(sz00) = sdtasdt0(sK36(sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_311])]) ).
fof(f1111,plain,
( sK36(sz00) = sdtasdt0(sK36(sz00),sz10)
| ~ spl58_50 ),
inference(resolution,[],[f337,f695]) ).
fof(f4360,plain,
( spl58_310
| ~ spl58_42 ),
inference(avatar_split_clause,[],[f1099,f647,f4357]) ).
fof(f4357,plain,
( spl58_310
<=> sK22(sK34) = sdtasdt0(sK22(sK34),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_310])]) ).
fof(f1099,plain,
( sK22(sK34) = sdtasdt0(sK22(sK34),sz10)
| ~ spl58_42 ),
inference(resolution,[],[f337,f649]) ).
fof(f4355,plain,
( spl58_309
| ~ spl58_41 ),
inference(avatar_split_clause,[],[f1096,f642,f4352]) ).
fof(f4352,plain,
( spl58_309
<=> sK22(xa) = sdtasdt0(sK22(xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_309])]) ).
fof(f1096,plain,
( sK22(xa) = sdtasdt0(sK22(xa),sz10)
| ~ spl58_41 ),
inference(resolution,[],[f337,f644]) ).
fof(f4350,plain,
( spl58_308
| ~ spl58_40 ),
inference(avatar_split_clause,[],[f1095,f637,f4347]) ).
fof(f4347,plain,
( spl58_308
<=> sK22(sz00) = sdtasdt0(sK22(sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_308])]) ).
fof(f1095,plain,
( sK22(sz00) = sdtasdt0(sK22(sz00),sz10)
| ~ spl58_40 ),
inference(resolution,[],[f337,f639]) ).
fof(f4345,plain,
( spl58_307
| ~ spl58_45 ),
inference(avatar_split_clause,[],[f1094,f662,f4342]) ).
fof(f4342,plain,
( spl58_307
<=> sK21(sK35) = sdtasdt0(sK21(sK35),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_307])]) ).
fof(f1094,plain,
( sK21(sK35) = sdtasdt0(sK21(sK35),sz10)
| ~ spl58_45 ),
inference(resolution,[],[f337,f664]) ).
fof(f4340,plain,
( spl58_306
| ~ spl58_44 ),
inference(avatar_split_clause,[],[f1091,f657,f4337]) ).
fof(f4337,plain,
( spl58_306
<=> sK21(xb) = sdtasdt0(sK21(xb),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_306])]) ).
fof(f1091,plain,
( sK21(xb) = sdtasdt0(sK21(xb),sz10)
| ~ spl58_44 ),
inference(resolution,[],[f337,f659]) ).
fof(f4335,plain,
( spl58_305
| ~ spl58_43 ),
inference(avatar_split_clause,[],[f1090,f652,f4332]) ).
fof(f4332,plain,
( spl58_305
<=> sK21(sz00) = sdtasdt0(sK21(sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_305])]) ).
fof(f1090,plain,
( sK21(sz00) = sdtasdt0(sK21(sz00),sz10)
| ~ spl58_43 ),
inference(resolution,[],[f337,f654]) ).
fof(f4330,plain,
( spl58_304
| ~ spl58_49 ),
inference(avatar_split_clause,[],[f1062,f685,f4327]) ).
fof(f4327,plain,
( spl58_304
<=> sK37(sK34) = sdtpldt0(sz00,sK37(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_304])]) ).
fof(f1062,plain,
( sK37(sK34) = sdtpldt0(sz00,sK37(sK34))
| ~ spl58_49 ),
inference(resolution,[],[f336,f687]) ).
fof(f336,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mAddZero) ).
fof(f4323,plain,
( spl58_303
| ~ spl58_48 ),
inference(avatar_split_clause,[],[f1059,f680,f4320]) ).
fof(f4320,plain,
( spl58_303
<=> sK37(xa) = sdtpldt0(sz00,sK37(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_303])]) ).
fof(f1059,plain,
( sK37(xa) = sdtpldt0(sz00,sK37(xa))
| ~ spl58_48 ),
inference(resolution,[],[f336,f682]) ).
fof(f4318,plain,
( spl58_302
| ~ spl58_47 ),
inference(avatar_split_clause,[],[f1058,f675,f4315]) ).
fof(f4315,plain,
( spl58_302
<=> sK37(sz00) = sdtpldt0(sz00,sK37(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_302])]) ).
fof(f1058,plain,
( sK37(sz00) = sdtpldt0(sz00,sK37(sz00))
| ~ spl58_47 ),
inference(resolution,[],[f336,f677]) ).
fof(f4313,plain,
( spl58_301
| ~ spl58_52 ),
inference(avatar_split_clause,[],[f1057,f703,f4310]) ).
fof(f4310,plain,
( spl58_301
<=> sK36(sK35) = sdtpldt0(sz00,sK36(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_301])]) ).
fof(f1057,plain,
( sK36(sK35) = sdtpldt0(sz00,sK36(sK35))
| ~ spl58_52 ),
inference(resolution,[],[f336,f705]) ).
fof(f4308,plain,
( spl58_300
| ~ spl58_51 ),
inference(avatar_split_clause,[],[f1054,f698,f4305]) ).
fof(f4305,plain,
( spl58_300
<=> sK36(xb) = sdtpldt0(sz00,sK36(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_300])]) ).
fof(f1054,plain,
( sK36(xb) = sdtpldt0(sz00,sK36(xb))
| ~ spl58_51 ),
inference(resolution,[],[f336,f700]) ).
fof(f4303,plain,
( spl58_299
| ~ spl58_50 ),
inference(avatar_split_clause,[],[f1053,f693,f4300]) ).
fof(f4300,plain,
( spl58_299
<=> sK36(sz00) = sdtpldt0(sz00,sK36(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_299])]) ).
fof(f1053,plain,
( sK36(sz00) = sdtpldt0(sz00,sK36(sz00))
| ~ spl58_50 ),
inference(resolution,[],[f336,f695]) ).
fof(f4298,plain,
( spl58_298
| ~ spl58_42 ),
inference(avatar_split_clause,[],[f1041,f647,f4295]) ).
fof(f4295,plain,
( spl58_298
<=> sK22(sK34) = sdtpldt0(sz00,sK22(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_298])]) ).
fof(f1041,plain,
( sK22(sK34) = sdtpldt0(sz00,sK22(sK34))
| ~ spl58_42 ),
inference(resolution,[],[f336,f649]) ).
fof(f4293,plain,
( spl58_297
| ~ spl58_41 ),
inference(avatar_split_clause,[],[f1038,f642,f4290]) ).
fof(f4290,plain,
( spl58_297
<=> sK22(xa) = sdtpldt0(sz00,sK22(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_297])]) ).
fof(f1038,plain,
( sK22(xa) = sdtpldt0(sz00,sK22(xa))
| ~ spl58_41 ),
inference(resolution,[],[f336,f644]) ).
fof(f4288,plain,
( spl58_296
| ~ spl58_40 ),
inference(avatar_split_clause,[],[f1037,f637,f4285]) ).
fof(f4285,plain,
( spl58_296
<=> sK22(sz00) = sdtpldt0(sz00,sK22(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_296])]) ).
fof(f1037,plain,
( sK22(sz00) = sdtpldt0(sz00,sK22(sz00))
| ~ spl58_40 ),
inference(resolution,[],[f336,f639]) ).
fof(f4283,plain,
( spl58_295
| ~ spl58_45 ),
inference(avatar_split_clause,[],[f1036,f662,f4280]) ).
fof(f4280,plain,
( spl58_295
<=> sK21(sK35) = sdtpldt0(sz00,sK21(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_295])]) ).
fof(f1036,plain,
( sK21(sK35) = sdtpldt0(sz00,sK21(sK35))
| ~ spl58_45 ),
inference(resolution,[],[f336,f664]) ).
fof(f4278,plain,
( spl58_294
| ~ spl58_44 ),
inference(avatar_split_clause,[],[f1033,f657,f4275]) ).
fof(f4275,plain,
( spl58_294
<=> sK21(xb) = sdtpldt0(sz00,sK21(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_294])]) ).
fof(f1033,plain,
( sK21(xb) = sdtpldt0(sz00,sK21(xb))
| ~ spl58_44 ),
inference(resolution,[],[f336,f659]) ).
fof(f4273,plain,
( spl58_293
| ~ spl58_43 ),
inference(avatar_split_clause,[],[f1032,f652,f4270]) ).
fof(f4270,plain,
( spl58_293
<=> sK21(sz00) = sdtpldt0(sz00,sK21(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_293])]) ).
fof(f1032,plain,
( sK21(sz00) = sdtpldt0(sz00,sK21(sz00))
| ~ spl58_43 ),
inference(resolution,[],[f336,f654]) ).
fof(f4256,plain,
( spl58_292
| ~ spl58_49 ),
inference(avatar_split_clause,[],[f984,f685,f4253]) ).
fof(f4253,plain,
( spl58_292
<=> sK37(sK34) = sdtpldt0(sK37(sK34),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_292])]) ).
fof(f984,plain,
( sK37(sK34) = sdtpldt0(sK37(sK34),sz00)
| ~ spl58_49 ),
inference(resolution,[],[f335,f687]) ).
fof(f335,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f4251,plain,
( spl58_291
| ~ spl58_48 ),
inference(avatar_split_clause,[],[f981,f680,f4248]) ).
fof(f4248,plain,
( spl58_291
<=> sK37(xa) = sdtpldt0(sK37(xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_291])]) ).
fof(f981,plain,
( sK37(xa) = sdtpldt0(sK37(xa),sz00)
| ~ spl58_48 ),
inference(resolution,[],[f335,f682]) ).
fof(f4246,plain,
( spl58_290
| ~ spl58_47 ),
inference(avatar_split_clause,[],[f980,f675,f4243]) ).
fof(f4243,plain,
( spl58_290
<=> sK37(sz00) = sdtpldt0(sK37(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_290])]) ).
fof(f980,plain,
( sK37(sz00) = sdtpldt0(sK37(sz00),sz00)
| ~ spl58_47 ),
inference(resolution,[],[f335,f677]) ).
fof(f4241,plain,
( spl58_289
| ~ spl58_52 ),
inference(avatar_split_clause,[],[f979,f703,f4238]) ).
fof(f4238,plain,
( spl58_289
<=> sK36(sK35) = sdtpldt0(sK36(sK35),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_289])]) ).
fof(f979,plain,
( sK36(sK35) = sdtpldt0(sK36(sK35),sz00)
| ~ spl58_52 ),
inference(resolution,[],[f335,f705]) ).
fof(f4236,plain,
( spl58_288
| ~ spl58_51 ),
inference(avatar_split_clause,[],[f976,f698,f4233]) ).
fof(f4233,plain,
( spl58_288
<=> sK36(xb) = sdtpldt0(sK36(xb),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_288])]) ).
fof(f976,plain,
( sK36(xb) = sdtpldt0(sK36(xb),sz00)
| ~ spl58_51 ),
inference(resolution,[],[f335,f700]) ).
fof(f4231,plain,
( spl58_287
| ~ spl58_50 ),
inference(avatar_split_clause,[],[f975,f693,f4228]) ).
fof(f4228,plain,
( spl58_287
<=> sK36(sz00) = sdtpldt0(sK36(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_287])]) ).
fof(f975,plain,
( sK36(sz00) = sdtpldt0(sK36(sz00),sz00)
| ~ spl58_50 ),
inference(resolution,[],[f335,f695]) ).
fof(f4226,plain,
( spl58_286
| ~ spl58_42 ),
inference(avatar_split_clause,[],[f963,f647,f4223]) ).
fof(f4223,plain,
( spl58_286
<=> sK22(sK34) = sdtpldt0(sK22(sK34),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_286])]) ).
fof(f963,plain,
( sK22(sK34) = sdtpldt0(sK22(sK34),sz00)
| ~ spl58_42 ),
inference(resolution,[],[f335,f649]) ).
fof(f4221,plain,
( spl58_285
| ~ spl58_41 ),
inference(avatar_split_clause,[],[f960,f642,f4218]) ).
fof(f4218,plain,
( spl58_285
<=> sK22(xa) = sdtpldt0(sK22(xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_285])]) ).
fof(f960,plain,
( sK22(xa) = sdtpldt0(sK22(xa),sz00)
| ~ spl58_41 ),
inference(resolution,[],[f335,f644]) ).
fof(f4216,plain,
( spl58_284
| ~ spl58_40 ),
inference(avatar_split_clause,[],[f959,f637,f4213]) ).
fof(f4213,plain,
( spl58_284
<=> sK22(sz00) = sdtpldt0(sK22(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_284])]) ).
fof(f959,plain,
( sK22(sz00) = sdtpldt0(sK22(sz00),sz00)
| ~ spl58_40 ),
inference(resolution,[],[f335,f639]) ).
fof(f4211,plain,
( spl58_283
| ~ spl58_45 ),
inference(avatar_split_clause,[],[f958,f662,f4208]) ).
fof(f4208,plain,
( spl58_283
<=> sK21(sK35) = sdtpldt0(sK21(sK35),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_283])]) ).
fof(f958,plain,
( sK21(sK35) = sdtpldt0(sK21(sK35),sz00)
| ~ spl58_45 ),
inference(resolution,[],[f335,f664]) ).
fof(f4206,plain,
( spl58_282
| ~ spl58_44 ),
inference(avatar_split_clause,[],[f955,f657,f4203]) ).
fof(f4203,plain,
( spl58_282
<=> sK21(xb) = sdtpldt0(sK21(xb),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_282])]) ).
fof(f955,plain,
( sK21(xb) = sdtpldt0(sK21(xb),sz00)
| ~ spl58_44 ),
inference(resolution,[],[f335,f659]) ).
fof(f4199,plain,
( spl58_281
| ~ spl58_43 ),
inference(avatar_split_clause,[],[f954,f652,f4196]) ).
fof(f4196,plain,
( spl58_281
<=> sK21(sz00) = sdtpldt0(sK21(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_281])]) ).
fof(f954,plain,
( sK21(sz00) = sdtpldt0(sK21(sz00),sz00)
| ~ spl58_43 ),
inference(resolution,[],[f335,f654]) ).
fof(f4159,plain,
( spl58_280
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f2285,f485,f4156]) ).
fof(f4156,plain,
( spl58_280
<=> smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_280])]) ).
fof(f485,plain,
( spl58_12
<=> aElement0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_12])]) ).
fof(f2285,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl58_12 ),
inference(resolution,[],[f342,f487]) ).
fof(f487,plain,
( aElement0(sz10)
| ~ spl58_12 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f4154,plain,
( spl58_279
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f2284,f490,f4151]) ).
fof(f4151,plain,
( spl58_279
<=> smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_279])]) ).
fof(f490,plain,
( spl58_13
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_13])]) ).
fof(f2284,plain,
( smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10))
| ~ spl58_13 ),
inference(resolution,[],[f342,f492]) ).
fof(f492,plain,
( aElement0(sz00)
| ~ spl58_13 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f4149,plain,
( spl58_278
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f2228,f485,f4146]) ).
fof(f4146,plain,
( spl58_278
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_278])]) ).
fof(f2228,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl58_12 ),
inference(resolution,[],[f341,f487]) ).
fof(f4144,plain,
( spl58_277
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f2227,f490,f4141]) ).
fof(f4141,plain,
( spl58_277
<=> smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_277])]) ).
fof(f2227,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl58_13 ),
inference(resolution,[],[f341,f492]) ).
fof(f4139,plain,
( spl58_276
| ~ spl58_20 ),
inference(avatar_split_clause,[],[f2226,f524,f4136]) ).
fof(f4136,plain,
( spl58_276
<=> sK30 = sdtpldt0(sK31(sK30),sK32(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_276])]) ).
fof(f524,plain,
( spl58_20
<=> sP4(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_20])]) ).
fof(f2226,plain,
( sK30 = sdtpldt0(sK31(sK30),sK32(sK30))
| ~ spl58_20 ),
inference(resolution,[],[f313,f526]) ).
fof(f526,plain,
( sP4(sK30)
| ~ spl58_20 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f313,plain,
! [X0] :
( ~ sP4(X0)
| sdtpldt0(sK31(X0),sK32(X0)) = X0 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( sdtpldt0(sK31(X0),sK32(X0)) = X0
& aElementOf0(sK32(X0),slsdtgt0(xb))
& aElementOf0(sK31(X0),slsdtgt0(xa)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f178,f179]) ).
fof(f179,plain,
! [X0] :
( ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
=> ( sdtpldt0(sK31(X0),sK32(X0)) = X0
& aElementOf0(sK32(X0),slsdtgt0(xb))
& aElementOf0(sK31(X0),slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X0] :
( ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
| ~ sP4(X0) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
! [X3] :
( ? [X7,X8] :
( sdtpldt0(X7,X8) = X3
& aElementOf0(X8,slsdtgt0(xb))
& aElementOf0(X7,slsdtgt0(xa)) )
| ~ sP4(X3) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X3] :
( ? [X7,X8] :
( sdtpldt0(X7,X8) = X3
& aElementOf0(X8,slsdtgt0(xb))
& aElementOf0(X7,slsdtgt0(xa)) )
| ~ sP4(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f3740,plain,
( spl58_275
| ~ spl58_54 ),
inference(avatar_split_clause,[],[f2672,f714,f3737]) ).
fof(f3737,plain,
( spl58_275
<=> sK33 = sdtpldt0(sK19(sK33),sK20(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_275])]) ).
fof(f714,plain,
( spl58_54
<=> aElementOf0(sK33,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_54])]) ).
fof(f2672,plain,
( sK33 = sdtpldt0(sK19(sK33),sK20(sK33))
| ~ spl58_54 ),
inference(resolution,[],[f267,f716]) ).
fof(f716,plain,
( aElementOf0(sK33,xI)
| ~ spl58_54 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f3735,plain,
( spl58_274
| ~ spl58_56 ),
inference(avatar_split_clause,[],[f2671,f736,f3732]) ).
fof(f3732,plain,
( spl58_274
<=> sK30 = sdtpldt0(sK19(sK30),sK20(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_274])]) ).
fof(f736,plain,
( spl58_56
<=> aElementOf0(sK30,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_56])]) ).
fof(f2671,plain,
( sK30 = sdtpldt0(sK19(sK30),sK20(sK30))
| ~ spl58_56 ),
inference(resolution,[],[f267,f738]) ).
fof(f738,plain,
( aElementOf0(sK30,xI)
| ~ spl58_56 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f3730,plain,
( spl58_273
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f2315,f465,f3727]) ).
fof(f3727,plain,
( spl58_273
<=> smndt0(sK29) = sdtasdt0(sK29,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_273])]) ).
fof(f465,plain,
( spl58_8
<=> aElement0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_8])]) ).
fof(f2315,plain,
( smndt0(sK29) = sdtasdt0(sK29,smndt0(sz10))
| ~ spl58_8 ),
inference(resolution,[],[f342,f467]) ).
fof(f467,plain,
( aElement0(sK29)
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f3725,plain,
( spl58_272
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f2314,f470,f3722]) ).
fof(f3722,plain,
( spl58_272
<=> smndt0(sK28) = sdtasdt0(sK28,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_272])]) ).
fof(f470,plain,
( spl58_9
<=> aElement0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_9])]) ).
fof(f2314,plain,
( smndt0(sK28) = sdtasdt0(sK28,smndt0(sz10))
| ~ spl58_9 ),
inference(resolution,[],[f342,f472]) ).
fof(f472,plain,
( aElement0(sK28)
| ~ spl58_9 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f3720,plain,
( spl58_271
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f2313,f475,f3717]) ).
fof(f3717,plain,
( spl58_271
<=> smndt0(sK27) = sdtasdt0(sK27,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_271])]) ).
fof(f475,plain,
( spl58_10
<=> aElement0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_10])]) ).
fof(f2313,plain,
( smndt0(sK27) = sdtasdt0(sK27,smndt0(sz10))
| ~ spl58_10 ),
inference(resolution,[],[f342,f477]) ).
fof(f477,plain,
( aElement0(sK27)
| ~ spl58_10 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f3715,plain,
( spl58_270
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f2312,f480,f3712]) ).
fof(f3712,plain,
( spl58_270
<=> smndt0(sK26) = sdtasdt0(sK26,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_270])]) ).
fof(f480,plain,
( spl58_11
<=> aElement0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_11])]) ).
fof(f2312,plain,
( smndt0(sK26) = sdtasdt0(sK26,smndt0(sz10))
| ~ spl58_11 ),
inference(resolution,[],[f342,f482]) ).
fof(f482,plain,
( aElement0(sK26)
| ~ spl58_11 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f3710,plain,
( spl58_269
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f2311,f444,f3707]) ).
fof(f3707,plain,
( spl58_269
<=> smndt0(sK25) = sdtasdt0(sK25,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_269])]) ).
fof(f444,plain,
( spl58_4
<=> aElement0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_4])]) ).
fof(f2311,plain,
( smndt0(sK25) = sdtasdt0(sK25,smndt0(sz10))
| ~ spl58_4 ),
inference(resolution,[],[f342,f446]) ).
fof(f446,plain,
( aElement0(sK25)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f3705,plain,
( spl58_268
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f2310,f450,f3702]) ).
fof(f3702,plain,
( spl58_268
<=> smndt0(sK24) = sdtasdt0(sK24,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_268])]) ).
fof(f450,plain,
( spl58_5
<=> aElement0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_5])]) ).
fof(f2310,plain,
( smndt0(sK24) = sdtasdt0(sK24,smndt0(sz10))
| ~ spl58_5 ),
inference(resolution,[],[f342,f452]) ).
fof(f452,plain,
( aElement0(sK24)
| ~ spl58_5 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f3690,plain,
( spl58_267
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f2291,f439,f3687]) ).
fof(f3687,plain,
( spl58_267
<=> smndt0(xc) = sdtasdt0(xc,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_267])]) ).
fof(f439,plain,
( spl58_3
<=> aElement0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_3])]) ).
fof(f2291,plain,
( smndt0(xc) = sdtasdt0(xc,smndt0(sz10))
| ~ spl58_3 ),
inference(resolution,[],[f342,f441]) ).
fof(f441,plain,
( aElement0(xc)
| ~ spl58_3 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f3685,plain,
( spl58_266
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f2290,f460,f3682]) ).
fof(f3682,plain,
( spl58_266
<=> smndt0(xb) = sdtasdt0(xb,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_266])]) ).
fof(f2290,plain,
( smndt0(xb) = sdtasdt0(xb,smndt0(sz10))
| ~ spl58_7 ),
inference(resolution,[],[f342,f462]) ).
fof(f3680,plain,
( spl58_265
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f2289,f455,f3677]) ).
fof(f3677,plain,
( spl58_265
<=> smndt0(xa) = sdtasdt0(xa,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_265])]) ).
fof(f2289,plain,
( smndt0(xa) = sdtasdt0(xa,smndt0(sz10))
| ~ spl58_6 ),
inference(resolution,[],[f342,f457]) ).
fof(f3675,plain,
( spl58_264
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f2258,f465,f3672]) ).
fof(f3672,plain,
( spl58_264
<=> smndt0(sK29) = sdtasdt0(smndt0(sz10),sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_264])]) ).
fof(f2258,plain,
( smndt0(sK29) = sdtasdt0(smndt0(sz10),sK29)
| ~ spl58_8 ),
inference(resolution,[],[f341,f467]) ).
fof(f3670,plain,
( spl58_263
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f2257,f470,f3667]) ).
fof(f3667,plain,
( spl58_263
<=> smndt0(sK28) = sdtasdt0(smndt0(sz10),sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_263])]) ).
fof(f2257,plain,
( smndt0(sK28) = sdtasdt0(smndt0(sz10),sK28)
| ~ spl58_9 ),
inference(resolution,[],[f341,f472]) ).
fof(f3665,plain,
( spl58_262
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f2256,f475,f3662]) ).
fof(f3662,plain,
( spl58_262
<=> smndt0(sK27) = sdtasdt0(smndt0(sz10),sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_262])]) ).
fof(f2256,plain,
( smndt0(sK27) = sdtasdt0(smndt0(sz10),sK27)
| ~ spl58_10 ),
inference(resolution,[],[f341,f477]) ).
fof(f3660,plain,
( spl58_261
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f2255,f480,f3657]) ).
fof(f3657,plain,
( spl58_261
<=> smndt0(sK26) = sdtasdt0(smndt0(sz10),sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_261])]) ).
fof(f2255,plain,
( smndt0(sK26) = sdtasdt0(smndt0(sz10),sK26)
| ~ spl58_11 ),
inference(resolution,[],[f341,f482]) ).
fof(f3655,plain,
( spl58_260
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f2254,f444,f3652]) ).
fof(f3652,plain,
( spl58_260
<=> smndt0(sK25) = sdtasdt0(smndt0(sz10),sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_260])]) ).
fof(f2254,plain,
( smndt0(sK25) = sdtasdt0(smndt0(sz10),sK25)
| ~ spl58_4 ),
inference(resolution,[],[f341,f446]) ).
fof(f3640,plain,
( ~ spl58_258
| ~ spl58_259
| ~ spl58_7
| ~ spl58_45
| ~ spl58_235 ),
inference(avatar_split_clause,[],[f3494,f2680,f662,f460,f3637,f3633]) ).
fof(f3633,plain,
( spl58_258
<=> sP2(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_258])]) ).
fof(f3637,plain,
( spl58_259
<=> xa = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl58_259])]) ).
fof(f3494,plain,
( xa != sK35
| ~ sP2(xb)
| ~ spl58_7
| ~ spl58_45
| ~ spl58_235 ),
inference(subsumption_resolution,[],[f3493,f462]) ).
fof(f3493,plain,
( xa != sK35
| ~ aElement0(xb)
| ~ sP2(xb)
| ~ spl58_45
| ~ spl58_235 ),
inference(subsumption_resolution,[],[f3386,f664]) ).
fof(f3386,plain,
( xa != sK35
| ~ aElement0(sK21(sK35))
| ~ aElement0(xb)
| ~ sP2(xb)
| ~ spl58_235 ),
inference(superposition,[],[f273,f2682]) ).
fof(f273,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != xa
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X1] :
( sdtasdt0(X0,X1) != xa
| ~ aElement0(X1) ) )
| ~ aElement0(X0) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X2] :
( sdtasdt0(X0,X2) != xa
| ~ aElement0(X2) ) )
| ~ aElement0(X0) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X2] :
( sdtasdt0(X0,X2) != xa
| ~ aElement0(X2) ) )
| ~ aElement0(X0) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f3553,plain,
( ~ spl58_257
| ~ spl58_6
| ~ spl58_8
| ~ spl58_12
| ~ spl58_111
| ~ spl58_119 ),
inference(avatar_split_clause,[],[f3466,f1317,f1277,f485,f465,f455,f3543]) ).
fof(f3543,plain,
( spl58_257
<=> sP2(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_257])]) ).
fof(f1277,plain,
( spl58_111
<=> xa = sdtasdt0(sz10,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_111])]) ).
fof(f1317,plain,
( spl58_119
<=> sK29 = sdtasdt0(sz10,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_119])]) ).
fof(f3466,plain,
( ~ sP2(sz10)
| ~ spl58_6
| ~ spl58_8
| ~ spl58_12
| ~ spl58_111
| ~ spl58_119 ),
inference(global_subsumption,[],[f3465,f253,f268,f310,f309,f314,f321,f318,f354,f353,f352,f351,f350,f362,f361,f360,f359,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f457,f327,f328,f487,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f800,f861,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f950,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1028,f343,f1086,f380,f1149,f415,f416,f421,f1279,f265,f798,f859,f948,f1026,f1084,f1147,f266,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f1447,f364,f1530,f365,f1693,f366,f392,f1729,f1445,f1528,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2151,f313,f341,f2228,f2229,f2230,f2231,f2244,f2245,f2249,f2250,f2252,f2265,f2266,f2270,f2271,f342,f2285,f2286,f2287,f2288,f2289,f2301,f2302,f2306,f2307,f2309,f2322,f2323,f2327,f2328,f346,f2352,f2353,f347,f257,f2414,f260,f2604,f2605,f2606,f263,f2630,f2631,f2632,f267,f2669,f2670,f287,f317,f2726,f2727,f2728,f320,f2772,f2773,f2774,f345,f349,f2838,f358,f2874,f2875,f2876,f2877,f2878,f2879,f2880,f2881,f2882,f2885,f2886,f374,f3033,f375,f256,f3136,f3139,f261,f3219,f264,f3249,f1326,f3264,f3265,f3266,f3267,f3268,f3269,f3270,f3271,f3272,f3273,f1327,f3274,f3275,f3276,f3277,f3278,f3279,f3280,f3281,f3282,f3283,f1365,f3284,f3285,f3286,f3287,f3288,f3289,f3290,f3291,f3292,f3293,f1366,f3294,f3295,f3296,f3297,f3298,f3299,f3300,f3301,f3302,f3303,f2232,f273,f3445]) ).
fof(f3445,plain,
( ~ sP2(sz10)
| ~ spl58_6
| ~ spl58_12
| ~ spl58_111 ),
inference(subsumption_resolution,[],[f3444,f487]) ).
fof(f3444,plain,
( ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_6
| ~ spl58_111 ),
inference(subsumption_resolution,[],[f3440,f457]) ).
fof(f3440,plain,
( ~ aElement0(xa)
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_111 ),
inference(trivial_inequality_removal,[],[f3359]) ).
fof(f3359,plain,
( xa != xa
| ~ aElement0(xa)
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_111 ),
inference(superposition,[],[f273,f1279]) ).
fof(f2232,plain,
( smndt0(xa) = sdtasdt0(smndt0(sz10),xa)
| ~ spl58_6 ),
inference(resolution,[],[f341,f457]) ).
fof(f3303,plain,
! [X9] :
( ~ aElementOf0(X9,xI)
| smndt0(sK21(sK20(X9))) = sdtasdt0(sK21(sK20(X9)),smndt0(sz10)) ),
inference(resolution,[],[f1366,f342]) ).
fof(f3302,plain,
! [X8] :
( ~ aElementOf0(X8,xI)
| smndt0(sK21(sK20(X8))) = sdtasdt0(smndt0(sz10),sK21(sK20(X8))) ),
inference(resolution,[],[f1366,f341]) ).
fof(f3301,plain,
! [X7] :
( ~ aElementOf0(X7,xI)
| sz00 = sdtpldt0(smndt0(sK21(sK20(X7))),sK21(sK20(X7))) ),
inference(resolution,[],[f1366,f340]) ).
fof(f3300,plain,
! [X6] :
( ~ aElementOf0(X6,xI)
| sz00 = sdtpldt0(sK21(sK20(X6)),smndt0(sK21(sK20(X6)))) ),
inference(resolution,[],[f1366,f339]) ).
fof(f3299,plain,
! [X5] :
( ~ aElementOf0(X5,xI)
| sK21(sK20(X5)) = sdtasdt0(sz10,sK21(sK20(X5))) ),
inference(resolution,[],[f1366,f338]) ).
fof(f3298,plain,
! [X4] :
( ~ aElementOf0(X4,xI)
| sK21(sK20(X4)) = sdtasdt0(sK21(sK20(X4)),sz10) ),
inference(resolution,[],[f1366,f337]) ).
fof(f3297,plain,
! [X3] :
( ~ aElementOf0(X3,xI)
| sK21(sK20(X3)) = sdtpldt0(sz00,sK21(sK20(X3))) ),
inference(resolution,[],[f1366,f336]) ).
fof(f3296,plain,
! [X2] :
( ~ aElementOf0(X2,xI)
| sK21(sK20(X2)) = sdtpldt0(sK21(sK20(X2)),sz00) ),
inference(resolution,[],[f1366,f335]) ).
fof(f3295,plain,
! [X1] :
( ~ aElementOf0(X1,xI)
| sz00 = sdtasdt0(sz00,sK21(sK20(X1))) ),
inference(resolution,[],[f1366,f334]) ).
fof(f3294,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = sdtasdt0(sK21(sK20(X0)),sz00) ),
inference(resolution,[],[f1366,f333]) ).
fof(f1366,plain,
! [X1] :
( aElement0(sK21(sK20(X1)))
| ~ aElementOf0(X1,xI) ),
inference(resolution,[],[f266,f262]) ).
fof(f3293,plain,
! [X9] :
( ~ aElementOf0(X9,xI)
| smndt0(sK36(sK20(X9))) = sdtasdt0(sK36(sK20(X9)),smndt0(sz10)) ),
inference(resolution,[],[f1365,f342]) ).
fof(f3292,plain,
! [X8] :
( ~ aElementOf0(X8,xI)
| smndt0(sK36(sK20(X8))) = sdtasdt0(smndt0(sz10),sK36(sK20(X8))) ),
inference(resolution,[],[f1365,f341]) ).
fof(f3291,plain,
! [X7] :
( ~ aElementOf0(X7,xI)
| sz00 = sdtpldt0(smndt0(sK36(sK20(X7))),sK36(sK20(X7))) ),
inference(resolution,[],[f1365,f340]) ).
fof(f3290,plain,
! [X6] :
( ~ aElementOf0(X6,xI)
| sz00 = sdtpldt0(sK36(sK20(X6)),smndt0(sK36(sK20(X6)))) ),
inference(resolution,[],[f1365,f339]) ).
fof(f3289,plain,
! [X5] :
( ~ aElementOf0(X5,xI)
| sK36(sK20(X5)) = sdtasdt0(sz10,sK36(sK20(X5))) ),
inference(resolution,[],[f1365,f338]) ).
fof(f3288,plain,
! [X4] :
( ~ aElementOf0(X4,xI)
| sK36(sK20(X4)) = sdtasdt0(sK36(sK20(X4)),sz10) ),
inference(resolution,[],[f1365,f337]) ).
fof(f3287,plain,
! [X3] :
( ~ aElementOf0(X3,xI)
| sK36(sK20(X3)) = sdtpldt0(sz00,sK36(sK20(X3))) ),
inference(resolution,[],[f1365,f336]) ).
fof(f3286,plain,
! [X2] :
( ~ aElementOf0(X2,xI)
| sK36(sK20(X2)) = sdtpldt0(sK36(sK20(X2)),sz00) ),
inference(resolution,[],[f1365,f335]) ).
fof(f3285,plain,
! [X1] :
( ~ aElementOf0(X1,xI)
| sz00 = sdtasdt0(sz00,sK36(sK20(X1))) ),
inference(resolution,[],[f1365,f334]) ).
fof(f3284,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = sdtasdt0(sK36(sK20(X0)),sz00) ),
inference(resolution,[],[f1365,f333]) ).
fof(f1365,plain,
! [X0] :
( aElement0(sK36(sK20(X0)))
| ~ aElementOf0(X0,xI) ),
inference(resolution,[],[f266,f319]) ).
fof(f3283,plain,
! [X9] :
( ~ aElementOf0(X9,xI)
| smndt0(sK22(sK19(X9))) = sdtasdt0(sK22(sK19(X9)),smndt0(sz10)) ),
inference(resolution,[],[f1327,f342]) ).
fof(f3282,plain,
! [X8] :
( ~ aElementOf0(X8,xI)
| smndt0(sK22(sK19(X8))) = sdtasdt0(smndt0(sz10),sK22(sK19(X8))) ),
inference(resolution,[],[f1327,f341]) ).
fof(f3281,plain,
! [X7] :
( ~ aElementOf0(X7,xI)
| sz00 = sdtpldt0(smndt0(sK22(sK19(X7))),sK22(sK19(X7))) ),
inference(resolution,[],[f1327,f340]) ).
fof(f3280,plain,
! [X6] :
( ~ aElementOf0(X6,xI)
| sz00 = sdtpldt0(sK22(sK19(X6)),smndt0(sK22(sK19(X6)))) ),
inference(resolution,[],[f1327,f339]) ).
fof(f3279,plain,
! [X5] :
( ~ aElementOf0(X5,xI)
| sK22(sK19(X5)) = sdtasdt0(sz10,sK22(sK19(X5))) ),
inference(resolution,[],[f1327,f338]) ).
fof(f3278,plain,
! [X4] :
( ~ aElementOf0(X4,xI)
| sK22(sK19(X4)) = sdtasdt0(sK22(sK19(X4)),sz10) ),
inference(resolution,[],[f1327,f337]) ).
fof(f3277,plain,
! [X3] :
( ~ aElementOf0(X3,xI)
| sK22(sK19(X3)) = sdtpldt0(sz00,sK22(sK19(X3))) ),
inference(resolution,[],[f1327,f336]) ).
fof(f3276,plain,
! [X2] :
( ~ aElementOf0(X2,xI)
| sK22(sK19(X2)) = sdtpldt0(sK22(sK19(X2)),sz00) ),
inference(resolution,[],[f1327,f335]) ).
fof(f3275,plain,
! [X1] :
( ~ aElementOf0(X1,xI)
| sz00 = sdtasdt0(sz00,sK22(sK19(X1))) ),
inference(resolution,[],[f1327,f334]) ).
fof(f3274,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = sdtasdt0(sK22(sK19(X0)),sz00) ),
inference(resolution,[],[f1327,f333]) ).
fof(f1327,plain,
! [X1] :
( aElement0(sK22(sK19(X1)))
| ~ aElementOf0(X1,xI) ),
inference(resolution,[],[f265,f259]) ).
fof(f3273,plain,
! [X9] :
( ~ aElementOf0(X9,xI)
| smndt0(sK37(sK19(X9))) = sdtasdt0(sK37(sK19(X9)),smndt0(sz10)) ),
inference(resolution,[],[f1326,f342]) ).
fof(f3272,plain,
! [X8] :
( ~ aElementOf0(X8,xI)
| smndt0(sK37(sK19(X8))) = sdtasdt0(smndt0(sz10),sK37(sK19(X8))) ),
inference(resolution,[],[f1326,f341]) ).
fof(f3271,plain,
! [X7] :
( ~ aElementOf0(X7,xI)
| sz00 = sdtpldt0(smndt0(sK37(sK19(X7))),sK37(sK19(X7))) ),
inference(resolution,[],[f1326,f340]) ).
fof(f3270,plain,
! [X6] :
( ~ aElementOf0(X6,xI)
| sz00 = sdtpldt0(sK37(sK19(X6)),smndt0(sK37(sK19(X6)))) ),
inference(resolution,[],[f1326,f339]) ).
fof(f3269,plain,
! [X5] :
( ~ aElementOf0(X5,xI)
| sK37(sK19(X5)) = sdtasdt0(sz10,sK37(sK19(X5))) ),
inference(resolution,[],[f1326,f338]) ).
fof(f3268,plain,
! [X4] :
( ~ aElementOf0(X4,xI)
| sK37(sK19(X4)) = sdtasdt0(sK37(sK19(X4)),sz10) ),
inference(resolution,[],[f1326,f337]) ).
fof(f3267,plain,
! [X3] :
( ~ aElementOf0(X3,xI)
| sK37(sK19(X3)) = sdtpldt0(sz00,sK37(sK19(X3))) ),
inference(resolution,[],[f1326,f336]) ).
fof(f3266,plain,
! [X2] :
( ~ aElementOf0(X2,xI)
| sK37(sK19(X2)) = sdtpldt0(sK37(sK19(X2)),sz00) ),
inference(resolution,[],[f1326,f335]) ).
fof(f3265,plain,
! [X1] :
( ~ aElementOf0(X1,xI)
| sz00 = sdtasdt0(sz00,sK37(sK19(X1))) ),
inference(resolution,[],[f1326,f334]) ).
fof(f3264,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = sdtasdt0(sK37(sK19(X0)),sz00) ),
inference(resolution,[],[f1326,f333]) ).
fof(f1326,plain,
! [X0] :
( aElement0(sK37(sK19(X0)))
| ~ aElementOf0(X0,xI) ),
inference(resolution,[],[f265,f316]) ).
fof(f3249,plain,
! [X0] :
( aElementOf0(sdtasdt0(xb,X0),slsdtgt0(xb))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f264]) ).
fof(f264,plain,
! [X6,X5] :
( sdtasdt0(xb,X6) != X5
| aElementOf0(X5,slsdtgt0(xb))
| ~ aElement0(X6) ),
inference(cnf_transformation,[],[f157]) ).
fof(f3219,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,X0),slsdtgt0(xa))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f261]) ).
fof(f261,plain,
! [X8,X9] :
( sdtasdt0(xa,X9) != X8
| aElementOf0(X8,slsdtgt0(xa))
| ~ aElement0(X9) ),
inference(cnf_transformation,[],[f157]) ).
fof(f3139,plain,
! [X6,X7] :
( ~ aElementOf0(X6,xI)
| ~ aElementOf0(X7,xI)
| sz00 = sdtpldt0(X7,X6)
| sP1(sdtpldt0(X7,X6)) ),
inference(resolution,[],[f256,f254]) ).
fof(f3136,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xI)
| sdtpldt0(X1,X0) = sdtpldt0(sK19(sdtpldt0(X1,X0)),sK20(sdtpldt0(X1,X0))) ),
inference(resolution,[],[f256,f267]) ).
fof(f256,plain,
! [X11,X13] :
( aElementOf0(sdtpldt0(X11,X13),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X11,xI) ),
inference(cnf_transformation,[],[f157]) ).
fof(f375,plain,
! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( ( ~ aElementOf0(sK46(X0,X1,X2),X0)
| ~ aElementOf0(sK46(X0,X1,X2),X1)
| ~ aElementOf0(sK46(X0,X1,X2),X2) )
& ( ( aElementOf0(sK46(X0,X1,X2),X0)
& aElementOf0(sK46(X0,X1,X2),X1) )
| aElementOf0(sK46(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f215,f216]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ aElementOf0(sK46(X0,X1,X2),X0)
| ~ aElementOf0(sK46(X0,X1,X2),X1)
| ~ aElementOf0(sK46(X0,X1,X2),X2) )
& ( ( aElementOf0(sK46(X0,X1,X2),X0)
& aElementOf0(sK46(X0,X1,X2),X1) )
| aElementOf0(sK46(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f214]) ).
fof(f214,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X1,X0,X2] :
( sP10(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f3033,plain,
( ! [X35] :
( ~ sP9(X35,xa)
| aElementOf0(xa,X35) )
| ~ spl58_12
| ~ spl58_111 ),
inference(subsumption_resolution,[],[f2922,f487]) ).
fof(f2922,plain,
( ! [X35] :
( aElementOf0(xa,X35)
| ~ aElement0(sz10)
| ~ sP9(X35,xa) )
| ~ spl58_111 ),
inference(superposition,[],[f358,f1279]) ).
fof(f374,plain,
! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f2886,plain,
! [X26,X24,X25] :
( ~ aElement0(X24)
| ~ sP9(X25,X26)
| aElement0(sdtasdt0(X24,X26))
| ~ aSet0(X25) ),
inference(resolution,[],[f358,f330]) ).
fof(f2885,plain,
! [X22,X23] :
( ~ aElement0(X22)
| ~ sP9(xI,X23)
| sz00 = sdtasdt0(X22,X23)
| sP1(sdtasdt0(X22,X23)) ),
inference(resolution,[],[f358,f254]) ).
fof(f2882,plain,
! [X16,X17] :
( ~ aElement0(X16)
| ~ sP9(xI,X17)
| sdtasdt0(X16,X17) = sdtpldt0(sK19(sdtasdt0(X16,X17)),sK20(sdtasdt0(X16,X17))) ),
inference(resolution,[],[f358,f267]) ).
fof(f2881,plain,
! [X14,X15] :
( ~ aElement0(X14)
| ~ sP9(slsdtgt0(xb),X15)
| aElement0(sK21(sdtasdt0(X14,X15))) ),
inference(resolution,[],[f358,f262]) ).
fof(f2880,plain,
! [X12,X13] :
( ~ aElement0(X12)
| ~ sP9(slsdtgt0(xb),X13)
| aElement0(sK36(sdtasdt0(X12,X13))) ),
inference(resolution,[],[f358,f319]) ).
fof(f2879,plain,
! [X10,X11] :
( ~ aElement0(X10)
| ~ sP9(slsdtgt0(xb),X11)
| sdtasdt0(X10,X11) = sdtasdt0(xb,sK21(sdtasdt0(X10,X11))) ),
inference(resolution,[],[f358,f263]) ).
fof(f2878,plain,
! [X8,X9] :
( ~ aElement0(X8)
| ~ sP9(slsdtgt0(xb),X9)
| sdtasdt0(X8,X9) = sdtasdt0(xb,sK36(sdtasdt0(X8,X9))) ),
inference(resolution,[],[f358,f320]) ).
fof(f2877,plain,
! [X6,X7] :
( ~ aElement0(X6)
| ~ sP9(slsdtgt0(xa),X7)
| aElement0(sK22(sdtasdt0(X6,X7))) ),
inference(resolution,[],[f358,f259]) ).
fof(f2876,plain,
! [X4,X5] :
( ~ aElement0(X4)
| ~ sP9(slsdtgt0(xa),X5)
| aElement0(sK37(sdtasdt0(X4,X5))) ),
inference(resolution,[],[f358,f316]) ).
fof(f2875,plain,
! [X2,X3] :
( ~ aElement0(X2)
| ~ sP9(slsdtgt0(xa),X3)
| sdtasdt0(X2,X3) = sdtasdt0(xa,sK22(sdtasdt0(X2,X3))) ),
inference(resolution,[],[f358,f260]) ).
fof(f2874,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ sP9(slsdtgt0(xa),X1)
| sdtasdt0(X0,X1) = sdtasdt0(xa,sK37(sdtasdt0(X0,X1))) ),
inference(resolution,[],[f358,f317]) ).
fof(f358,plain,
! [X0,X1,X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( ( sP9(X0,X1)
| ( ~ aElementOf0(sdtasdt0(sK41(X0,X1),X1),X0)
& aElement0(sK41(X0,X1)) )
| ( ~ aElementOf0(sdtpldt0(X1,sK42(X0,X1)),X0)
& aElementOf0(sK42(X0,X1),X0) ) )
& ( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0) ) )
| ~ sP9(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42])],[f200,f202,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK41(X0,X1),X1),X0)
& aElement0(sK41(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(X1,sK42(X0,X1)),X0)
& aElementOf0(sK42(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0,X1] :
( ( sP9(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0) ) )
| ~ sP9(X0,X1) ) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ( sP9(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ sP9(X0,X1) ) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( sP9(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ sP9(X0,X1) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( sP9(X0,X1)
<=> ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f2838,plain,
! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(X1))
| aElement0(sK40(X1,X0))
| ~ sP8(X1) ),
inference(resolution,[],[f349,f2352]) ).
fof(f349,plain,
! [X0,X1,X5] :
( ~ sP7(X0,X1)
| ~ aElementOf0(X5,X1)
| aElement0(sK40(X0,X5)) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( sP7(X0,X1)
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK38(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK38(X0,X1),X1) )
& ( ( sK38(X0,X1) = sdtasdt0(X0,sK39(X0,X1))
& aElement0(sK39(X0,X1)) )
| aElementOf0(sK38(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK40(X0,X5)) = X5
& aElement0(sK40(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ~ sP7(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40])],[f193,f196,f195,f194]) ).
fof(f194,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK38(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK38(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK38(X0,X1)
& aElement0(X4) )
| aElementOf0(sK38(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK38(X0,X1)
& aElement0(X4) )
=> ( sK38(X0,X1) = sdtasdt0(X0,sK39(X0,X1))
& aElement0(sK39(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK40(X0,X5)) = X5
& aElement0(sK40(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X0,X1] :
( ( sP7(X0,X1)
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ~ sP7(X0,X1) ) ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( ( sP7(X0,X1)
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP7(X0,X1) ) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ( sP7(X0,X1)
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP7(X0,X1) ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( sP7(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f345,plain,
! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDefDvs) ).
fof(f2774,plain,
! [X2] :
( sK32(X2) = sdtasdt0(xb,sK36(sK32(X2)))
| ~ sP4(X2) ),
inference(resolution,[],[f320,f312]) ).
fof(f2773,plain,
! [X1] :
( sK20(X1) = sdtasdt0(xb,sK36(sK20(X1)))
| ~ aElementOf0(X1,xI) ),
inference(resolution,[],[f320,f266]) ).
fof(f2772,plain,
! [X0] :
( sK18(X0) = sdtasdt0(xb,sK36(sK18(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f320,f251]) ).
fof(f320,plain,
! [X3] :
( ~ aElementOf0(X3,slsdtgt0(xb))
| sdtasdt0(xb,sK36(X3)) = X3 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( sz00 != sK33
& aElementOf0(sK33,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& sK33 = sdtpldt0(sK34,sK35)
& aElementOf0(sK35,slsdtgt0(xb))
& aElementOf0(sK34,slsdtgt0(xa))
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ( sdtasdt0(xb,sK36(X3)) = X3
& aElement0(sK36(X3)) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ( sdtasdt0(xa,sK37(X6)) = X6
& aElement0(sK37(X6)) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34,sK35,sK36,sK37])],[f182,f186,f185,f184,f183]) ).
fof(f183,plain,
( ? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ? [X5] :
( sdtasdt0(xb,X5) = X3
& aElement0(X5) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) ) )
=> ( sz00 != sK33
& aElementOf0(sK33,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [X2,X1] :
( sdtpldt0(X1,X2) = sK33
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ? [X5] :
( sdtasdt0(xb,X5) = X3
& aElement0(X5) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( ? [X2,X1] :
( sdtpldt0(X1,X2) = sK33
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
=> ( sK33 = sdtpldt0(sK34,sK35)
& aElementOf0(sK35,slsdtgt0(xb))
& aElementOf0(sK34,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X3] :
( ? [X5] :
( sdtasdt0(xb,X5) = X3
& aElement0(X5) )
=> ( sdtasdt0(xb,sK36(X3)) = X3
& aElement0(sK36(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X6] :
( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
=> ( sdtasdt0(xa,sK37(X6)) = X6
& aElement0(sK37(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ? [X5] :
( sdtasdt0(xb,X5) = X3
& aElement0(X5) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) ) ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xa))
| ! [X6] :
( sdtasdt0(xa,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) )
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xa))
<=> ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) ) ) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xb))
<=> ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( sdtasdt0(xa,X2) = X1
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',m__2228) ).
fof(f2728,plain,
! [X2] :
( sK31(X2) = sdtasdt0(xa,sK37(sK31(X2)))
| ~ sP4(X2) ),
inference(resolution,[],[f317,f311]) ).
fof(f2727,plain,
! [X1] :
( sK19(X1) = sdtasdt0(xa,sK37(sK19(X1)))
| ~ aElementOf0(X1,xI) ),
inference(resolution,[],[f317,f265]) ).
fof(f2726,plain,
! [X0] :
( sK17(X0) = sdtasdt0(xa,sK37(sK17(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f317,f250]) ).
fof(f317,plain,
! [X6] :
( ~ aElementOf0(X6,slsdtgt0(xa))
| sdtasdt0(xa,sK37(X6)) = X6 ),
inference(cnf_transformation,[],[f187]) ).
fof(f287,plain,
! [X0] :
( sP3(X0)
| xc = sdtasdt0(X0,sK23(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& xc = sdtasdt0(X0,sK23(X0))
& aElement0(sK23(X0)) )
| sP3(X0)
| sP2(X0) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& xb = sdtasdt0(xc,sK24)
& aElement0(sK24)
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& xa = sdtasdt0(xc,sK25)
& aElement0(sK25)
& aElement0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25])],[f161,f164,f163,f162]) ).
fof(f162,plain,
! [X0] :
( ? [X1] :
( sdtasdt0(X0,X1) = xc
& aElement0(X1) )
=> ( xc = sdtasdt0(X0,sK23(X0))
& aElement0(sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
( ? [X2] :
( xb = sdtasdt0(xc,X2)
& aElement0(X2) )
=> ( xb = sdtasdt0(xc,sK24)
& aElement0(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X3] :
( xa = sdtasdt0(xc,X3)
& aElement0(X3) )
=> ( xa = sdtasdt0(xc,sK25)
& aElement0(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& ? [X1] :
( sdtasdt0(X0,X1) = xc
& aElement0(X1) ) )
| sP3(X0)
| sP2(X0) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X2] :
( xb = sdtasdt0(xc,X2)
& aElement0(X2) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X3] :
( xa = sdtasdt0(xc,X3)
& aElement0(X3) )
& aElement0(xc) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& ? [X3] :
( sdtasdt0(X0,X3) = xc
& aElement0(X3) ) )
| sP3(X0)
| sP2(X0) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X4] :
( xb = sdtasdt0(xc,X4)
& aElement0(X4) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X5] :
( xa = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElement0(xc) ),
inference(definition_folding,[],[f65,f123,f122]) ).
fof(f123,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xb)
& ~ doDivides0(X0,xb)
& ! [X1] :
( sdtasdt0(X0,X1) != xb
| ~ aElement0(X1) ) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f65,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& ? [X3] :
( sdtasdt0(X0,X3) = xc
& aElement0(X3) ) )
| ( ~ aDivisorOf0(X0,xb)
& ~ doDivides0(X0,xb)
& ! [X1] :
( sdtasdt0(X0,X1) != xb
| ~ aElement0(X1) ) )
| ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X2] :
( sdtasdt0(X0,X2) != xa
| ~ aElement0(X2) ) )
| ~ aElement0(X0) ) ) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X4] :
( xb = sdtasdt0(xc,X4)
& aElement0(X4) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X5] :
( xa = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElement0(xc) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& ? [X3] :
( sdtasdt0(X0,X3) = xc
& aElement0(X3) ) )
| ( ~ aDivisorOf0(X0,xb)
& ~ doDivides0(X0,xb)
& ! [X1] :
( sdtasdt0(X0,X1) != xb
| ~ aElement0(X1) ) )
| ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X2] :
( sdtasdt0(X0,X2) != xa
| ~ aElement0(X2) ) )
| ~ aElement0(X0) ) ) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X4] :
( xb = sdtasdt0(xc,X4)
& aElement0(X4) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X5] :
( xa = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElement0(xc) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( ( aDivisorOf0(X0,xb)
| doDivides0(X0,xb)
| ? [X1] :
( sdtasdt0(X0,X1) = xb
& aElement0(X1) ) )
& ( aDivisorOf0(X0,xa)
| ( ( doDivides0(X0,xa)
| ? [X2] :
( sdtasdt0(X0,X2) = xa
& aElement0(X2) ) )
& aElement0(X0) ) ) )
=> ( doDivides0(X0,xc)
& ? [X3] :
( sdtasdt0(X0,X3) = xc
& aElement0(X3) ) ) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X4] :
( xb = sdtasdt0(xc,X4)
& aElement0(X4) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X5] :
( xa = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElement0(xc) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( ( aDivisorOf0(X0,xb)
| doDivides0(X0,xb)
| ? [X1] :
( sdtasdt0(X0,X1) = xb
& aElement0(X1) ) )
& ( aDivisorOf0(X0,xa)
| ( ( doDivides0(X0,xa)
| ? [X1] :
( sdtasdt0(X0,X1) = xa
& aElement0(X1) ) )
& aElement0(X0) ) ) )
=> ( doDivides0(X0,xc)
& ? [X1] :
( sdtasdt0(X0,X1) = xc
& aElement0(X1) ) ) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X0] :
( xb = sdtasdt0(xc,X0)
& aElement0(X0) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X0] :
( xa = sdtasdt0(xc,X0)
& aElement0(X0) )
& aElement0(xc) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',m__2129) ).
fof(f2670,plain,
! [X2] :
( sK16(X2) = sdtpldt0(sK19(sK16(X2)),sK20(sK16(X2)))
| ~ sP1(X2) ),
inference(resolution,[],[f267,f247]) ).
fof(f2669,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(sK19(sdtasdt0(X0,X1)),sK20(sdtasdt0(X0,X1)))
| ~ aElement0(X0)
| ~ aElementOf0(X1,xI) ),
inference(resolution,[],[f267,f257]) ).
fof(f2632,plain,
! [X2] :
( sK32(X2) = sdtasdt0(xb,sK21(sK32(X2)))
| ~ sP4(X2) ),
inference(resolution,[],[f263,f312]) ).
fof(f2631,plain,
! [X1] :
( sK20(X1) = sdtasdt0(xb,sK21(sK20(X1)))
| ~ aElementOf0(X1,xI) ),
inference(resolution,[],[f263,f266]) ).
fof(f2630,plain,
! [X0] :
( sK18(X0) = sdtasdt0(xb,sK21(sK18(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f263,f251]) ).
fof(f263,plain,
! [X5] :
( ~ aElementOf0(X5,slsdtgt0(xb))
| sdtasdt0(xb,sK21(X5)) = X5 ),
inference(cnf_transformation,[],[f157]) ).
fof(f2606,plain,
! [X2] :
( sK31(X2) = sdtasdt0(xa,sK22(sK31(X2)))
| ~ sP4(X2) ),
inference(resolution,[],[f260,f311]) ).
fof(f2605,plain,
! [X1] :
( sK19(X1) = sdtasdt0(xa,sK22(sK19(X1)))
| ~ aElementOf0(X1,xI) ),
inference(resolution,[],[f260,f265]) ).
fof(f2604,plain,
! [X0] :
( sK17(X0) = sdtasdt0(xa,sK22(sK17(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f260,f250]) ).
fof(f260,plain,
! [X8] :
( ~ aElementOf0(X8,slsdtgt0(xa))
| sdtasdt0(xa,sK22(X8)) = X8 ),
inference(cnf_transformation,[],[f157]) ).
fof(f2414,plain,
! [X4,X5] :
( ~ aElement0(X4)
| ~ aElementOf0(X5,xI)
| sz00 = sdtasdt0(X4,X5)
| sP1(sdtasdt0(X4,X5)) ),
inference(resolution,[],[f257,f254]) ).
fof(f347,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| slsdtgt0(X0) = X1
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ sP7(X0,X1) )
& ( sP7(X0,X1)
| slsdtgt0(X0) != X1 ) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> sP7(X0,X1) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f2353,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ sP8(X0) ),
inference(resolution,[],[f2352,f348]) ).
fof(f2352,plain,
! [X0] :
( sP7(X0,slsdtgt0(X0))
| ~ sP8(X0) ),
inference(equality_resolution,[],[f346]) ).
fof(f346,plain,
! [X0,X1] :
( slsdtgt0(X0) != X1
| sP7(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f2328,plain,
! [X16] :
( smndt0(sK37(sK31(X16))) = sdtasdt0(sK37(sK31(X16)),smndt0(sz10))
| ~ sP4(X16) ),
inference(resolution,[],[f342,f767]) ).
fof(f2327,plain,
! [X15] :
( smndt0(sK37(sK17(X15))) = sdtasdt0(sK37(sK17(X15)),smndt0(sz10))
| ~ sP0(X15) ),
inference(resolution,[],[f342,f762]) ).
fof(f2323,plain,
! [X14] :
( smndt0(sK36(sK32(X14))) = sdtasdt0(sK36(sK32(X14)),smndt0(sz10))
| ~ sP4(X14) ),
inference(resolution,[],[f342,f769]) ).
fof(f2322,plain,
! [X13] :
( smndt0(sK36(sK18(X13))) = sdtasdt0(sK36(sK18(X13)),smndt0(sz10))
| ~ sP0(X13) ),
inference(resolution,[],[f342,f764]) ).
fof(f2309,plain,
! [X12] :
( smndt0(sK23(X12)) = sdtasdt0(sK23(X12),smndt0(sz10))
| sP3(X12)
| sP2(X12) ),
inference(resolution,[],[f342,f286]) ).
fof(f2307,plain,
! [X11] :
( smndt0(sK22(sK31(X11))) = sdtasdt0(sK22(sK31(X11)),smndt0(sz10))
| ~ sP4(X11) ),
inference(resolution,[],[f342,f768]) ).
fof(f2306,plain,
! [X10] :
( smndt0(sK22(sK17(X10))) = sdtasdt0(sK22(sK17(X10)),smndt0(sz10))
| ~ sP0(X10) ),
inference(resolution,[],[f342,f763]) ).
fof(f2302,plain,
! [X9] :
( smndt0(sK21(sK32(X9))) = sdtasdt0(sK21(sK32(X9)),smndt0(sz10))
| ~ sP4(X9) ),
inference(resolution,[],[f342,f770]) ).
fof(f2301,plain,
! [X8] :
( smndt0(sK21(sK18(X8))) = sdtasdt0(sK21(sK18(X8)),smndt0(sz10))
| ~ sP0(X8) ),
inference(resolution,[],[f342,f765]) ).
fof(f2288,plain,
! [X3,X4] :
( smndt0(sdtasdt0(X3,X4)) = sdtasdt0(sdtasdt0(X3,X4),smndt0(sz10))
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(resolution,[],[f342,f404]) ).
fof(f2287,plain,
! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),smndt0(sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f342,f403]) ).
fof(f2286,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aElement0(X0) ),
inference(resolution,[],[f342,f332]) ).
fof(f2271,plain,
! [X16] :
( smndt0(sK37(sK31(X16))) = sdtasdt0(smndt0(sz10),sK37(sK31(X16)))
| ~ sP4(X16) ),
inference(resolution,[],[f341,f767]) ).
fof(f2270,plain,
! [X15] :
( smndt0(sK37(sK17(X15))) = sdtasdt0(smndt0(sz10),sK37(sK17(X15)))
| ~ sP0(X15) ),
inference(resolution,[],[f341,f762]) ).
fof(f2266,plain,
! [X14] :
( smndt0(sK36(sK32(X14))) = sdtasdt0(smndt0(sz10),sK36(sK32(X14)))
| ~ sP4(X14) ),
inference(resolution,[],[f341,f769]) ).
fof(f2265,plain,
! [X13] :
( smndt0(sK36(sK18(X13))) = sdtasdt0(smndt0(sz10),sK36(sK18(X13)))
| ~ sP0(X13) ),
inference(resolution,[],[f341,f764]) ).
fof(f2252,plain,
! [X12] :
( smndt0(sK23(X12)) = sdtasdt0(smndt0(sz10),sK23(X12))
| sP3(X12)
| sP2(X12) ),
inference(resolution,[],[f341,f286]) ).
fof(f2250,plain,
! [X11] :
( smndt0(sK22(sK31(X11))) = sdtasdt0(smndt0(sz10),sK22(sK31(X11)))
| ~ sP4(X11) ),
inference(resolution,[],[f341,f768]) ).
fof(f2249,plain,
! [X10] :
( smndt0(sK22(sK17(X10))) = sdtasdt0(smndt0(sz10),sK22(sK17(X10)))
| ~ sP0(X10) ),
inference(resolution,[],[f341,f763]) ).
fof(f2245,plain,
! [X9] :
( smndt0(sK21(sK32(X9))) = sdtasdt0(smndt0(sz10),sK21(sK32(X9)))
| ~ sP4(X9) ),
inference(resolution,[],[f341,f770]) ).
fof(f2244,plain,
! [X8] :
( smndt0(sK21(sK18(X8))) = sdtasdt0(smndt0(sz10),sK21(sK18(X8)))
| ~ sP0(X8) ),
inference(resolution,[],[f341,f765]) ).
fof(f2231,plain,
! [X3,X4] :
( smndt0(sdtasdt0(X3,X4)) = sdtasdt0(smndt0(sz10),sdtasdt0(X3,X4))
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(resolution,[],[f341,f404]) ).
fof(f2230,plain,
! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(smndt0(sz10),sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f341,f403]) ).
fof(f2229,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f341,f332]) ).
fof(f2151,plain,
( xa != xb
| ~ sP3(sz10)
| ~ spl58_6
| ~ spl58_111 ),
inference(subsumption_resolution,[],[f2090,f457]) ).
fof(f2090,plain,
( xa != xb
| ~ aElement0(xa)
| ~ sP3(sz10)
| ~ spl58_111 ),
inference(superposition,[],[f270,f1279]) ).
fof(f270,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != xb
| ~ aElement0(X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xb)
& ~ doDivides0(X0,xb)
& ! [X1] :
( sdtasdt0(X0,X1) != xb
| ~ aElement0(X1) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f2061,plain,
! [X0] :
( sK16(X0) = sdtpldt0(sK17(sK16(X0)),sK18(sK16(X0)))
| ~ sP1(X0) ),
inference(resolution,[],[f252,f246]) ).
fof(f252,plain,
! [X0] :
( ~ sP0(X0)
| sdtpldt0(sK17(X0),sK18(X0)) = X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( sdtpldt0(sK17(X0),sK18(X0)) = X0
& aElementOf0(sK18(X0),slsdtgt0(xb))
& aElementOf0(sK17(X0),slsdtgt0(xa)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f148,f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
=> ( sdtpldt0(sK17(X0),sK18(X0)) = X0
& aElementOf0(sK18(X0),slsdtgt0(xb))
& aElementOf0(sK17(X0),slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
| ~ sP0(X0) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X1] :
( ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) )
| ~ sP0(X1) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X1] :
( ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1935,plain,
! [X14,X15] :
( ~ aElement0(X14)
| ~ aElement0(X15)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X15,X14)),sdtasdt0(X15,X14)) ),
inference(resolution,[],[f404,f340]) ).
fof(f1934,plain,
! [X12,X13] :
( ~ aElement0(X12)
| ~ aElement0(X13)
| sz00 = sdtpldt0(sdtasdt0(X13,X12),smndt0(sdtasdt0(X13,X12))) ),
inference(resolution,[],[f404,f339]) ).
fof(f1933,plain,
! [X10,X11] :
( ~ aElement0(X10)
| ~ aElement0(X11)
| sdtasdt0(X11,X10) = sdtasdt0(sz10,sdtasdt0(X11,X10)) ),
inference(resolution,[],[f404,f338]) ).
fof(f1932,plain,
! [X8,X9] :
( ~ aElement0(X8)
| ~ aElement0(X9)
| sdtasdt0(X9,X8) = sdtasdt0(sdtasdt0(X9,X8),sz10) ),
inference(resolution,[],[f404,f337]) ).
fof(f1931,plain,
! [X6,X7] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| sdtasdt0(X7,X6) = sdtpldt0(sz00,sdtasdt0(X7,X6)) ),
inference(resolution,[],[f404,f336]) ).
fof(f1930,plain,
! [X4,X5] :
( ~ aElement0(X4)
| ~ aElement0(X5)
| sdtasdt0(X5,X4) = sdtpldt0(sdtasdt0(X5,X4),sz00) ),
inference(resolution,[],[f404,f335]) ).
fof(f1929,plain,
! [X2,X3] :
( ~ aElement0(X2)
| ~ aElement0(X3)
| sz00 = sdtasdt0(sz00,sdtasdt0(X3,X2)) ),
inference(resolution,[],[f404,f334]) ).
fof(f1928,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ),
inference(resolution,[],[f404,f333]) ).
fof(f404,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mSortsB_02) ).
fof(f1819,plain,
! [X14,X15] :
( ~ aElement0(X14)
| ~ aElement0(X15)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X15,X14)),sdtpldt0(X15,X14)) ),
inference(resolution,[],[f403,f340]) ).
fof(f1818,plain,
! [X12,X13] :
( ~ aElement0(X12)
| ~ aElement0(X13)
| sz00 = sdtpldt0(sdtpldt0(X13,X12),smndt0(sdtpldt0(X13,X12))) ),
inference(resolution,[],[f403,f339]) ).
fof(f1817,plain,
! [X10,X11] :
( ~ aElement0(X10)
| ~ aElement0(X11)
| sdtpldt0(X11,X10) = sdtasdt0(sz10,sdtpldt0(X11,X10)) ),
inference(resolution,[],[f403,f338]) ).
fof(f1816,plain,
! [X8,X9] :
( ~ aElement0(X8)
| ~ aElement0(X9)
| sdtpldt0(X9,X8) = sdtasdt0(sdtpldt0(X9,X8),sz10) ),
inference(resolution,[],[f403,f337]) ).
fof(f1815,plain,
! [X6,X7] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| sdtpldt0(X7,X6) = sdtpldt0(sz00,sdtpldt0(X7,X6)) ),
inference(resolution,[],[f403,f336]) ).
fof(f1814,plain,
! [X4,X5] :
( ~ aElement0(X4)
| ~ aElement0(X5)
| sdtpldt0(X5,X4) = sdtpldt0(sdtpldt0(X5,X4),sz00) ),
inference(resolution,[],[f403,f335]) ).
fof(f1813,plain,
! [X2,X3] :
( ~ aElement0(X2)
| ~ aElement0(X3)
| sz00 = sdtasdt0(sz00,sdtpldt0(X3,X2)) ),
inference(resolution,[],[f403,f334]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ),
inference(resolution,[],[f403,f333]) ).
fof(f403,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mSortsB) ).
fof(f1755,plain,
! [X0,X1] :
( ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| aSet0(sdtpldt1(X1,X0)) ),
inference(resolution,[],[f393,f363]) ).
fof(f393,plain,
! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> aIdeal0(sdtpldt1(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mIdeSum) ).
fof(f1528,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl58_12 ),
inference(resolution,[],[f340,f487]) ).
fof(f1445,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl58_12 ),
inference(resolution,[],[f339,f487]) ).
fof(f1729,plain,
! [X0,X1] :
( ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| aSet0(sdtasasdt0(X1,X0)) ),
inference(resolution,[],[f392,f363]) ).
fof(f392,plain,
! [X0,X1] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> aIdeal0(sdtasasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mIdeInt) ).
fof(f366,plain,
! [X0] :
( ~ sP9(X0,sK43(X0))
| aIdeal0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ~ sP9(X0,sK43(X0))
& aElementOf0(sK43(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP9(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f206,f207]) ).
fof(f207,plain,
! [X0] :
( ? [X1] :
( ~ sP9(X0,X1)
& aElementOf0(X1,X0) )
=> ( ~ sP9(X0,sK43(X0))
& aElementOf0(sK43(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP9(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP9(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP9(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP9(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP9(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP9(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( sP9(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(definition_folding,[],[f80,f132]) ).
fof(f80,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDefIdeal) ).
fof(f1693,plain,
! [X0] :
( aElement0(sK43(X0))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(duplicate_literal_removal,[],[f1692]) ).
fof(f1692,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElement0(sK43(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f365,f330]) ).
fof(f365,plain,
! [X0] :
( aElementOf0(sK43(X0),X0)
| aIdeal0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1530,plain,
( sz00 = sdtpldt0(smndt0(xa),xa)
| ~ spl58_6 ),
inference(resolution,[],[f340,f457]) ).
fof(f364,plain,
! [X2,X0] :
( sP9(X0,X2)
| ~ aElementOf0(X2,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1447,plain,
( sz00 = sdtpldt0(xa,smndt0(xa))
| ~ spl58_6 ),
inference(resolution,[],[f339,f457]) ).
fof(f356,plain,
! [X0] :
( aNaturalNumber0(sbrdtbr0(X0))
| sz00 = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( aNaturalNumber0(sbrdtbr0(X0))
| sz00 = X0
| ~ aElement0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( aNaturalNumber0(sbrdtbr0(X0))
| sz00 = X0
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ( sz00 != X0
& aElement0(X0) )
=> aNaturalNumber0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mEucSort) ).
fof(f344,plain,
! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| doDivides0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f1563,plain,
! [X10] :
( sz00 = sdtpldt0(smndt0(sK37(sK31(X10))),sK37(sK31(X10)))
| ~ sP4(X10) ),
inference(resolution,[],[f340,f767]) ).
fof(f1562,plain,
! [X9] :
( sz00 = sdtpldt0(smndt0(sK37(sK17(X9))),sK37(sK17(X9)))
| ~ sP0(X9) ),
inference(resolution,[],[f340,f762]) ).
fof(f1558,plain,
! [X8] :
( sz00 = sdtpldt0(smndt0(sK36(sK32(X8))),sK36(sK32(X8)))
| ~ sP4(X8) ),
inference(resolution,[],[f340,f769]) ).
fof(f1557,plain,
! [X7] :
( sz00 = sdtpldt0(smndt0(sK36(sK18(X7))),sK36(sK18(X7)))
| ~ sP0(X7) ),
inference(resolution,[],[f340,f764]) ).
fof(f1544,plain,
! [X6] :
( sz00 = sdtpldt0(smndt0(sK23(X6)),sK23(X6))
| sP3(X6)
| sP2(X6) ),
inference(resolution,[],[f340,f286]) ).
fof(f1542,plain,
! [X5] :
( sz00 = sdtpldt0(smndt0(sK22(sK31(X5))),sK22(sK31(X5)))
| ~ sP4(X5) ),
inference(resolution,[],[f340,f768]) ).
fof(f1541,plain,
! [X4] :
( sz00 = sdtpldt0(smndt0(sK22(sK17(X4))),sK22(sK17(X4)))
| ~ sP0(X4) ),
inference(resolution,[],[f340,f763]) ).
fof(f1537,plain,
! [X3] :
( sz00 = sdtpldt0(smndt0(sK21(sK32(X3))),sK21(sK32(X3)))
| ~ sP4(X3) ),
inference(resolution,[],[f340,f770]) ).
fof(f1536,plain,
! [X2] :
( sz00 = sdtpldt0(smndt0(sK21(sK18(X2))),sK21(sK18(X2)))
| ~ sP0(X2) ),
inference(resolution,[],[f340,f765]) ).
fof(f1529,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f340,f332]) ).
fof(f340,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mAddInvr) ).
fof(f1480,plain,
! [X10] :
( sz00 = sdtpldt0(sK37(sK31(X10)),smndt0(sK37(sK31(X10))))
| ~ sP4(X10) ),
inference(resolution,[],[f339,f767]) ).
fof(f1479,plain,
! [X9] :
( sz00 = sdtpldt0(sK37(sK17(X9)),smndt0(sK37(sK17(X9))))
| ~ sP0(X9) ),
inference(resolution,[],[f339,f762]) ).
fof(f1475,plain,
! [X8] :
( sz00 = sdtpldt0(sK36(sK32(X8)),smndt0(sK36(sK32(X8))))
| ~ sP4(X8) ),
inference(resolution,[],[f339,f769]) ).
fof(f1474,plain,
! [X7] :
( sz00 = sdtpldt0(sK36(sK18(X7)),smndt0(sK36(sK18(X7))))
| ~ sP0(X7) ),
inference(resolution,[],[f339,f764]) ).
fof(f1461,plain,
! [X6] :
( sz00 = sdtpldt0(sK23(X6),smndt0(sK23(X6)))
| sP3(X6)
| sP2(X6) ),
inference(resolution,[],[f339,f286]) ).
fof(f1459,plain,
! [X5] :
( sz00 = sdtpldt0(sK22(sK31(X5)),smndt0(sK22(sK31(X5))))
| ~ sP4(X5) ),
inference(resolution,[],[f339,f768]) ).
fof(f1458,plain,
! [X4] :
( sz00 = sdtpldt0(sK22(sK17(X4)),smndt0(sK22(sK17(X4))))
| ~ sP0(X4) ),
inference(resolution,[],[f339,f763]) ).
fof(f1454,plain,
! [X3] :
( sz00 = sdtpldt0(sK21(sK32(X3)),smndt0(sK21(sK32(X3))))
| ~ sP4(X3) ),
inference(resolution,[],[f339,f770]) ).
fof(f1453,plain,
! [X2] :
( sz00 = sdtpldt0(sK21(sK18(X2)),smndt0(sK21(sK18(X2))))
| ~ sP0(X2) ),
inference(resolution,[],[f339,f765]) ).
fof(f1446,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aElement0(X0) ),
inference(resolution,[],[f339,f332]) ).
fof(f339,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f266,plain,
! [X0] :
( aElementOf0(sK20(X0),slsdtgt0(xb))
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f157]) ).
fof(f1147,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl58_12 ),
inference(resolution,[],[f338,f487]) ).
fof(f1084,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl58_12 ),
inference(resolution,[],[f337,f487]) ).
fof(f1026,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl58_12 ),
inference(resolution,[],[f336,f487]) ).
fof(f948,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl58_12 ),
inference(resolution,[],[f335,f487]) ).
fof(f859,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl58_12 ),
inference(resolution,[],[f334,f487]) ).
fof(f798,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl58_12 ),
inference(resolution,[],[f333,f487]) ).
fof(f265,plain,
! [X0] :
( aElementOf0(sK19(X0),slsdtgt0(xa))
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f157]) ).
fof(f1279,plain,
( xa = sdtasdt0(sz10,xa)
| ~ spl58_111 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f421,plain,
! [X0,X1] :
( sP15(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( sP15(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f110,f142,f141]) ).
fof(f141,plain,
! [X2,X1,X0] :
( sP14(X2,X1,X0)
<=> ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> sP14(X2,X1,X0) )
| ~ sP15(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> ( ! [X3] :
( ( aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0) )
=> doDivides0(X3,X2) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDefGCD) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| aDivisorOf0(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2] :
( ( sP14(X0,X1,X2)
| ( ~ doDivides0(sK57(X0,X1,X2),X0)
& aDivisorOf0(sK57(X0,X1,X2),X1)
& aDivisorOf0(sK57(X0,X1,X2),X2) )
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) )
& ( ( ! [X4] :
( doDivides0(X4,X0)
| ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X2) )
& aDivisorOf0(X0,X1)
& aDivisorOf0(X0,X2) )
| ~ sP14(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f242,f243]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ doDivides0(X3,X0)
& aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X2) )
=> ( ~ doDivides0(sK57(X0,X1,X2),X0)
& aDivisorOf0(sK57(X0,X1,X2),X1)
& aDivisorOf0(sK57(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0,X1,X2] :
( ( sP14(X0,X1,X2)
| ? [X3] :
( ~ doDivides0(X3,X0)
& aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X2) )
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) )
& ( ( ! [X4] :
( doDivides0(X4,X0)
| ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X2) )
& aDivisorOf0(X0,X1)
& aDivisorOf0(X0,X2) )
| ~ sP14(X0,X1,X2) ) ),
inference(rectify,[],[f241]) ).
fof(f241,plain,
! [X2,X1,X0] :
( ( sP14(X2,X1,X0)
| ? [X3] :
( ~ doDivides0(X3,X2)
& aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0) )
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0) )
& ( ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) )
| ~ sP14(X2,X1,X0) ) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
! [X2,X1,X0] :
( ( sP14(X2,X1,X0)
| ? [X3] :
( ~ doDivides0(X3,X2)
& aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0) )
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0) )
& ( ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) )
| ~ sP14(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f141]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| aDivisorOf0(X0,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1149,plain,
( xa = sdtasdt0(sz10,xa)
| ~ spl58_6 ),
inference(resolution,[],[f338,f457]) ).
fof(f380,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f84,f135,f134]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> sP10(X1,X0,X2) )
| ~ sP11(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDefSInt) ).
fof(f1086,plain,
( xa = sdtasdt0(xa,sz10)
| ~ spl58_6 ),
inference(resolution,[],[f337,f457]) ).
fof(f343,plain,
! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f1028,plain,
( xa = sdtpldt0(sz00,xa)
| ~ spl58_6 ),
inference(resolution,[],[f336,f457]) ).
fof(f1182,plain,
! [X10] :
( sK37(sK31(X10)) = sdtasdt0(sz10,sK37(sK31(X10)))
| ~ sP4(X10) ),
inference(resolution,[],[f338,f767]) ).
fof(f1181,plain,
! [X9] :
( sK37(sK17(X9)) = sdtasdt0(sz10,sK37(sK17(X9)))
| ~ sP0(X9) ),
inference(resolution,[],[f338,f762]) ).
fof(f1177,plain,
! [X8] :
( sK36(sK32(X8)) = sdtasdt0(sz10,sK36(sK32(X8)))
| ~ sP4(X8) ),
inference(resolution,[],[f338,f769]) ).
fof(f1176,plain,
! [X7] :
( sK36(sK18(X7)) = sdtasdt0(sz10,sK36(sK18(X7)))
| ~ sP0(X7) ),
inference(resolution,[],[f338,f764]) ).
fof(f1163,plain,
! [X6] :
( sK23(X6) = sdtasdt0(sz10,sK23(X6))
| sP3(X6)
| sP2(X6) ),
inference(resolution,[],[f338,f286]) ).
fof(f1161,plain,
! [X5] :
( sK22(sK31(X5)) = sdtasdt0(sz10,sK22(sK31(X5)))
| ~ sP4(X5) ),
inference(resolution,[],[f338,f768]) ).
fof(f1160,plain,
! [X4] :
( sK22(sK17(X4)) = sdtasdt0(sz10,sK22(sK17(X4)))
| ~ sP0(X4) ),
inference(resolution,[],[f338,f763]) ).
fof(f1156,plain,
! [X3] :
( sK21(sK32(X3)) = sdtasdt0(sz10,sK21(sK32(X3)))
| ~ sP4(X3) ),
inference(resolution,[],[f338,f770]) ).
fof(f1155,plain,
! [X2] :
( sK21(sK18(X2)) = sdtasdt0(sz10,sK21(sK18(X2)))
| ~ sP0(X2) ),
inference(resolution,[],[f338,f765]) ).
fof(f1148,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f338,f332]) ).
fof(f1119,plain,
! [X10] :
( sK37(sK31(X10)) = sdtasdt0(sK37(sK31(X10)),sz10)
| ~ sP4(X10) ),
inference(resolution,[],[f337,f767]) ).
fof(f1118,plain,
! [X9] :
( sK37(sK17(X9)) = sdtasdt0(sK37(sK17(X9)),sz10)
| ~ sP0(X9) ),
inference(resolution,[],[f337,f762]) ).
fof(f1114,plain,
! [X8] :
( sK36(sK32(X8)) = sdtasdt0(sK36(sK32(X8)),sz10)
| ~ sP4(X8) ),
inference(resolution,[],[f337,f769]) ).
fof(f1113,plain,
! [X7] :
( sK36(sK18(X7)) = sdtasdt0(sK36(sK18(X7)),sz10)
| ~ sP0(X7) ),
inference(resolution,[],[f337,f764]) ).
fof(f1100,plain,
! [X6] :
( sK23(X6) = sdtasdt0(sK23(X6),sz10)
| sP3(X6)
| sP2(X6) ),
inference(resolution,[],[f337,f286]) ).
fof(f1098,plain,
! [X5] :
( sK22(sK31(X5)) = sdtasdt0(sK22(sK31(X5)),sz10)
| ~ sP4(X5) ),
inference(resolution,[],[f337,f768]) ).
fof(f1097,plain,
! [X4] :
( sK22(sK17(X4)) = sdtasdt0(sK22(sK17(X4)),sz10)
| ~ sP0(X4) ),
inference(resolution,[],[f337,f763]) ).
fof(f1093,plain,
! [X3] :
( sK21(sK32(X3)) = sdtasdt0(sK21(sK32(X3)),sz10)
| ~ sP4(X3) ),
inference(resolution,[],[f337,f770]) ).
fof(f1092,plain,
! [X2] :
( sK21(sK18(X2)) = sdtasdt0(sK21(sK18(X2)),sz10)
| ~ sP0(X2) ),
inference(resolution,[],[f337,f765]) ).
fof(f1085,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aElement0(X0) ),
inference(resolution,[],[f337,f332]) ).
fof(f950,plain,
( xa = sdtpldt0(xa,sz00)
| ~ spl58_6 ),
inference(resolution,[],[f335,f457]) ).
fof(f1061,plain,
! [X10] :
( sK37(sK31(X10)) = sdtpldt0(sz00,sK37(sK31(X10)))
| ~ sP4(X10) ),
inference(resolution,[],[f336,f767]) ).
fof(f1060,plain,
! [X9] :
( sK37(sK17(X9)) = sdtpldt0(sz00,sK37(sK17(X9)))
| ~ sP0(X9) ),
inference(resolution,[],[f336,f762]) ).
fof(f1056,plain,
! [X8] :
( sK36(sK32(X8)) = sdtpldt0(sz00,sK36(sK32(X8)))
| ~ sP4(X8) ),
inference(resolution,[],[f336,f769]) ).
fof(f1055,plain,
! [X7] :
( sK36(sK18(X7)) = sdtpldt0(sz00,sK36(sK18(X7)))
| ~ sP0(X7) ),
inference(resolution,[],[f336,f764]) ).
fof(f1042,plain,
! [X6] :
( sK23(X6) = sdtpldt0(sz00,sK23(X6))
| sP3(X6)
| sP2(X6) ),
inference(resolution,[],[f336,f286]) ).
fof(f1040,plain,
! [X5] :
( sK22(sK31(X5)) = sdtpldt0(sz00,sK22(sK31(X5)))
| ~ sP4(X5) ),
inference(resolution,[],[f336,f768]) ).
fof(f1039,plain,
! [X4] :
( sK22(sK17(X4)) = sdtpldt0(sz00,sK22(sK17(X4)))
| ~ sP0(X4) ),
inference(resolution,[],[f336,f763]) ).
fof(f1035,plain,
! [X3] :
( sK21(sK32(X3)) = sdtpldt0(sz00,sK21(sK32(X3)))
| ~ sP4(X3) ),
inference(resolution,[],[f336,f770]) ).
fof(f1034,plain,
! [X2] :
( sK21(sK18(X2)) = sdtpldt0(sz00,sK21(sK18(X2)))
| ~ sP0(X2) ),
inference(resolution,[],[f336,f765]) ).
fof(f1027,plain,
! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f336,f332]) ).
fof(f983,plain,
! [X10] :
( sK37(sK31(X10)) = sdtpldt0(sK37(sK31(X10)),sz00)
| ~ sP4(X10) ),
inference(resolution,[],[f335,f767]) ).
fof(f982,plain,
! [X9] :
( sK37(sK17(X9)) = sdtpldt0(sK37(sK17(X9)),sz00)
| ~ sP0(X9) ),
inference(resolution,[],[f335,f762]) ).
fof(f978,plain,
! [X8] :
( sK36(sK32(X8)) = sdtpldt0(sK36(sK32(X8)),sz00)
| ~ sP4(X8) ),
inference(resolution,[],[f335,f769]) ).
fof(f977,plain,
! [X7] :
( sK36(sK18(X7)) = sdtpldt0(sK36(sK18(X7)),sz00)
| ~ sP0(X7) ),
inference(resolution,[],[f335,f764]) ).
fof(f964,plain,
! [X6] :
( sK23(X6) = sdtpldt0(sK23(X6),sz00)
| sP3(X6)
| sP2(X6) ),
inference(resolution,[],[f335,f286]) ).
fof(f962,plain,
! [X5] :
( sK22(sK31(X5)) = sdtpldt0(sK22(sK31(X5)),sz00)
| ~ sP4(X5) ),
inference(resolution,[],[f335,f768]) ).
fof(f961,plain,
! [X4] :
( sK22(sK17(X4)) = sdtpldt0(sK22(sK17(X4)),sz00)
| ~ sP0(X4) ),
inference(resolution,[],[f335,f763]) ).
fof(f957,plain,
! [X3] :
( sK21(sK32(X3)) = sdtpldt0(sK21(sK32(X3)),sz00)
| ~ sP4(X3) ),
inference(resolution,[],[f335,f770]) ).
fof(f956,plain,
! [X2] :
( sK21(sK18(X2)) = sdtpldt0(sK21(sK18(X2)),sz00)
| ~ sP0(X2) ),
inference(resolution,[],[f335,f765]) ).
fof(f949,plain,
! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aElement0(X0) ),
inference(resolution,[],[f335,f332]) ).
fof(f861,plain,
( sz00 = sdtasdt0(sz00,xa)
| ~ spl58_6 ),
inference(resolution,[],[f334,f457]) ).
fof(f800,plain,
( sz00 = sdtasdt0(xa,sz00)
| ~ spl58_6 ),
inference(resolution,[],[f333,f457]) ).
fof(f893,plain,
! [X9] :
( sz00 = sdtasdt0(sz00,sK37(sK31(X9)))
| ~ sP4(X9) ),
inference(resolution,[],[f334,f767]) ).
fof(f892,plain,
! [X8] :
( sz00 = sdtasdt0(sz00,sK37(sK17(X8)))
| ~ sP0(X8) ),
inference(resolution,[],[f334,f762]) ).
fof(f888,plain,
! [X7] :
( sz00 = sdtasdt0(sz00,sK36(sK32(X7)))
| ~ sP4(X7) ),
inference(resolution,[],[f334,f769]) ).
fof(f887,plain,
! [X6] :
( sz00 = sdtasdt0(sz00,sK36(sK18(X6)))
| ~ sP0(X6) ),
inference(resolution,[],[f334,f764]) ).
fof(f874,plain,
! [X5] :
( sz00 = sdtasdt0(sz00,sK23(X5))
| sP3(X5)
| sP2(X5) ),
inference(resolution,[],[f334,f286]) ).
fof(f872,plain,
! [X4] :
( sz00 = sdtasdt0(sz00,sK22(sK31(X4)))
| ~ sP4(X4) ),
inference(resolution,[],[f334,f768]) ).
fof(f871,plain,
! [X3] :
( sz00 = sdtasdt0(sz00,sK22(sK17(X3)))
| ~ sP0(X3) ),
inference(resolution,[],[f334,f763]) ).
fof(f867,plain,
! [X2] :
( sz00 = sdtasdt0(sz00,sK21(sK32(X2)))
| ~ sP4(X2) ),
inference(resolution,[],[f334,f770]) ).
fof(f866,plain,
! [X1] :
( sz00 = sdtasdt0(sz00,sK21(sK18(X1)))
| ~ sP0(X1) ),
inference(resolution,[],[f334,f765]) ).
fof(f860,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f334,f332]) ).
fof(f334,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mMulZero) ).
fof(f829,plain,
! [X9] :
( sz00 = sdtasdt0(sK37(sK31(X9)),sz00)
| ~ sP4(X9) ),
inference(resolution,[],[f333,f767]) ).
fof(f828,plain,
! [X8] :
( sz00 = sdtasdt0(sK37(sK17(X8)),sz00)
| ~ sP0(X8) ),
inference(resolution,[],[f333,f762]) ).
fof(f824,plain,
! [X7] :
( sz00 = sdtasdt0(sK36(sK32(X7)),sz00)
| ~ sP4(X7) ),
inference(resolution,[],[f333,f769]) ).
fof(f823,plain,
! [X6] :
( sz00 = sdtasdt0(sK36(sK18(X6)),sz00)
| ~ sP0(X6) ),
inference(resolution,[],[f333,f764]) ).
fof(f813,plain,
! [X5] :
( sz00 = sdtasdt0(sK23(X5),sz00)
| sP3(X5)
| sP2(X5) ),
inference(resolution,[],[f333,f286]) ).
fof(f811,plain,
! [X4] :
( sz00 = sdtasdt0(sK22(sK31(X4)),sz00)
| ~ sP4(X4) ),
inference(resolution,[],[f333,f768]) ).
fof(f810,plain,
! [X3] :
( sz00 = sdtasdt0(sK22(sK17(X3)),sz00)
| ~ sP0(X3) ),
inference(resolution,[],[f333,f763]) ).
fof(f806,plain,
! [X2] :
( sz00 = sdtasdt0(sK21(sK32(X2)),sz00)
| ~ sP4(X2) ),
inference(resolution,[],[f333,f770]) ).
fof(f805,plain,
! [X1] :
( sz00 = sdtasdt0(sK21(sK18(X1)),sz00)
| ~ sP0(X1) ),
inference(resolution,[],[f333,f765]) ).
fof(f799,plain,
! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aElement0(X0) ),
inference(resolution,[],[f333,f332]) ).
fof(f333,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f71]) ).
fof(f779,plain,
! [X3] :
( aElement0(sK32(X3))
| ~ aSet0(slsdtgt0(xb))
| ~ sP4(X3) ),
inference(resolution,[],[f330,f312]) ).
fof(f778,plain,
! [X2] :
( aElement0(sK18(X2))
| ~ aSet0(slsdtgt0(xb))
| ~ sP0(X2) ),
inference(resolution,[],[f330,f251]) ).
fof(f774,plain,
! [X1] :
( aElement0(sK31(X1))
| ~ aSet0(slsdtgt0(xa))
| ~ sP4(X1) ),
inference(resolution,[],[f330,f311]) ).
fof(f773,plain,
! [X0] :
( aElement0(sK17(X0))
| ~ aSet0(slsdtgt0(xa))
| ~ sP0(X0) ),
inference(resolution,[],[f330,f250]) ).
fof(f330,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mEOfElem) ).
fof(f770,plain,
! [X1] :
( aElement0(sK21(sK32(X1)))
| ~ sP4(X1) ),
inference(resolution,[],[f312,f262]) ).
fof(f769,plain,
! [X0] :
( aElement0(sK36(sK32(X0)))
| ~ sP4(X0) ),
inference(resolution,[],[f312,f319]) ).
fof(f312,plain,
! [X0] :
( aElementOf0(sK32(X0),slsdtgt0(xb))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f768,plain,
! [X1] :
( aElement0(sK22(sK31(X1)))
| ~ sP4(X1) ),
inference(resolution,[],[f311,f259]) ).
fof(f767,plain,
! [X0] :
( aElement0(sK37(sK31(X0)))
| ~ sP4(X0) ),
inference(resolution,[],[f311,f316]) ).
fof(f311,plain,
! [X0] :
( aElementOf0(sK31(X0),slsdtgt0(xa))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f765,plain,
! [X1] :
( aElement0(sK21(sK18(X1)))
| ~ sP0(X1) ),
inference(resolution,[],[f251,f262]) ).
fof(f274,plain,
! [X0] :
( ~ doDivides0(X0,xa)
| ~ aElement0(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f764,plain,
! [X0] :
( aElement0(sK36(sK18(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f251,f319]) ).
fof(f251,plain,
! [X0] :
( aElementOf0(sK18(X0),slsdtgt0(xb))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f763,plain,
! [X1] :
( aElement0(sK22(sK17(X1)))
| ~ sP0(X1) ),
inference(resolution,[],[f250,f259]) ).
fof(f762,plain,
! [X0] :
( aElement0(sK37(sK17(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f250,f316]) ).
fof(f250,plain,
! [X0] :
( aElementOf0(sK17(X0),slsdtgt0(xa))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f749,plain,
! [X0] :
( sP1(sK16(X0))
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f746,f248]) ).
fof(f746,plain,
! [X0] :
( sz00 = sK16(X0)
| sP1(sK16(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f254,f247]) ).
fof(f254,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0
| sP1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( sP1(X0)
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X0] :
( sP1(X0)
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X4,X5] :
( sdtpldt0(X4,X5) != X0
| ~ aElementOf0(X5,slsdtgt0(xb))
| ~ aElementOf0(X4,slsdtgt0(xa)) ) ) ),
inference(definition_folding,[],[f62,f120,f119]) ).
fof(f62,plain,
! [X0] :
( ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& sz00 != X1
& aElementOf0(X1,xI)
& ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) )
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X4,X5] :
( sdtpldt0(X4,X5) != X0
| ~ aElementOf0(X5,slsdtgt0(xb))
| ~ aElementOf0(X4,slsdtgt0(xa)) ) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& sz00 != X1
& aElementOf0(X1,xI)
& ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) )
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X4,X5] :
( sdtpldt0(X4,X5) != X0
| ~ aElementOf0(X5,slsdtgt0(xb))
| ~ aElementOf0(X4,slsdtgt0(xa)) ) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ? [X0] :
( ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,xI)
& ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
& sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X0
& aElementOf0(X5,slsdtgt0(xb))
& aElementOf0(X4,slsdtgt0(xa)) ) ) ),
inference(rectify,[],[f47]) ).
fof(f47,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,xI)
& ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
& sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
? [X0] :
( ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,xI)
& ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
& sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',m__) ).
fof(f308,plain,
( sP5(sK30)
| ~ sP6 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( sP5(sK30)
& sz00 != sK30
& aElementOf0(sK30,xI)
& sP4(sK30) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f172,f173]) ).
fof(f173,plain,
( ? [X0] :
( sP5(X0)
& sz00 != X0
& aElementOf0(X0,xI)
& sP4(X0) )
=> ( sP5(sK30)
& sz00 != sK30
& aElementOf0(sK30,xI)
& sP4(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X0] :
( sP5(X0)
& sz00 != X0
& aElementOf0(X0,xI)
& sP4(X0) )
| ~ sP6 ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
( ? [X3] :
( sP5(X3)
& sz00 != X3
& aElementOf0(X3,xI)
& sP4(X3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
( ? [X3] :
( sP5(X3)
& sz00 != X3
& aElementOf0(X3,xI)
& sP4(X3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f306,plain,
( aElementOf0(sK30,xI)
| ~ sP6 ),
inference(cnf_transformation,[],[f174]) ).
fof(f307,plain,
( sz00 != sK30
| ~ sP6 ),
inference(cnf_transformation,[],[f174]) ).
fof(f315,plain,
! [X0] :
( sP6
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( sP6
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) ),
inference(definition_folding,[],[f67,f127,f126,f125]) ).
fof(f67,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3))
| sz00 = X4
| ( ~ aElementOf0(X4,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
& sz00 != X3
& aElementOf0(X3,xI)
& ? [X7,X8] :
( sdtpldt0(X7,X8) = X3
& aElementOf0(X8,slsdtgt0(xb))
& aElementOf0(X7,slsdtgt0(xa)) ) )
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3))
| sz00 = X4
| ( ~ aElementOf0(X4,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
& sz00 != X3
& aElementOf0(X3,xI)
& ? [X7,X8] :
( sdtpldt0(X7,X8) = X3
& aElementOf0(X8,slsdtgt0(xb))
& aElementOf0(X7,slsdtgt0(xa)) ) )
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ? [X3] :
( ! [X4] :
( ( sz00 != X4
& ( aElementOf0(X4,xI)
| ? [X5,X6] :
( sdtpldt0(X5,X6) = X4
& aElementOf0(X6,slsdtgt0(xb))
& aElementOf0(X5,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) )
& sz00 != X3
& aElementOf0(X3,xI)
& ? [X7,X8] :
( sdtpldt0(X7,X8) = X3
& aElementOf0(X8,slsdtgt0(xb))
& aElementOf0(X7,slsdtgt0(xa)) ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ? [X1] :
( ! [X2] :
( ( sz00 != X2
& ( aElementOf0(X2,xI)
| ? [X3,X4] :
( sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
& sz00 != X1
& aElementOf0(X1,xI)
& ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',m__2351) ).
fof(f325,plain,
aElementOf0(sK33,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(cnf_transformation,[],[f187]) ).
fof(f319,plain,
! [X3] :
( ~ aElementOf0(X3,slsdtgt0(xb))
| aElement0(sK36(X3)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f316,plain,
! [X6] :
( ~ aElementOf0(X6,slsdtgt0(xa))
| aElement0(sK37(X6)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f288,plain,
! [X0] :
( doDivides0(X0,xc)
| sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f286,plain,
! [X0] :
( aElement0(sK23(X0))
| sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f269,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f157]) ).
fof(f262,plain,
! [X5] :
( ~ aElementOf0(X5,slsdtgt0(xb))
| aElement0(sK21(X5)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f259,plain,
! [X8] :
( ~ aElementOf0(X8,slsdtgt0(xa))
| aElement0(sK22(X8)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f373,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f217]) ).
fof(f304,plain,
( sz00 != xb
| sz00 != xa ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( sz00 != xb
| sz00 != xa ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',m__2110) ).
fof(f617,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f331,f363]) ).
fof(f348,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| aSet0(X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f332,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mSortsU) ).
fof(f331,plain,
! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( aElement0(X0)
=> aIdeal0(slsdtgt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mPrIdeal) ).
fof(f275,plain,
! [X0] :
( ~ aDivisorOf0(X0,xa)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f272,plain,
! [X0] :
( ~ aDivisorOf0(X0,xb)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f271,plain,
! [X0] :
( ~ doDivides0(X0,xb)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f246,plain,
! [X0] :
( sP0(sK16(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f324,plain,
sK33 = sdtpldt0(sK34,sK35),
inference(cnf_transformation,[],[f187]) ).
fof(f302,plain,
xb = sdtasdt0(xb,sK26),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( aElementOf0(xb,slsdtgt0(xb))
& xb = sdtasdt0(xb,sK26)
& aElement0(sK26)
& aElementOf0(sz00,slsdtgt0(xb))
& sz00 = sdtasdt0(xb,sK27)
& aElement0(sK27)
& aElementOf0(xa,slsdtgt0(xa))
& xa = sdtasdt0(xa,sK28)
& aElement0(sK28)
& aElementOf0(sz00,slsdtgt0(xa))
& sz00 = sdtasdt0(xa,sK29)
& aElement0(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28,sK29])],[f51,f169,f168,f167,f166]) ).
fof(f166,plain,
( ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
=> ( xb = sdtasdt0(xb,sK26)
& aElement0(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
( ? [X1] :
( sz00 = sdtasdt0(xb,X1)
& aElement0(X1) )
=> ( sz00 = sdtasdt0(xb,sK27)
& aElement0(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
=> ( xa = sdtasdt0(xa,sK28)
& aElement0(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) )
=> ( sz00 = sdtasdt0(xa,sK29)
& aElement0(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X1] :
( sz00 = sdtasdt0(xb,X1)
& aElement0(X1) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X0] :
( sz00 = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X0] :
( xa = sdtasdt0(xa,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X0] :
( sz00 = sdtasdt0(xa,X0)
& aElement0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',m__2203) ).
fof(f299,plain,
sz00 = sdtasdt0(xb,sK27),
inference(cnf_transformation,[],[f170]) ).
fof(f296,plain,
xa = sdtasdt0(xa,sK28),
inference(cnf_transformation,[],[f170]) ).
fof(f293,plain,
sz00 = sdtasdt0(xa,sK29),
inference(cnf_transformation,[],[f170]) ).
fof(f283,plain,
xb = sdtasdt0(xc,sK24),
inference(cnf_transformation,[],[f165]) ).
fof(f278,plain,
xa = sdtasdt0(xc,sK25),
inference(cnf_transformation,[],[f165]) ).
fof(f363,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f355,plain,
! [X0] :
( sP8(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( sP8(X0)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f77,f130,f129]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDefPrIdeal) ).
fof(f323,plain,
aElementOf0(sK35,slsdtgt0(xb)),
inference(cnf_transformation,[],[f187]) ).
fof(f322,plain,
aElementOf0(sK34,slsdtgt0(xa)),
inference(cnf_transformation,[],[f187]) ).
fof(f303,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f170]) ).
fof(f300,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(cnf_transformation,[],[f170]) ).
fof(f297,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(cnf_transformation,[],[f170]) ).
fof(f294,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f170]) ).
fof(f289,plain,
aGcdOfAnd0(xc,xa,xb),
inference(cnf_transformation,[],[f165]) ).
fof(f329,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
sz00 != sz10,
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mUnNeZr) ).
fof(f305,plain,
( sP4(sK30)
| ~ sP6 ),
inference(cnf_transformation,[],[f174]) ).
fof(f326,plain,
sz00 != sK33,
inference(cnf_transformation,[],[f187]) ).
fof(f285,plain,
aDivisorOf0(xc,xb),
inference(cnf_transformation,[],[f165]) ).
fof(f284,plain,
doDivides0(xc,xb),
inference(cnf_transformation,[],[f165]) ).
fof(f280,plain,
aDivisorOf0(xc,xa),
inference(cnf_transformation,[],[f165]) ).
fof(f279,plain,
doDivides0(xc,xa),
inference(cnf_transformation,[],[f165]) ).
fof(f328,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mSortsC) ).
fof(f327,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mSortsC_01) ).
fof(f301,plain,
aElement0(sK26),
inference(cnf_transformation,[],[f170]) ).
fof(f298,plain,
aElement0(sK27),
inference(cnf_transformation,[],[f170]) ).
fof(f295,plain,
aElement0(sK28),
inference(cnf_transformation,[],[f170]) ).
fof(f292,plain,
aElement0(sK29),
inference(cnf_transformation,[],[f170]) ).
fof(f291,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',m__2091) ).
fof(f290,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f282,plain,
aElement0(sK24),
inference(cnf_transformation,[],[f165]) ).
fof(f281,plain,
aElement0(xc),
inference(cnf_transformation,[],[f165]) ).
fof(f277,plain,
aElement0(sK25),
inference(cnf_transformation,[],[f165]) ).
fof(f276,plain,
aElement0(xc),
inference(cnf_transformation,[],[f165]) ).
fof(f258,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f157]) ).
fof(f255,plain,
aSet0(xI),
inference(cnf_transformation,[],[f157]) ).
fof(f426,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mAMDistr) ).
fof(f427,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f425,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mMulAsso) ).
fof(f424,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mAddAsso) ).
fof(f422,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
& ( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( aIdeal0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDefMod) ).
fof(f423,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f417,plain,
! [X2,X0,X1,X4] :
( doDivides0(X4,X0)
| ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X2)
| ~ sP14(X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f418,plain,
! [X2,X0,X1] :
( sP14(X0,X1,X2)
| aDivisorOf0(sK57(X0,X1,X2),X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f419,plain,
! [X2,X0,X1] :
( sP14(X0,X1,X2)
| aDivisorOf0(sK57(X0,X1,X2),X1)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f420,plain,
! [X2,X0,X1] :
( sP14(X0,X1,X2)
| ~ doDivides0(sK57(X0,X1,X2),X0)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f413,plain,
! [X2,X0,X1] :
( sP14(X2,X1,X0)
| ~ aGcdOfAnd0(X2,X0,X1)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( ! [X2] :
( ( aGcdOfAnd0(X2,X0,X1)
| ~ sP14(X2,X1,X0) )
& ( sP14(X2,X1,X0)
| ~ aGcdOfAnd0(X2,X0,X1) ) )
| ~ sP15(X0,X1) ),
inference(nnf_transformation,[],[f142]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ sP14(X2,X1,X0)
| aGcdOfAnd0(X2,X0,X1)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f410,plain,
! [X0,X1] :
( aElement0(sK56(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ( sdtasdt0(X0,sK56(X0,X1)) = X1
& aElement0(sK56(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f236,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aElement0(X3) )
=> ( sdtasdt0(X0,sK56(X0,X1)) = X1
& aElement0(sK56(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aElement0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDefDiv) ).
fof(f411,plain,
! [X0,X1] :
( sdtasdt0(X0,sK56(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f412,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f408,plain,
! [X0,X1] :
( aGcdOfAnd0(sz10,X0,X1)
| ~ misRelativelyPrime0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ( ( misRelativelyPrime0(X0,X1)
| ~ aGcdOfAnd0(sz10,X0,X1) )
& ( aGcdOfAnd0(sz10,X0,X1)
| ~ misRelativelyPrime0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( misRelativelyPrime0(X0,X1)
<=> aGcdOfAnd0(sz10,X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( misRelativelyPrime0(X0,X1)
<=> aGcdOfAnd0(sz10,X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( misRelativelyPrime0(X0,X1)
<=> aGcdOfAnd0(sz10,X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDefRel) ).
fof(f409,plain,
! [X0,X1] :
( ~ aGcdOfAnd0(sz10,X0,X1)
| misRelativelyPrime0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f407,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mCancel) ).
fof(f406,plain,
! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mMulComm) ).
fof(f405,plain,
! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mAddComm) ).
fof(f399,plain,
! [X0,X1] :
( aElement0(sK54(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( ( ( iLess0(sbrdtbr0(sK55(X0,X1)),sbrdtbr0(X1))
| sz00 = sK55(X0,X1) )
& sdtpldt0(sdtasdt0(sK54(X0,X1),X1),sK55(X0,X1)) = X0
& aElement0(sK55(X0,X1))
& aElement0(sK54(X0,X1)) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55])],[f94,f232]) ).
fof(f232,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
=> ( ( iLess0(sbrdtbr0(sK55(X0,X1)),sbrdtbr0(X1))
| sz00 = sK55(X0,X1) )
& sdtpldt0(sdtasdt0(sK54(X0,X1),X1),sK55(X0,X1)) = X0
& aElement0(sK55(X0,X1))
& aElement0(sK54(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( sz00 != X1
& aElement0(X1)
& aElement0(X0) )
=> ? [X2,X3] :
( ( sz00 != X3
=> iLess0(sbrdtbr0(X3),sbrdtbr0(X1)) )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDivision) ).
fof(f400,plain,
! [X0,X1] :
( aElement0(sK55(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f401,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(sK54(X0,X1),X1),sK55(X0,X1)) = X0
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f402,plain,
! [X0,X1] :
( iLess0(sbrdtbr0(sK55(X0,X1)),sbrdtbr0(X1))
| sz00 = sK55(X0,X1)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f397,plain,
! [X0,X1] :
( aElement0(sK53(X0,X1))
| sP13(X1,X0)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( sP13(X1,X0)
| ( ~ aElementOf0(sK53(X0,X1),sdtpldt1(X0,X1))
& aElement0(sK53(X0,X1)) )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f140,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtpldt1(X0,X1))
& aElement0(X2) )
=> ( ~ aElementOf0(sK53(X0,X1),sdtpldt1(X0,X1))
& aElement0(sK53(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X1] :
( sP13(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,sdtpldt1(X0,X1))
& aElement0(X2) )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(definition_folding,[],[f92,f139]) ).
fof(f139,plain,
! [X1,X0] :
( ! [X3,X4] :
( ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ sP13(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X3,X4] :
( ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ? [X2] :
( ~ aElementOf0(X2,sdtpldt1(X0,X1))
& aElement0(X2) )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X3,X4] :
( ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ? [X2] :
( ~ aElementOf0(X2,sdtpldt1(X0,X1))
& aElement0(X2) )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(X2,sdtpldt1(X0,X1)) )
=> ! [X3,X4] :
( ( aElement0(X4)
& aElement0(X3) )
=> ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) ) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(X2,sdtpldt1(X0,X1)) )
=> ! [X2,X3] :
( ( aElement0(X3)
& aElement0(X2) )
=> ? [X4] :
( sdteqdtlpzmzozddtrp0(X4,X3,X1)
& sdteqdtlpzmzozddtrp0(X4,X2,X0)
& aElement0(X4) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mChineseRemainder) ).
fof(f398,plain,
! [X0,X1] :
( sP13(X1,X0)
| ~ aElementOf0(sK53(X0,X1),sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( aElement0(sK52(X0,X1,X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2,X3),X3,X0)
& sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2,X3),X2,X1)
& aElement0(sK52(X0,X1,X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ sP13(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f227,f228]) ).
fof(f228,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sdteqdtlpzmzozddtrp0(X4,X3,X0)
& sdteqdtlpzmzozddtrp0(X4,X2,X1)
& aElement0(X4) )
=> ( sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2,X3),X3,X0)
& sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2,X3),X2,X1)
& aElement0(sK52(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
! [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( sdteqdtlpzmzozddtrp0(X4,X3,X0)
& sdteqdtlpzmzozddtrp0(X4,X2,X1)
& aElement0(X4) )
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ sP13(X0,X1) ),
inference(rectify,[],[f226]) ).
fof(f226,plain,
! [X1,X0] :
( ! [X3,X4] :
( ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ sP13(X1,X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2,X3),X2,X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2,X3),X3,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f389,plain,
! [X2,X0,X1] :
( sdtpldt1(X0,X1) != X2
| aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP12(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP12(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP12(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP12(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( sP12(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f86,f137]) ).
fof(f137,plain,
! [X1,X0,X2] :
( sP12(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mDefSSum) ).
fof(f390,plain,
! [X2,X0,X1] :
( sP12(X1,X0,X2)
| sdtpldt1(X0,X1) != X2
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f391,plain,
! [X2,X0,X1] :
( sdtpldt1(X0,X1) = X2
| ~ sP12(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f381,plain,
! [X2,X0,X1,X8] :
( aElementOf0(sK50(X0,X1,X8),X1)
| ~ aElementOf0(X8,X2)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ( sP12(X0,X1,X2)
| ( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != sK47(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK47(X0,X1,X2),X2) )
& ( ( sK47(X0,X1,X2) = sdtpldt0(sK48(X0,X1,X2),sK49(X0,X1,X2))
& aElementOf0(sK49(X0,X1,X2),X0)
& aElementOf0(sK48(X0,X1,X2),X1) )
| aElementOf0(sK47(X0,X1,X2),X2) ) ) )
& ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ( sdtpldt0(sK50(X0,X1,X8),sK51(X0,X1,X8)) = X8
& aElementOf0(sK51(X0,X1,X8),X0)
& aElementOf0(sK50(X0,X1,X8),X1) )
| ~ aElementOf0(X8,X2) ) )
| ~ sP12(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51])],[f219,f222,f221,f220]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X5,X4] :
( sdtpldt0(X4,X5) != sK47(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK47(X0,X1,X2),X2) )
& ( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK47(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(sK47(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK47(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
=> ( sK47(X0,X1,X2) = sdtpldt0(sK48(X0,X1,X2),sK49(X0,X1,X2))
& aElementOf0(sK49(X0,X1,X2),X0)
& aElementOf0(sK48(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
! [X0,X1,X8] :
( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
=> ( sdtpldt0(sK50(X0,X1,X8),sK51(X0,X1,X8)) = X8
& aElementOf0(sK51(X0,X1,X8),X0)
& aElementOf0(sK50(X0,X1,X8),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0,X1,X2] :
( ( sP12(X0,X1,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
| ~ aElementOf0(X8,X2) ) )
| ~ sP12(X0,X1,X2) ) ),
inference(rectify,[],[f218]) ).
fof(f218,plain,
! [X1,X0,X2] :
( ( sP12(X1,X0,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP12(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f382,plain,
! [X2,X0,X1,X8] :
( aElementOf0(sK51(X0,X1,X8),X0)
| ~ aElementOf0(X8,X2)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f383,plain,
! [X2,X0,X1,X8] :
( sdtpldt0(sK50(X0,X1,X8),sK51(X0,X1,X8)) = X8
| ~ aElementOf0(X8,X2)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f384,plain,
! [X2,X10,X0,X1,X8,X9] :
( aElementOf0(X8,X2)
| sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f385,plain,
! [X2,X0,X1] :
( sP12(X0,X1,X2)
| aElementOf0(sK48(X0,X1,X2),X1)
| aElementOf0(sK47(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f386,plain,
! [X2,X0,X1] :
( sP12(X0,X1,X2)
| aElementOf0(sK49(X0,X1,X2),X0)
| aElementOf0(sK47(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f387,plain,
! [X2,X0,X1] :
( sP12(X0,X1,X2)
| sK47(X0,X1,X2) = sdtpldt0(sK48(X0,X1,X2),sK49(X0,X1,X2))
| aElementOf0(sK47(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f388,plain,
! [X2,X0,X1,X4,X5] :
( sP12(X0,X1,X2)
| sdtpldt0(X4,X5) != sK47(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK47(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f376,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f217]) ).
fof(f377,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aElementOf0(sK46(X0,X1,X2),X1)
| aElementOf0(sK46(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f217]) ).
fof(f378,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aElementOf0(sK46(X0,X1,X2),X0)
| aElementOf0(sK46(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f217]) ).
fof(f379,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ aElementOf0(sK46(X0,X1,X2),X0)
| ~ aElementOf0(sK46(X0,X1,X2),X1)
| ~ aElementOf0(sK46(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f217]) ).
fof(f371,plain,
! [X2,X0,X1] :
( sdtasasdt0(X0,X1) != X2
| sP10(X1,X0,X2)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtasasdt0(X0,X1) = X2
| ~ sP10(X1,X0,X2) )
& ( sP10(X1,X0,X2)
| sdtasasdt0(X0,X1) != X2 ) )
| ~ sP11(X0,X1) ),
inference(nnf_transformation,[],[f135]) ).
fof(f372,plain,
! [X2,X0,X1] :
( ~ sP10(X1,X0,X2)
| sdtasasdt0(X0,X1) = X2
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f367,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(sK44(X0,X1),X1)
| aElementOf0(sK45(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( X0 = X1
| ( ~ aElementOf0(sK44(X0,X1),X0)
& aElementOf0(sK44(X0,X1),X1) )
| ( ~ aElementOf0(sK45(X0,X1),X1)
& aElementOf0(sK45(X0,X1),X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45])],[f82,f210,f209]) ).
fof(f209,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK44(X0,X1),X0)
& aElementOf0(sK44(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sK45(X0,X1),X1)
& aElementOf0(sK45(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(X3,X1) ) )
=> X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,X1) ) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.F2bsZhPkWf/Vampire---4.8_1164',mSetEq) ).
fof(f368,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(sK44(X0,X1),X1)
| ~ aElementOf0(sK45(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f369,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(sK44(X0,X1),X0)
| aElementOf0(sK45(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f370,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(sK44(X0,X1),X0)
| ~ aElementOf0(sK45(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f357,plain,
! [X0,X1,X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f359,plain,
! [X0,X1] :
( aElementOf0(sK42(X0,X1),X0)
| aElement0(sK41(X0,X1))
| sP9(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f360,plain,
! [X0,X1] :
( sP9(X0,X1)
| aElement0(sK41(X0,X1))
| ~ aElementOf0(sdtpldt0(X1,sK42(X0,X1)),X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f361,plain,
! [X0,X1] :
( sP9(X0,X1)
| ~ aElementOf0(sdtasdt0(sK41(X0,X1),X1),X0)
| aElementOf0(sK42(X0,X1),X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f362,plain,
! [X0,X1] :
( sP9(X0,X1)
| ~ aElementOf0(sdtasdt0(sK41(X0,X1),X1),X0)
| ~ aElementOf0(sdtpldt0(X1,sK42(X0,X1)),X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f350,plain,
! [X0,X1,X5] :
( sdtasdt0(X0,sK40(X0,X5)) = X5
| ~ aElementOf0(X5,X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f351,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| sdtasdt0(X0,X6) != X5
| ~ aElement0(X6)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f352,plain,
! [X0,X1] :
( sP7(X0,X1)
| aElement0(sK39(X0,X1))
| aElementOf0(sK38(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f353,plain,
! [X0,X1] :
( sP7(X0,X1)
| sK38(X0,X1) = sdtasdt0(X0,sK39(X0,X1))
| aElementOf0(sK38(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f354,plain,
! [X3,X0,X1] :
( sP7(X0,X1)
| sdtasdt0(X0,X3) != sK38(X0,X1)
| ~ aElement0(X3)
| ~ aElementOf0(sK38(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f318,plain,
! [X6,X7] :
( aElementOf0(X6,slsdtgt0(xa))
| sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ),
inference(cnf_transformation,[],[f187]) ).
fof(f321,plain,
! [X3,X4] :
( aElementOf0(X3,slsdtgt0(xb))
| sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f187]) ).
fof(f314,plain,
! [X2,X0,X1] :
( sP6
| sz00 = X0
| sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
| sz00 = X1
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f268,plain,
! [X2,X0,X1] :
( aElementOf0(X0,xI)
| sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f253,plain,
! [X2,X0,X1] :
( sP1(X0)
| sz00 = X0
| sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f3465,plain,
( xa != sK29
| ~ sP2(sz10)
| ~ spl58_8
| ~ spl58_12
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f3464,f487]) ).
fof(f3464,plain,
( xa != sK29
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_8
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f3367,f467]) ).
fof(f3367,plain,
( xa != sK29
| ~ aElement0(sK29)
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_119 ),
inference(superposition,[],[f273,f1319]) ).
fof(f1319,plain,
( sK29 = sdtasdt0(sz10,sK29)
| ~ spl58_119 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f3552,plain,
( ~ spl58_257
| ~ spl58_6
| ~ spl58_9
| ~ spl58_12
| ~ spl58_111
| ~ spl58_118 ),
inference(avatar_split_clause,[],[f3463,f1312,f1277,f485,f470,f455,f3543]) ).
fof(f1312,plain,
( spl58_118
<=> sK28 = sdtasdt0(sz10,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_118])]) ).
fof(f3463,plain,
( ~ sP2(sz10)
| ~ spl58_6
| ~ spl58_9
| ~ spl58_12
| ~ spl58_111
| ~ spl58_118 ),
inference(global_subsumption,[],[f3462,f253,f268,f310,f309,f314,f321,f318,f354,f353,f352,f351,f350,f362,f361,f360,f359,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f457,f327,f328,f487,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f800,f861,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f950,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1028,f343,f1086,f380,f1149,f415,f416,f421,f1279,f265,f798,f859,f948,f1026,f1084,f1147,f266,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f1447,f364,f1530,f365,f1693,f366,f392,f1729,f1445,f1528,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2151,f313,f341,f2228,f2229,f2230,f2231,f2244,f2245,f2249,f2250,f2252,f2265,f2266,f2270,f2271,f342,f2285,f2286,f2287,f2288,f2289,f2301,f2302,f2306,f2307,f2309,f2322,f2323,f2327,f2328,f346,f2352,f2353,f347,f257,f2414,f260,f2604,f2605,f2606,f263,f2630,f2631,f2632,f267,f2669,f2670,f287,f317,f2726,f2727,f2728,f320,f2772,f2773,f2774,f345,f349,f2838,f358,f2874,f2875,f2876,f2877,f2878,f2879,f2880,f2881,f2882,f2885,f2886,f374,f3033,f375,f256,f3136,f3139,f261,f3219,f264,f3249,f1326,f3264,f3265,f3266,f3267,f3268,f3269,f3270,f3271,f3272,f3273,f1327,f3274,f3275,f3276,f3277,f3278,f3279,f3280,f3281,f3282,f3283,f1365,f3284,f3285,f3286,f3287,f3288,f3289,f3290,f3291,f3292,f3293,f1366,f3294,f3295,f3296,f3297,f3298,f3299,f3300,f3301,f3302,f3303,f2232,f273,f3445]) ).
fof(f3462,plain,
( xa != sK28
| ~ sP2(sz10)
| ~ spl58_9
| ~ spl58_12
| ~ spl58_118 ),
inference(subsumption_resolution,[],[f3461,f487]) ).
fof(f3461,plain,
( xa != sK28
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_9
| ~ spl58_118 ),
inference(subsumption_resolution,[],[f3366,f472]) ).
fof(f3366,plain,
( xa != sK28
| ~ aElement0(sK28)
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_118 ),
inference(superposition,[],[f273,f1314]) ).
fof(f1314,plain,
( sK28 = sdtasdt0(sz10,sK28)
| ~ spl58_118 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f3551,plain,
( ~ spl58_257
| ~ spl58_6
| ~ spl58_10
| ~ spl58_12
| ~ spl58_111
| ~ spl58_117 ),
inference(avatar_split_clause,[],[f3460,f1307,f1277,f485,f475,f455,f3543]) ).
fof(f1307,plain,
( spl58_117
<=> sK27 = sdtasdt0(sz10,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_117])]) ).
fof(f3460,plain,
( ~ sP2(sz10)
| ~ spl58_6
| ~ spl58_10
| ~ spl58_12
| ~ spl58_111
| ~ spl58_117 ),
inference(global_subsumption,[],[f3459,f253,f268,f310,f309,f314,f321,f318,f354,f353,f352,f351,f350,f362,f361,f360,f359,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f457,f327,f328,f487,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f800,f861,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f950,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1028,f343,f1086,f380,f1149,f415,f416,f421,f1279,f265,f798,f859,f948,f1026,f1084,f1147,f266,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f1447,f364,f1530,f365,f1693,f366,f392,f1729,f1445,f1528,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2151,f313,f341,f2228,f2229,f2230,f2231,f2244,f2245,f2249,f2250,f2252,f2265,f2266,f2270,f2271,f342,f2285,f2286,f2287,f2288,f2289,f2301,f2302,f2306,f2307,f2309,f2322,f2323,f2327,f2328,f346,f2352,f2353,f347,f257,f2414,f260,f2604,f2605,f2606,f263,f2630,f2631,f2632,f267,f2669,f2670,f287,f317,f2726,f2727,f2728,f320,f2772,f2773,f2774,f345,f349,f2838,f358,f2874,f2875,f2876,f2877,f2878,f2879,f2880,f2881,f2882,f2885,f2886,f374,f3033,f375,f256,f3136,f3139,f261,f3219,f264,f3249,f1326,f3264,f3265,f3266,f3267,f3268,f3269,f3270,f3271,f3272,f3273,f1327,f3274,f3275,f3276,f3277,f3278,f3279,f3280,f3281,f3282,f3283,f1365,f3284,f3285,f3286,f3287,f3288,f3289,f3290,f3291,f3292,f3293,f1366,f3294,f3295,f3296,f3297,f3298,f3299,f3300,f3301,f3302,f3303,f2232,f273,f3445]) ).
fof(f3459,plain,
( xa != sK27
| ~ sP2(sz10)
| ~ spl58_10
| ~ spl58_12
| ~ spl58_117 ),
inference(subsumption_resolution,[],[f3458,f487]) ).
fof(f3458,plain,
( xa != sK27
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_10
| ~ spl58_117 ),
inference(subsumption_resolution,[],[f3365,f477]) ).
fof(f3365,plain,
( xa != sK27
| ~ aElement0(sK27)
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_117 ),
inference(superposition,[],[f273,f1309]) ).
fof(f1309,plain,
( sK27 = sdtasdt0(sz10,sK27)
| ~ spl58_117 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f3550,plain,
( ~ spl58_257
| ~ spl58_6
| ~ spl58_11
| ~ spl58_12
| ~ spl58_111
| ~ spl58_116 ),
inference(avatar_split_clause,[],[f3457,f1302,f1277,f485,f480,f455,f3543]) ).
fof(f1302,plain,
( spl58_116
<=> sK26 = sdtasdt0(sz10,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_116])]) ).
fof(f3457,plain,
( ~ sP2(sz10)
| ~ spl58_6
| ~ spl58_11
| ~ spl58_12
| ~ spl58_111
| ~ spl58_116 ),
inference(global_subsumption,[],[f3456,f253,f268,f310,f309,f314,f321,f318,f354,f353,f352,f351,f350,f362,f361,f360,f359,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f457,f327,f328,f487,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f800,f861,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f950,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1028,f343,f1086,f380,f1149,f415,f416,f421,f1279,f265,f798,f859,f948,f1026,f1084,f1147,f266,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f1447,f364,f1530,f365,f1693,f366,f392,f1729,f1445,f1528,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2151,f313,f341,f2228,f2229,f2230,f2231,f2244,f2245,f2249,f2250,f2252,f2265,f2266,f2270,f2271,f342,f2285,f2286,f2287,f2288,f2289,f2301,f2302,f2306,f2307,f2309,f2322,f2323,f2327,f2328,f346,f2352,f2353,f347,f257,f2414,f260,f2604,f2605,f2606,f263,f2630,f2631,f2632,f267,f2669,f2670,f287,f317,f2726,f2727,f2728,f320,f2772,f2773,f2774,f345,f349,f2838,f358,f2874,f2875,f2876,f2877,f2878,f2879,f2880,f2881,f2882,f2885,f2886,f374,f3033,f375,f256,f3136,f3139,f261,f3219,f264,f3249,f1326,f3264,f3265,f3266,f3267,f3268,f3269,f3270,f3271,f3272,f3273,f1327,f3274,f3275,f3276,f3277,f3278,f3279,f3280,f3281,f3282,f3283,f1365,f3284,f3285,f3286,f3287,f3288,f3289,f3290,f3291,f3292,f3293,f1366,f3294,f3295,f3296,f3297,f3298,f3299,f3300,f3301,f3302,f3303,f2232,f273,f3445]) ).
fof(f3456,plain,
( xa != sK26
| ~ sP2(sz10)
| ~ spl58_11
| ~ spl58_12
| ~ spl58_116 ),
inference(subsumption_resolution,[],[f3455,f487]) ).
fof(f3455,plain,
( xa != sK26
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_11
| ~ spl58_116 ),
inference(subsumption_resolution,[],[f3364,f482]) ).
fof(f3364,plain,
( xa != sK26
| ~ aElement0(sK26)
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_116 ),
inference(superposition,[],[f273,f1304]) ).
fof(f1304,plain,
( sK26 = sdtasdt0(sz10,sK26)
| ~ spl58_116 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f3549,plain,
( ~ spl58_257
| ~ spl58_4
| ~ spl58_6
| ~ spl58_12
| ~ spl58_111
| ~ spl58_115 ),
inference(avatar_split_clause,[],[f3454,f1297,f1277,f485,f455,f444,f3543]) ).
fof(f1297,plain,
( spl58_115
<=> sK25 = sdtasdt0(sz10,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_115])]) ).
fof(f3454,plain,
( ~ sP2(sz10)
| ~ spl58_4
| ~ spl58_6
| ~ spl58_12
| ~ spl58_111
| ~ spl58_115 ),
inference(global_subsumption,[],[f3453,f253,f268,f310,f309,f314,f321,f318,f354,f353,f352,f351,f350,f362,f361,f360,f359,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f457,f327,f328,f487,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f800,f861,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f950,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1028,f343,f1086,f380,f1149,f415,f416,f421,f1279,f265,f798,f859,f948,f1026,f1084,f1147,f266,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f1447,f364,f1530,f365,f1693,f366,f392,f1729,f1445,f1528,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2151,f313,f341,f2228,f2229,f2230,f2231,f2244,f2245,f2249,f2250,f2252,f2265,f2266,f2270,f2271,f342,f2285,f2286,f2287,f2288,f2289,f2301,f2302,f2306,f2307,f2309,f2322,f2323,f2327,f2328,f346,f2352,f2353,f347,f257,f2414,f260,f2604,f2605,f2606,f263,f2630,f2631,f2632,f267,f2669,f2670,f287,f317,f2726,f2727,f2728,f320,f2772,f2773,f2774,f345,f349,f2838,f358,f2874,f2875,f2876,f2877,f2878,f2879,f2880,f2881,f2882,f2885,f2886,f374,f3033,f375,f256,f3136,f3139,f261,f3219,f264,f3249,f1326,f3264,f3265,f3266,f3267,f3268,f3269,f3270,f3271,f3272,f3273,f1327,f3274,f3275,f3276,f3277,f3278,f3279,f3280,f3281,f3282,f3283,f1365,f3284,f3285,f3286,f3287,f3288,f3289,f3290,f3291,f3292,f3293,f1366,f3294,f3295,f3296,f3297,f3298,f3299,f3300,f3301,f3302,f3303,f2232,f273,f3445]) ).
fof(f3453,plain,
( xa != sK25
| ~ sP2(sz10)
| ~ spl58_4
| ~ spl58_12
| ~ spl58_115 ),
inference(subsumption_resolution,[],[f3452,f487]) ).
fof(f3452,plain,
( xa != sK25
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_4
| ~ spl58_115 ),
inference(subsumption_resolution,[],[f3363,f446]) ).
fof(f3363,plain,
( xa != sK25
| ~ aElement0(sK25)
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_115 ),
inference(superposition,[],[f273,f1299]) ).
fof(f1299,plain,
( sK25 = sdtasdt0(sz10,sK25)
| ~ spl58_115 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f3548,plain,
( ~ spl58_257
| ~ spl58_5
| ~ spl58_6
| ~ spl58_12
| ~ spl58_111
| ~ spl58_114 ),
inference(avatar_split_clause,[],[f3451,f1292,f1277,f485,f455,f450,f3543]) ).
fof(f1292,plain,
( spl58_114
<=> sK24 = sdtasdt0(sz10,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_114])]) ).
fof(f3451,plain,
( ~ sP2(sz10)
| ~ spl58_5
| ~ spl58_6
| ~ spl58_12
| ~ spl58_111
| ~ spl58_114 ),
inference(global_subsumption,[],[f3450,f253,f268,f310,f309,f314,f321,f318,f354,f353,f352,f351,f350,f362,f361,f360,f359,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f457,f327,f328,f487,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f800,f861,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f950,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1028,f343,f1086,f380,f1149,f415,f416,f421,f1279,f265,f798,f859,f948,f1026,f1084,f1147,f266,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f1447,f364,f1530,f365,f1693,f366,f392,f1729,f1445,f1528,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2151,f313,f341,f2228,f2229,f2230,f2231,f2244,f2245,f2249,f2250,f2252,f2265,f2266,f2270,f2271,f342,f2285,f2286,f2287,f2288,f2289,f2301,f2302,f2306,f2307,f2309,f2322,f2323,f2327,f2328,f346,f2352,f2353,f347,f257,f2414,f260,f2604,f2605,f2606,f263,f2630,f2631,f2632,f267,f2669,f2670,f287,f317,f2726,f2727,f2728,f320,f2772,f2773,f2774,f345,f349,f2838,f358,f2874,f2875,f2876,f2877,f2878,f2879,f2880,f2881,f2882,f2885,f2886,f374,f3033,f375,f256,f3136,f3139,f261,f3219,f264,f3249,f1326,f3264,f3265,f3266,f3267,f3268,f3269,f3270,f3271,f3272,f3273,f1327,f3274,f3275,f3276,f3277,f3278,f3279,f3280,f3281,f3282,f3283,f1365,f3284,f3285,f3286,f3287,f3288,f3289,f3290,f3291,f3292,f3293,f1366,f3294,f3295,f3296,f3297,f3298,f3299,f3300,f3301,f3302,f3303,f2232,f273,f3445]) ).
fof(f3450,plain,
( xa != sK24
| ~ sP2(sz10)
| ~ spl58_5
| ~ spl58_12
| ~ spl58_114 ),
inference(subsumption_resolution,[],[f3449,f487]) ).
fof(f3449,plain,
( xa != sK24
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_5
| ~ spl58_114 ),
inference(subsumption_resolution,[],[f3362,f452]) ).
fof(f3362,plain,
( xa != sK24
| ~ aElement0(sK24)
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_114 ),
inference(superposition,[],[f273,f1294]) ).
fof(f1294,plain,
( sK24 = sdtasdt0(sz10,sK24)
| ~ spl58_114 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f3547,plain,
( ~ spl58_257
| ~ spl58_3
| ~ spl58_6
| ~ spl58_12
| ~ spl58_111
| ~ spl58_113 ),
inference(avatar_split_clause,[],[f3448,f1287,f1277,f485,f455,f439,f3543]) ).
fof(f1287,plain,
( spl58_113
<=> xc = sdtasdt0(sz10,xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_113])]) ).
fof(f3448,plain,
( ~ sP2(sz10)
| ~ spl58_3
| ~ spl58_6
| ~ spl58_12
| ~ spl58_111
| ~ spl58_113 ),
inference(global_subsumption,[],[f3447,f253,f268,f310,f309,f314,f321,f318,f354,f353,f352,f351,f350,f362,f361,f360,f359,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f457,f327,f328,f487,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f800,f861,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f950,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1028,f343,f1086,f380,f1149,f415,f416,f421,f1279,f265,f798,f859,f948,f1026,f1084,f1147,f266,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f1447,f364,f1530,f365,f1693,f366,f392,f1729,f1445,f1528,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2151,f313,f341,f2228,f2229,f2230,f2231,f2244,f2245,f2249,f2250,f2252,f2265,f2266,f2270,f2271,f342,f2285,f2286,f2287,f2288,f2289,f2301,f2302,f2306,f2307,f2309,f2322,f2323,f2327,f2328,f346,f2352,f2353,f347,f257,f2414,f260,f2604,f2605,f2606,f263,f2630,f2631,f2632,f267,f2669,f2670,f287,f317,f2726,f2727,f2728,f320,f2772,f2773,f2774,f345,f349,f2838,f358,f2874,f2875,f2876,f2877,f2878,f2879,f2880,f2881,f2882,f2885,f2886,f374,f3033,f375,f256,f3136,f3139,f261,f3219,f264,f3249,f1326,f3264,f3265,f3266,f3267,f3268,f3269,f3270,f3271,f3272,f3273,f1327,f3274,f3275,f3276,f3277,f3278,f3279,f3280,f3281,f3282,f3283,f1365,f3284,f3285,f3286,f3287,f3288,f3289,f3290,f3291,f3292,f3293,f1366,f3294,f3295,f3296,f3297,f3298,f3299,f3300,f3301,f3302,f3303,f2232,f273,f3445]) ).
fof(f3447,plain,
( xa != xc
| ~ sP2(sz10)
| ~ spl58_3
| ~ spl58_12
| ~ spl58_113 ),
inference(subsumption_resolution,[],[f3446,f487]) ).
fof(f3446,plain,
( xa != xc
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_3
| ~ spl58_113 ),
inference(subsumption_resolution,[],[f3361,f441]) ).
fof(f3361,plain,
( xa != xc
| ~ aElement0(xc)
| ~ aElement0(sz10)
| ~ sP2(sz10)
| ~ spl58_113 ),
inference(superposition,[],[f273,f1289]) ).
fof(f1289,plain,
( xc = sdtasdt0(sz10,xc)
| ~ spl58_113 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f3546,plain,
( ~ spl58_257
| ~ spl58_6
| ~ spl58_12
| ~ spl58_111 ),
inference(avatar_split_clause,[],[f3445,f1277,f485,f455,f3543]) ).
fof(f3541,plain,
( ~ spl58_256
| ~ spl58_6
| ~ spl58_9
| ~ spl58_32 ),
inference(avatar_split_clause,[],[f3487,f585,f470,f455,f3538]) ).
fof(f3538,plain,
( spl58_256
<=> sP2(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_256])]) ).
fof(f585,plain,
( spl58_32
<=> xa = sdtasdt0(xa,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_32])]) ).
fof(f3487,plain,
( ~ sP2(xa)
| ~ spl58_6
| ~ spl58_9
| ~ spl58_32 ),
inference(subsumption_resolution,[],[f3486,f457]) ).
fof(f3486,plain,
( ~ aElement0(xa)
| ~ sP2(xa)
| ~ spl58_9
| ~ spl58_32 ),
inference(subsumption_resolution,[],[f3437,f472]) ).
fof(f3437,plain,
( ~ aElement0(sK28)
| ~ aElement0(xa)
| ~ sP2(xa)
| ~ spl58_32 ),
inference(trivial_inequality_removal,[],[f3377]) ).
fof(f3377,plain,
( xa != xa
| ~ aElement0(sK28)
| ~ aElement0(xa)
| ~ sP2(xa)
| ~ spl58_32 ),
inference(superposition,[],[f273,f587]) ).
fof(f587,plain,
( xa = sdtasdt0(xa,sK28)
| ~ spl58_32 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f3323,plain,
( spl58_255
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f2253,f450,f3320]) ).
fof(f3320,plain,
( spl58_255
<=> smndt0(sK24) = sdtasdt0(smndt0(sz10),sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_255])]) ).
fof(f2253,plain,
( smndt0(sK24) = sdtasdt0(smndt0(sz10),sK24)
| ~ spl58_5 ),
inference(resolution,[],[f341,f452]) ).
fof(f3318,plain,
( spl58_254
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f2234,f439,f3315]) ).
fof(f3315,plain,
( spl58_254
<=> smndt0(xc) = sdtasdt0(smndt0(sz10),xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_254])]) ).
fof(f2234,plain,
( smndt0(xc) = sdtasdt0(smndt0(sz10),xc)
| ~ spl58_3 ),
inference(resolution,[],[f341,f441]) ).
fof(f3313,plain,
( spl58_253
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f2233,f460,f3310]) ).
fof(f3310,plain,
( spl58_253
<=> smndt0(xb) = sdtasdt0(smndt0(sz10),xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_253])]) ).
fof(f2233,plain,
( smndt0(xb) = sdtasdt0(smndt0(sz10),xb)
| ~ spl58_7 ),
inference(resolution,[],[f341,f462]) ).
fof(f3308,plain,
( spl58_252
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f2232,f455,f3305]) ).
fof(f3305,plain,
( spl58_252
<=> smndt0(xa) = sdtasdt0(smndt0(sz10),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_252])]) ).
fof(f2861,plain,
( spl58_251
| ~ spl58_223 ),
inference(avatar_split_clause,[],[f2593,f2578,f2858]) ).
fof(f2858,plain,
( spl58_251
<=> sz00 = sdtasdt0(sz00,sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_251])]) ).
fof(f2578,plain,
( spl58_223
<=> aElement0(sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_223])]) ).
fof(f2593,plain,
( sz00 = sdtasdt0(sz00,sK19(sz00))
| ~ spl58_223 ),
inference(resolution,[],[f2580,f334]) ).
fof(f2580,plain,
( aElement0(sK19(sz00))
| ~ spl58_223 ),
inference(avatar_component_clause,[],[f2578]) ).
fof(f2856,plain,
( spl58_250
| ~ spl58_223 ),
inference(avatar_split_clause,[],[f2592,f2578,f2853]) ).
fof(f2853,plain,
( spl58_250
<=> sz00 = sdtasdt0(sK19(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_250])]) ).
fof(f2592,plain,
( sz00 = sdtasdt0(sK19(sz00),sz00)
| ~ spl58_223 ),
inference(resolution,[],[f2580,f333]) ).
fof(f2851,plain,
( spl58_249
| ~ spl58_222 ),
inference(avatar_split_clause,[],[f2583,f2573,f2848]) ).
fof(f2848,plain,
( spl58_249
<=> sz00 = sdtasdt0(sz00,sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_249])]) ).
fof(f2573,plain,
( spl58_222
<=> aElement0(sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_222])]) ).
fof(f2583,plain,
( sz00 = sdtasdt0(sz00,sK20(sz00))
| ~ spl58_222 ),
inference(resolution,[],[f2575,f334]) ).
fof(f2575,plain,
( aElement0(sK20(sz00))
| ~ spl58_222 ),
inference(avatar_component_clause,[],[f2573]) ).
fof(f2846,plain,
( spl58_248
| ~ spl58_222 ),
inference(avatar_split_clause,[],[f2582,f2573,f2843]) ).
fof(f2843,plain,
( spl58_248
<=> sz00 = sdtasdt0(sK20(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_248])]) ).
fof(f2582,plain,
( sz00 = sdtasdt0(sK20(sz00),sz00)
| ~ spl58_222 ),
inference(resolution,[],[f2575,f333]) ).
fof(f2821,plain,
( spl58_247
| spl58_36
| spl58_37 ),
inference(avatar_split_clause,[],[f2719,f613,f606,f2818]) ).
fof(f2818,plain,
( spl58_247
<=> xc = sdtasdt0(xc,sK23(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_247])]) ).
fof(f606,plain,
( spl58_36
<=> sP3(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_36])]) ).
fof(f613,plain,
( spl58_37
<=> sP2(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_37])]) ).
fof(f2719,plain,
( xc = sdtasdt0(xc,sK23(xc))
| spl58_36
| spl58_37 ),
inference(subsumption_resolution,[],[f2718,f615]) ).
fof(f615,plain,
( ~ sP2(xc)
| spl58_37 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f2718,plain,
( xc = sdtasdt0(xc,sK23(xc))
| sP2(xc)
| spl58_36 ),
inference(resolution,[],[f287,f608]) ).
fof(f608,plain,
( ~ sP3(xc)
| spl58_36 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f2806,plain,
( ~ spl58_246
| ~ spl58_7
| spl58_227
| ~ spl58_244 ),
inference(avatar_split_clause,[],[f2801,f2784,f2624,f460,f2803]) ).
fof(f2803,plain,
( spl58_246
<=> aElementOf0(sK36(xb),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_246])]) ).
fof(f2624,plain,
( spl58_227
<=> aElementOf0(xb,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_227])]) ).
fof(f2784,plain,
( spl58_244
<=> xb = sdtasdt0(xb,sK36(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_244])]) ).
fof(f2801,plain,
( ~ aElementOf0(sK36(xb),xI)
| ~ spl58_7
| spl58_227
| ~ spl58_244 ),
inference(subsumption_resolution,[],[f2800,f462]) ).
fof(f2800,plain,
( ~ aElement0(xb)
| ~ aElementOf0(sK36(xb),xI)
| spl58_227
| ~ spl58_244 ),
inference(subsumption_resolution,[],[f2796,f2625]) ).
fof(f2625,plain,
( ~ aElementOf0(xb,xI)
| spl58_227 ),
inference(avatar_component_clause,[],[f2624]) ).
fof(f2796,plain,
( aElementOf0(xb,xI)
| ~ aElement0(xb)
| ~ aElementOf0(sK36(xb),xI)
| ~ spl58_244 ),
inference(superposition,[],[f257,f2786]) ).
fof(f2786,plain,
( xb = sdtasdt0(xb,sK36(xb))
| ~ spl58_244 ),
inference(avatar_component_clause,[],[f2784]) ).
fof(f2792,plain,
( spl58_245
| ~ spl58_28 ),
inference(avatar_split_clause,[],[f2775,f564,f2789]) ).
fof(f564,plain,
( spl58_28
<=> aElementOf0(sK35,slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_28])]) ).
fof(f2775,plain,
( sK35 = sdtasdt0(xb,sK36(sK35))
| ~ spl58_28 ),
inference(resolution,[],[f320,f566]) ).
fof(f566,plain,
( aElementOf0(sK35,slsdtgt0(xb))
| ~ spl58_28 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f2787,plain,
( spl58_244
| ~ spl58_26 ),
inference(avatar_split_clause,[],[f2771,f554,f2784]) ).
fof(f554,plain,
( spl58_26
<=> aElementOf0(xb,slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_26])]) ).
fof(f2771,plain,
( xb = sdtasdt0(xb,sK36(xb))
| ~ spl58_26 ),
inference(resolution,[],[f320,f556]) ).
fof(f556,plain,
( aElementOf0(xb,slsdtgt0(xb))
| ~ spl58_26 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f2782,plain,
( spl58_243
| ~ spl58_25 ),
inference(avatar_split_clause,[],[f2770,f549,f2779]) ).
fof(f2779,plain,
( spl58_243
<=> sz00 = sdtasdt0(xb,sK36(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_243])]) ).
fof(f549,plain,
( spl58_25
<=> aElementOf0(sz00,slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_25])]) ).
fof(f2770,plain,
( sz00 = sdtasdt0(xb,sK36(sz00))
| ~ spl58_25 ),
inference(resolution,[],[f320,f551]) ).
fof(f551,plain,
( aElementOf0(sz00,slsdtgt0(xb))
| ~ spl58_25 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f2769,plain,
( ~ spl58_242
| ~ spl58_6
| ~ spl58_102
| spl58_225 ),
inference(avatar_split_clause,[],[f2764,f2615,f1232,f455,f2766]) ).
fof(f2766,plain,
( spl58_242
<=> aElementOf0(sz10,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_242])]) ).
fof(f1232,plain,
( spl58_102
<=> xa = sdtasdt0(xa,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_102])]) ).
fof(f2615,plain,
( spl58_225
<=> aElementOf0(xa,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_225])]) ).
fof(f2764,plain,
( ~ aElementOf0(sz10,xI)
| ~ spl58_6
| ~ spl58_102
| spl58_225 ),
inference(subsumption_resolution,[],[f2543,f2616]) ).
fof(f2616,plain,
( ~ aElementOf0(xa,xI)
| spl58_225 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f2543,plain,
( aElementOf0(xa,xI)
| ~ aElementOf0(sz10,xI)
| ~ spl58_6
| ~ spl58_102 ),
inference(subsumption_resolution,[],[f2460,f457]) ).
fof(f2460,plain,
( aElementOf0(xa,xI)
| ~ aElement0(xa)
| ~ aElementOf0(sz10,xI)
| ~ spl58_102 ),
inference(superposition,[],[f257,f1234]) ).
fof(f1234,plain,
( xa = sdtasdt0(xa,sz10)
| ~ spl58_102 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f2759,plain,
( ~ spl58_241
| ~ spl58_6
| spl58_225
| ~ spl58_239 ),
inference(avatar_split_clause,[],[f2754,f2738,f2615,f455,f2756]) ).
fof(f2756,plain,
( spl58_241
<=> aElementOf0(sK37(xa),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_241])]) ).
fof(f2738,plain,
( spl58_239
<=> xa = sdtasdt0(xa,sK37(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_239])]) ).
fof(f2754,plain,
( ~ aElementOf0(sK37(xa),xI)
| ~ spl58_6
| spl58_225
| ~ spl58_239 ),
inference(subsumption_resolution,[],[f2753,f457]) ).
fof(f2753,plain,
( ~ aElement0(xa)
| ~ aElementOf0(sK37(xa),xI)
| spl58_225
| ~ spl58_239 ),
inference(subsumption_resolution,[],[f2750,f2616]) ).
fof(f2750,plain,
( aElementOf0(xa,xI)
| ~ aElement0(xa)
| ~ aElementOf0(sK37(xa),xI)
| ~ spl58_239 ),
inference(superposition,[],[f257,f2740]) ).
fof(f2740,plain,
( xa = sdtasdt0(xa,sK37(xa))
| ~ spl58_239 ),
inference(avatar_component_clause,[],[f2738]) ).
fof(f2746,plain,
( spl58_240
| ~ spl58_27 ),
inference(avatar_split_clause,[],[f2729,f559,f2743]) ).
fof(f559,plain,
( spl58_27
<=> aElementOf0(sK34,slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_27])]) ).
fof(f2729,plain,
( sK34 = sdtasdt0(xa,sK37(sK34))
| ~ spl58_27 ),
inference(resolution,[],[f317,f561]) ).
fof(f561,plain,
( aElementOf0(sK34,slsdtgt0(xa))
| ~ spl58_27 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f2741,plain,
( spl58_239
| ~ spl58_24 ),
inference(avatar_split_clause,[],[f2725,f544,f2738]) ).
fof(f544,plain,
( spl58_24
<=> aElementOf0(xa,slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_24])]) ).
fof(f2725,plain,
( xa = sdtasdt0(xa,sK37(xa))
| ~ spl58_24 ),
inference(resolution,[],[f317,f546]) ).
fof(f546,plain,
( aElementOf0(xa,slsdtgt0(xa))
| ~ spl58_24 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f2736,plain,
( spl58_238
| ~ spl58_23 ),
inference(avatar_split_clause,[],[f2724,f539,f2733]) ).
fof(f2733,plain,
( spl58_238
<=> sz00 = sdtasdt0(xa,sK37(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_238])]) ).
fof(f539,plain,
( spl58_23
<=> aElementOf0(sz00,slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_23])]) ).
fof(f2724,plain,
( sz00 = sdtasdt0(xa,sK37(sz00))
| ~ spl58_23 ),
inference(resolution,[],[f317,f541]) ).
fof(f541,plain,
( aElementOf0(sz00,slsdtgt0(xa))
| ~ spl58_23 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f2714,plain,
( ~ spl58_237
| ~ spl58_7
| spl58_227
| ~ spl58_234 ),
inference(avatar_split_clause,[],[f2709,f2675,f2624,f460,f2711]) ).
fof(f2711,plain,
( spl58_237
<=> aElementOf0(sK21(xb),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_237])]) ).
fof(f2675,plain,
( spl58_234
<=> xb = sdtasdt0(xb,sK21(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_234])]) ).
fof(f2709,plain,
( ~ aElementOf0(sK21(xb),xI)
| ~ spl58_7
| spl58_227
| ~ spl58_234 ),
inference(subsumption_resolution,[],[f2708,f462]) ).
fof(f2708,plain,
( ~ aElement0(xb)
| ~ aElementOf0(sK21(xb),xI)
| spl58_227
| ~ spl58_234 ),
inference(subsumption_resolution,[],[f2704,f2625]) ).
fof(f2704,plain,
( aElementOf0(xb,xI)
| ~ aElement0(xb)
| ~ aElementOf0(sK21(xb),xI)
| ~ spl58_234 ),
inference(superposition,[],[f257,f2677]) ).
fof(f2677,plain,
( xb = sdtasdt0(xb,sK21(xb))
| ~ spl58_234 ),
inference(avatar_component_clause,[],[f2675]) ).
fof(f2696,plain,
( ~ spl58_236
| ~ spl58_6
| spl58_225
| ~ spl58_231 ),
inference(avatar_split_clause,[],[f2691,f2654,f2615,f455,f2693]) ).
fof(f2693,plain,
( spl58_236
<=> aElementOf0(sK22(xa),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_236])]) ).
fof(f2654,plain,
( spl58_231
<=> xa = sdtasdt0(xa,sK22(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_231])]) ).
fof(f2691,plain,
( ~ aElementOf0(sK22(xa),xI)
| ~ spl58_6
| spl58_225
| ~ spl58_231 ),
inference(subsumption_resolution,[],[f2690,f457]) ).
fof(f2690,plain,
( ~ aElement0(xa)
| ~ aElementOf0(sK22(xa),xI)
| spl58_225
| ~ spl58_231 ),
inference(subsumption_resolution,[],[f2687,f2616]) ).
fof(f2687,plain,
( aElementOf0(xa,xI)
| ~ aElement0(xa)
| ~ aElementOf0(sK22(xa),xI)
| ~ spl58_231 ),
inference(superposition,[],[f257,f2656]) ).
fof(f2656,plain,
( xa = sdtasdt0(xa,sK22(xa))
| ~ spl58_231 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f2683,plain,
( spl58_235
| ~ spl58_28 ),
inference(avatar_split_clause,[],[f2633,f564,f2680]) ).
fof(f2633,plain,
( sK35 = sdtasdt0(xb,sK21(sK35))
| ~ spl58_28 ),
inference(resolution,[],[f263,f566]) ).
fof(f2678,plain,
( spl58_234
| ~ spl58_26 ),
inference(avatar_split_clause,[],[f2629,f554,f2675]) ).
fof(f2629,plain,
( xb = sdtasdt0(xb,sK21(xb))
| ~ spl58_26 ),
inference(resolution,[],[f263,f556]) ).
fof(f2667,plain,
( spl58_233
| ~ spl58_25 ),
inference(avatar_split_clause,[],[f2628,f549,f2664]) ).
fof(f2664,plain,
( spl58_233
<=> sz00 = sdtasdt0(xb,sK21(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_233])]) ).
fof(f2628,plain,
( sz00 = sdtasdt0(xb,sK21(sz00))
| ~ spl58_25 ),
inference(resolution,[],[f263,f551]) ).
fof(f2662,plain,
( spl58_232
| ~ spl58_27 ),
inference(avatar_split_clause,[],[f2607,f559,f2659]) ).
fof(f2607,plain,
( sK34 = sdtasdt0(xa,sK22(sK34))
| ~ spl58_27 ),
inference(resolution,[],[f260,f561]) ).
fof(f2657,plain,
( spl58_231
| ~ spl58_24 ),
inference(avatar_split_clause,[],[f2603,f544,f2654]) ).
fof(f2603,plain,
( xa = sdtasdt0(xa,sK22(xa))
| ~ spl58_24 ),
inference(resolution,[],[f260,f546]) ).
fof(f2652,plain,
( spl58_230
| ~ spl58_23 ),
inference(avatar_split_clause,[],[f2602,f539,f2649]) ).
fof(f2649,plain,
( spl58_230
<=> sz00 = sdtasdt0(xa,sK22(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_230])]) ).
fof(f2602,plain,
( sz00 = sdtasdt0(xa,sK22(sz00))
| ~ spl58_23 ),
inference(resolution,[],[f260,f541]) ).
fof(f2647,plain,
( ~ spl58_229
| ~ spl58_3
| ~ spl58_29
| spl58_225 ),
inference(avatar_split_clause,[],[f2642,f2615,f570,f439,f2644]) ).
fof(f2644,plain,
( spl58_229
<=> aElementOf0(sK25,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_229])]) ).
fof(f570,plain,
( spl58_29
<=> xa = sdtasdt0(xc,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_29])]) ).
fof(f2642,plain,
( ~ aElementOf0(sK25,xI)
| ~ spl58_3
| ~ spl58_29
| spl58_225 ),
inference(subsumption_resolution,[],[f2553,f2616]) ).
fof(f2553,plain,
( aElementOf0(xa,xI)
| ~ aElementOf0(sK25,xI)
| ~ spl58_3
| ~ spl58_29 ),
inference(subsumption_resolution,[],[f2470,f441]) ).
fof(f2470,plain,
( aElementOf0(xa,xI)
| ~ aElement0(xc)
| ~ aElementOf0(sK25,xI)
| ~ spl58_29 ),
inference(superposition,[],[f257,f572]) ).
fof(f572,plain,
( xa = sdtasdt0(xc,sK25)
| ~ spl58_29 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2641,plain,
( ~ spl58_228
| ~ spl58_3
| ~ spl58_30
| spl58_227 ),
inference(avatar_split_clause,[],[f2636,f2624,f575,f439,f2638]) ).
fof(f2638,plain,
( spl58_228
<=> aElementOf0(sK24,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_228])]) ).
fof(f575,plain,
( spl58_30
<=> xb = sdtasdt0(xc,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_30])]) ).
fof(f2636,plain,
( ~ aElementOf0(sK24,xI)
| ~ spl58_3
| ~ spl58_30
| spl58_227 ),
inference(subsumption_resolution,[],[f2552,f2625]) ).
fof(f2552,plain,
( aElementOf0(xb,xI)
| ~ aElementOf0(sK24,xI)
| ~ spl58_3
| ~ spl58_30 ),
inference(subsumption_resolution,[],[f2469,f441]) ).
fof(f2469,plain,
( aElementOf0(xb,xI)
| ~ aElement0(xc)
| ~ aElementOf0(sK24,xI)
| ~ spl58_30 ),
inference(superposition,[],[f257,f577]) ).
fof(f577,plain,
( xb = sdtasdt0(xc,sK24)
| ~ spl58_30 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f2627,plain,
( ~ spl58_226
| spl58_227
| ~ spl58_7
| ~ spl58_34 ),
inference(avatar_split_clause,[],[f2548,f595,f460,f2624,f2620]) ).
fof(f2620,plain,
( spl58_226
<=> aElementOf0(sK26,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_226])]) ).
fof(f595,plain,
( spl58_34
<=> xb = sdtasdt0(xb,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_34])]) ).
fof(f2548,plain,
( aElementOf0(xb,xI)
| ~ aElementOf0(sK26,xI)
| ~ spl58_7
| ~ spl58_34 ),
inference(subsumption_resolution,[],[f2465,f462]) ).
fof(f2465,plain,
( aElementOf0(xb,xI)
| ~ aElement0(xb)
| ~ aElementOf0(sK26,xI)
| ~ spl58_34 ),
inference(superposition,[],[f257,f597]) ).
fof(f597,plain,
( xb = sdtasdt0(xb,sK26)
| ~ spl58_34 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f2618,plain,
( ~ spl58_224
| spl58_225
| ~ spl58_6
| ~ spl58_32 ),
inference(avatar_split_clause,[],[f2544,f585,f455,f2615,f2611]) ).
fof(f2611,plain,
( spl58_224
<=> aElementOf0(sK28,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_224])]) ).
fof(f2544,plain,
( aElementOf0(xa,xI)
| ~ aElementOf0(sK28,xI)
| ~ spl58_6
| ~ spl58_32 ),
inference(subsumption_resolution,[],[f2461,f457]) ).
fof(f2461,plain,
( aElementOf0(xa,xI)
| ~ aElement0(xa)
| ~ aElementOf0(sK28,xI)
| ~ spl58_32 ),
inference(superposition,[],[f257,f587]) ).
fof(f2581,plain,
( spl58_223
| ~ spl58_62
| ~ spl58_221 ),
inference(avatar_split_clause,[],[f2569,f2563,f833,f2578]) ).
fof(f833,plain,
( spl58_62
<=> aSet0(slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_62])]) ).
fof(f2569,plain,
( aElement0(sK19(sz00))
| ~ spl58_62
| ~ spl58_221 ),
inference(resolution,[],[f2565,f1329]) ).
fof(f1329,plain,
( ! [X2] :
( ~ aElementOf0(X2,xI)
| aElement0(sK19(X2)) )
| ~ spl58_62 ),
inference(subsumption_resolution,[],[f1328,f834]) ).
fof(f834,plain,
( aSet0(slsdtgt0(xa))
| ~ spl58_62 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f1328,plain,
! [X2] :
( ~ aElementOf0(X2,xI)
| aElement0(sK19(X2))
| ~ aSet0(slsdtgt0(xa)) ),
inference(resolution,[],[f265,f330]) ).
fof(f2576,plain,
( spl58_222
| ~ spl58_64
| ~ spl58_221 ),
inference(avatar_split_clause,[],[f2568,f2563,f846,f2573]) ).
fof(f846,plain,
( spl58_64
<=> aSet0(slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_64])]) ).
fof(f2568,plain,
( aElement0(sK20(sz00))
| ~ spl58_64
| ~ spl58_221 ),
inference(resolution,[],[f2565,f1368]) ).
fof(f1368,plain,
( ! [X2] :
( ~ aElementOf0(X2,xI)
| aElement0(sK20(X2)) )
| ~ spl58_64 ),
inference(subsumption_resolution,[],[f1367,f847]) ).
fof(f847,plain,
( aSet0(slsdtgt0(xb))
| ~ spl58_64 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f1367,plain,
! [X2] :
( ~ aElementOf0(X2,xI)
| aElement0(sK20(X2))
| ~ aSet0(slsdtgt0(xb)) ),
inference(resolution,[],[f266,f330]) ).
fof(f2567,plain,
( spl58_221
| ~ spl58_7
| ~ spl58_13
| ~ spl58_33
| ~ spl58_56
| ~ spl58_131 ),
inference(avatar_split_clause,[],[f2550,f1390,f736,f590,f490,f460,f2563]) ).
fof(f590,plain,
( spl58_33
<=> sz00 = sdtasdt0(xb,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_33])]) ).
fof(f1390,plain,
( spl58_131
<=> sz00 = sdtasdt0(sz00,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_131])]) ).
fof(f2550,plain,
( aElementOf0(sz00,xI)
| ~ spl58_7
| ~ spl58_13
| ~ spl58_33
| ~ spl58_56
| ~ spl58_131 ),
inference(global_subsumption,[],[f2549,f253,f268,f267,f264,f263,f261,f260,f256,f273,f287,f310,f309,f314,f321,f320,f318,f317,f345,f354,f353,f352,f351,f350,f349,f362,f361,f360,f359,f358,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f327,f328,f492,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f738,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f343,f380,f415,f416,f421,f797,f265,f1326,f1327,f858,f947,f1025,f1083,f1146,f266,f1365,f1366,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f1392,f344,f356,f364,f365,f1693,f366,f392,f1729,f1444,f1527,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f313,f341,f2227,f2229,f2230,f2231,f2244,f2245,f2249,f2250,f2252,f2265,f2266,f2270,f2271,f342,f2284,f2286,f2287,f2288,f2301,f2302,f2306,f2307,f2309,f2322,f2323,f2327,f2328,f346,f2352,f2353,f347,f257,f2414,f2524]) ).
fof(f2524,plain,
( aElementOf0(sz00,xI)
| ~ spl58_13
| ~ spl58_56
| ~ spl58_131 ),
inference(subsumption_resolution,[],[f2523,f738]) ).
fof(f2523,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK30,xI)
| ~ spl58_13
| ~ spl58_131 ),
inference(subsumption_resolution,[],[f2434,f492]) ).
fof(f2434,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(sK30,xI)
| ~ spl58_131 ),
inference(superposition,[],[f257,f1392]) ).
fof(f1527,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl58_13 ),
inference(resolution,[],[f340,f492]) ).
fof(f1444,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl58_13 ),
inference(resolution,[],[f339,f492]) ).
fof(f1392,plain,
( sz00 = sdtasdt0(sz00,sK30)
| ~ spl58_131 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f1146,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl58_13 ),
inference(resolution,[],[f338,f492]) ).
fof(f1083,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl58_13 ),
inference(resolution,[],[f337,f492]) ).
fof(f1025,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl58_13 ),
inference(resolution,[],[f336,f492]) ).
fof(f947,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl58_13 ),
inference(resolution,[],[f335,f492]) ).
fof(f858,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl58_13 ),
inference(resolution,[],[f334,f492]) ).
fof(f797,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl58_13 ),
inference(resolution,[],[f333,f492]) ).
fof(f2549,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK27,xI)
| ~ spl58_7
| ~ spl58_33 ),
inference(subsumption_resolution,[],[f2466,f462]) ).
fof(f2466,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(xb)
| ~ aElementOf0(sK27,xI)
| ~ spl58_33 ),
inference(superposition,[],[f257,f592]) ).
fof(f592,plain,
( sz00 = sdtasdt0(xb,sK27)
| ~ spl58_33 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f2566,plain,
( spl58_221
| ~ spl58_6
| ~ spl58_13
| ~ spl58_31
| ~ spl58_56
| ~ spl58_131 ),
inference(avatar_split_clause,[],[f2546,f1390,f736,f580,f490,f455,f2563]) ).
fof(f580,plain,
( spl58_31
<=> sz00 = sdtasdt0(xa,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_31])]) ).
fof(f2546,plain,
( aElementOf0(sz00,xI)
| ~ spl58_6
| ~ spl58_13
| ~ spl58_31
| ~ spl58_56
| ~ spl58_131 ),
inference(global_subsumption,[],[f2545,f253,f268,f267,f264,f263,f261,f260,f256,f273,f287,f310,f309,f314,f321,f320,f318,f317,f345,f354,f353,f352,f351,f350,f349,f362,f361,f360,f359,f358,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f327,f328,f492,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f738,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f343,f380,f415,f416,f421,f797,f265,f1326,f1327,f858,f947,f1025,f1083,f1146,f266,f1365,f1366,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f1392,f344,f356,f364,f365,f1693,f366,f392,f1729,f1444,f1527,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f313,f341,f2227,f2229,f2230,f2231,f2244,f2245,f2249,f2250,f2252,f2265,f2266,f2270,f2271,f342,f2284,f2286,f2287,f2288,f2301,f2302,f2306,f2307,f2309,f2322,f2323,f2327,f2328,f346,f2352,f2353,f347,f257,f2414,f2524]) ).
fof(f2545,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK29,xI)
| ~ spl58_6
| ~ spl58_31 ),
inference(subsumption_resolution,[],[f2462,f457]) ).
fof(f2462,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(xa)
| ~ aElementOf0(sK29,xI)
| ~ spl58_31 ),
inference(superposition,[],[f257,f582]) ).
fof(f582,plain,
( sz00 = sdtasdt0(xa,sK29)
| ~ spl58_31 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f2405,plain,
( spl58_220
| ~ spl58_154 ),
inference(avatar_split_clause,[],[f1618,f1605,f2402]) ).
fof(f2402,plain,
( spl58_220
<=> sz00 = sdtasdt0(sz00,sK20(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_220])]) ).
fof(f1605,plain,
( spl58_154
<=> aElement0(sK20(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_154])]) ).
fof(f1618,plain,
( sz00 = sdtasdt0(sz00,sK20(sK30))
| ~ spl58_154 ),
inference(resolution,[],[f1607,f334]) ).
fof(f1607,plain,
( aElement0(sK20(sK30))
| ~ spl58_154 ),
inference(avatar_component_clause,[],[f1605]) ).
fof(f2400,plain,
( spl58_219
| ~ spl58_154 ),
inference(avatar_split_clause,[],[f1617,f1605,f2397]) ).
fof(f2397,plain,
( spl58_219
<=> sz00 = sdtasdt0(sK20(sK30),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_219])]) ).
fof(f1617,plain,
( sz00 = sdtasdt0(sK20(sK30),sz00)
| ~ spl58_154 ),
inference(resolution,[],[f1607,f333]) ).
fof(f2395,plain,
( spl58_218
| ~ spl58_153 ),
inference(avatar_split_clause,[],[f1610,f1600,f2392]) ).
fof(f2392,plain,
( spl58_218
<=> sz00 = sdtasdt0(sz00,sK20(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_218])]) ).
fof(f1600,plain,
( spl58_153
<=> aElement0(sK20(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_153])]) ).
fof(f1610,plain,
( sz00 = sdtasdt0(sz00,sK20(sK33))
| ~ spl58_153 ),
inference(resolution,[],[f1602,f334]) ).
fof(f1602,plain,
( aElement0(sK20(sK33))
| ~ spl58_153 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f2390,plain,
( spl58_217
| ~ spl58_153 ),
inference(avatar_split_clause,[],[f1609,f1600,f2387]) ).
fof(f2387,plain,
( spl58_217
<=> sz00 = sdtasdt0(sK20(sK33),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_217])]) ).
fof(f1609,plain,
( sz00 = sdtasdt0(sK20(sK33),sz00)
| ~ spl58_153 ),
inference(resolution,[],[f1602,f333]) ).
fof(f2385,plain,
( spl58_216
| ~ spl58_152 ),
inference(avatar_split_clause,[],[f1589,f1576,f2382]) ).
fof(f2382,plain,
( spl58_216
<=> sz00 = sdtasdt0(sz00,sK19(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_216])]) ).
fof(f1576,plain,
( spl58_152
<=> aElement0(sK19(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_152])]) ).
fof(f1589,plain,
( sz00 = sdtasdt0(sz00,sK19(sK30))
| ~ spl58_152 ),
inference(resolution,[],[f1578,f334]) ).
fof(f1578,plain,
( aElement0(sK19(sK30))
| ~ spl58_152 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f2380,plain,
( spl58_215
| ~ spl58_152 ),
inference(avatar_split_clause,[],[f1588,f1576,f2377]) ).
fof(f2377,plain,
( spl58_215
<=> sz00 = sdtasdt0(sK19(sK30),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_215])]) ).
fof(f1588,plain,
( sz00 = sdtasdt0(sK19(sK30),sz00)
| ~ spl58_152 ),
inference(resolution,[],[f1578,f333]) ).
fof(f2375,plain,
( spl58_214
| ~ spl58_151 ),
inference(avatar_split_clause,[],[f1581,f1571,f2372]) ).
fof(f2372,plain,
( spl58_214
<=> sz00 = sdtasdt0(sz00,sK19(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_214])]) ).
fof(f1571,plain,
( spl58_151
<=> aElement0(sK19(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_151])]) ).
fof(f1581,plain,
( sz00 = sdtasdt0(sz00,sK19(sK33))
| ~ spl58_151 ),
inference(resolution,[],[f1573,f334]) ).
fof(f1573,plain,
( aElement0(sK19(sK33))
| ~ spl58_151 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f2370,plain,
( spl58_213
| ~ spl58_151 ),
inference(avatar_split_clause,[],[f1580,f1571,f2367]) ).
fof(f2367,plain,
( spl58_213
<=> sz00 = sdtasdt0(sK19(sK33),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_213])]) ).
fof(f1580,plain,
( sz00 = sdtasdt0(sK19(sK33),sz00)
| ~ spl58_151 ),
inference(resolution,[],[f1573,f333]) ).
fof(f2281,plain,
( ~ spl58_211
| ~ spl58_212
| ~ spl58_9
| ~ spl58_32 ),
inference(avatar_split_clause,[],[f2176,f585,f470,f2278,f2274]) ).
fof(f2274,plain,
( spl58_211
<=> sP3(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_211])]) ).
fof(f2278,plain,
( spl58_212
<=> xa = xb ),
introduced(avatar_definition,[new_symbols(naming,[spl58_212])]) ).
fof(f2176,plain,
( xa != xb
| ~ sP3(xa)
| ~ spl58_9
| ~ spl58_32 ),
inference(subsumption_resolution,[],[f2105,f472]) ).
fof(f2105,plain,
( xa != xb
| ~ aElement0(sK28)
| ~ sP3(xa)
| ~ spl58_32 ),
inference(superposition,[],[f270,f587]) ).
fof(f2225,plain,
( ~ spl58_210
| ~ spl58_7
| ~ spl58_8
| ~ spl58_112
| ~ spl58_119 ),
inference(avatar_split_clause,[],[f2166,f1317,f1282,f465,f460,f2215]) ).
fof(f2215,plain,
( spl58_210
<=> sP3(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_210])]) ).
fof(f1282,plain,
( spl58_112
<=> xb = sdtasdt0(sz10,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_112])]) ).
fof(f2166,plain,
( ~ sP3(sz10)
| ~ spl58_7
| ~ spl58_8
| ~ spl58_112
| ~ spl58_119 ),
inference(global_subsumption,[],[f2165,f253,f268,f267,f264,f263,f261,f260,f257,f256,f273,f287,f310,f309,f313,f314,f321,f320,f318,f317,f342,f341,f345,f347,f346,f354,f353,f352,f351,f350,f349,f362,f361,f360,f359,f358,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f462,f327,f328,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f801,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f862,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f951,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1029,f343,f1087,f380,f1150,f415,f416,f421,f1284,f265,f1326,f1327,f266,f1365,f1366,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f364,f1448,f1531,f365,f1693,f366,f392,f1729,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2152]) ).
fof(f2152,plain,
( ~ sP3(sz10)
| ~ spl58_7
| ~ spl58_112 ),
inference(subsumption_resolution,[],[f2149,f462]) ).
fof(f2149,plain,
( ~ aElement0(xb)
| ~ sP3(sz10)
| ~ spl58_112 ),
inference(trivial_inequality_removal,[],[f2091]) ).
fof(f2091,plain,
( xb != xb
| ~ aElement0(xb)
| ~ sP3(sz10)
| ~ spl58_112 ),
inference(superposition,[],[f270,f1284]) ).
fof(f1531,plain,
( sz00 = sdtpldt0(smndt0(xb),xb)
| ~ spl58_7 ),
inference(resolution,[],[f340,f462]) ).
fof(f1448,plain,
( sz00 = sdtpldt0(xb,smndt0(xb))
| ~ spl58_7 ),
inference(resolution,[],[f339,f462]) ).
fof(f1284,plain,
( xb = sdtasdt0(sz10,xb)
| ~ spl58_112 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1150,plain,
( xb = sdtasdt0(sz10,xb)
| ~ spl58_7 ),
inference(resolution,[],[f338,f462]) ).
fof(f1087,plain,
( xb = sdtasdt0(xb,sz10)
| ~ spl58_7 ),
inference(resolution,[],[f337,f462]) ).
fof(f1029,plain,
( xb = sdtpldt0(sz00,xb)
| ~ spl58_7 ),
inference(resolution,[],[f336,f462]) ).
fof(f951,plain,
( xb = sdtpldt0(xb,sz00)
| ~ spl58_7 ),
inference(resolution,[],[f335,f462]) ).
fof(f862,plain,
( sz00 = sdtasdt0(sz00,xb)
| ~ spl58_7 ),
inference(resolution,[],[f334,f462]) ).
fof(f801,plain,
( sz00 = sdtasdt0(xb,sz00)
| ~ spl58_7 ),
inference(resolution,[],[f333,f462]) ).
fof(f2165,plain,
( xb != sK29
| ~ sP3(sz10)
| ~ spl58_8
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f2098,f467]) ).
fof(f2098,plain,
( xb != sK29
| ~ aElement0(sK29)
| ~ sP3(sz10)
| ~ spl58_119 ),
inference(superposition,[],[f270,f1319]) ).
fof(f2224,plain,
( ~ spl58_210
| ~ spl58_7
| ~ spl58_9
| ~ spl58_112
| ~ spl58_118 ),
inference(avatar_split_clause,[],[f2164,f1312,f1282,f470,f460,f2215]) ).
fof(f2164,plain,
( ~ sP3(sz10)
| ~ spl58_7
| ~ spl58_9
| ~ spl58_112
| ~ spl58_118 ),
inference(global_subsumption,[],[f2163,f253,f268,f267,f264,f263,f261,f260,f257,f256,f273,f287,f310,f309,f313,f314,f321,f320,f318,f317,f342,f341,f345,f347,f346,f354,f353,f352,f351,f350,f349,f362,f361,f360,f359,f358,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f462,f327,f328,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f801,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f862,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f951,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1029,f343,f1087,f380,f1150,f415,f416,f421,f1284,f265,f1326,f1327,f266,f1365,f1366,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f364,f1448,f1531,f365,f1693,f366,f392,f1729,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2152]) ).
fof(f2163,plain,
( xb != sK28
| ~ sP3(sz10)
| ~ spl58_9
| ~ spl58_118 ),
inference(subsumption_resolution,[],[f2097,f472]) ).
fof(f2097,plain,
( xb != sK28
| ~ aElement0(sK28)
| ~ sP3(sz10)
| ~ spl58_118 ),
inference(superposition,[],[f270,f1314]) ).
fof(f2223,plain,
( ~ spl58_210
| ~ spl58_7
| ~ spl58_10
| ~ spl58_112
| ~ spl58_117 ),
inference(avatar_split_clause,[],[f2162,f1307,f1282,f475,f460,f2215]) ).
fof(f2162,plain,
( ~ sP3(sz10)
| ~ spl58_7
| ~ spl58_10
| ~ spl58_112
| ~ spl58_117 ),
inference(global_subsumption,[],[f2161,f253,f268,f267,f264,f263,f261,f260,f257,f256,f273,f287,f310,f309,f313,f314,f321,f320,f318,f317,f342,f341,f345,f347,f346,f354,f353,f352,f351,f350,f349,f362,f361,f360,f359,f358,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f462,f327,f328,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f801,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f862,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f951,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1029,f343,f1087,f380,f1150,f415,f416,f421,f1284,f265,f1326,f1327,f266,f1365,f1366,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f364,f1448,f1531,f365,f1693,f366,f392,f1729,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2152]) ).
fof(f2161,plain,
( xb != sK27
| ~ sP3(sz10)
| ~ spl58_10
| ~ spl58_117 ),
inference(subsumption_resolution,[],[f2096,f477]) ).
fof(f2096,plain,
( xb != sK27
| ~ aElement0(sK27)
| ~ sP3(sz10)
| ~ spl58_117 ),
inference(superposition,[],[f270,f1309]) ).
fof(f2222,plain,
( ~ spl58_210
| ~ spl58_7
| ~ spl58_11
| ~ spl58_112
| ~ spl58_116 ),
inference(avatar_split_clause,[],[f2160,f1302,f1282,f480,f460,f2215]) ).
fof(f2160,plain,
( ~ sP3(sz10)
| ~ spl58_7
| ~ spl58_11
| ~ spl58_112
| ~ spl58_116 ),
inference(global_subsumption,[],[f2159,f253,f268,f267,f264,f263,f261,f260,f257,f256,f273,f287,f310,f309,f313,f314,f321,f320,f318,f317,f342,f341,f345,f347,f346,f354,f353,f352,f351,f350,f349,f362,f361,f360,f359,f358,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f462,f327,f328,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f801,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f862,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f951,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1029,f343,f1087,f380,f1150,f415,f416,f421,f1284,f265,f1326,f1327,f266,f1365,f1366,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f364,f1448,f1531,f365,f1693,f366,f392,f1729,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2152]) ).
fof(f2159,plain,
( xb != sK26
| ~ sP3(sz10)
| ~ spl58_11
| ~ spl58_116 ),
inference(subsumption_resolution,[],[f2095,f482]) ).
fof(f2095,plain,
( xb != sK26
| ~ aElement0(sK26)
| ~ sP3(sz10)
| ~ spl58_116 ),
inference(superposition,[],[f270,f1304]) ).
fof(f2221,plain,
( ~ spl58_210
| ~ spl58_4
| ~ spl58_7
| ~ spl58_112
| ~ spl58_115 ),
inference(avatar_split_clause,[],[f2158,f1297,f1282,f460,f444,f2215]) ).
fof(f2158,plain,
( ~ sP3(sz10)
| ~ spl58_4
| ~ spl58_7
| ~ spl58_112
| ~ spl58_115 ),
inference(global_subsumption,[],[f2157,f253,f268,f267,f264,f263,f261,f260,f257,f256,f273,f287,f310,f309,f313,f314,f321,f320,f318,f317,f342,f341,f345,f347,f346,f354,f353,f352,f351,f350,f349,f362,f361,f360,f359,f358,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f462,f327,f328,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f801,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f862,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f951,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1029,f343,f1087,f380,f1150,f415,f416,f421,f1284,f265,f1326,f1327,f266,f1365,f1366,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f364,f1448,f1531,f365,f1693,f366,f392,f1729,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2152]) ).
fof(f2157,plain,
( xb != sK25
| ~ sP3(sz10)
| ~ spl58_4
| ~ spl58_115 ),
inference(subsumption_resolution,[],[f2094,f446]) ).
fof(f2094,plain,
( xb != sK25
| ~ aElement0(sK25)
| ~ sP3(sz10)
| ~ spl58_115 ),
inference(superposition,[],[f270,f1299]) ).
fof(f2220,plain,
( ~ spl58_210
| ~ spl58_5
| ~ spl58_7
| ~ spl58_112
| ~ spl58_114 ),
inference(avatar_split_clause,[],[f2156,f1292,f1282,f460,f450,f2215]) ).
fof(f2156,plain,
( ~ sP3(sz10)
| ~ spl58_5
| ~ spl58_7
| ~ spl58_112
| ~ spl58_114 ),
inference(global_subsumption,[],[f2155,f253,f268,f267,f264,f263,f261,f260,f257,f256,f273,f287,f310,f309,f313,f314,f321,f320,f318,f317,f342,f341,f345,f347,f346,f354,f353,f352,f351,f350,f349,f362,f361,f360,f359,f358,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f462,f327,f328,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f801,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f862,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f951,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1029,f343,f1087,f380,f1150,f415,f416,f421,f1284,f265,f1326,f1327,f266,f1365,f1366,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f364,f1448,f1531,f365,f1693,f366,f392,f1729,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2152]) ).
fof(f2155,plain,
( xb != sK24
| ~ sP3(sz10)
| ~ spl58_5
| ~ spl58_114 ),
inference(subsumption_resolution,[],[f2093,f452]) ).
fof(f2093,plain,
( xb != sK24
| ~ aElement0(sK24)
| ~ sP3(sz10)
| ~ spl58_114 ),
inference(superposition,[],[f270,f1294]) ).
fof(f2219,plain,
( ~ spl58_210
| ~ spl58_3
| ~ spl58_7
| ~ spl58_112
| ~ spl58_113 ),
inference(avatar_split_clause,[],[f2154,f1287,f1282,f460,f439,f2215]) ).
fof(f2154,plain,
( ~ sP3(sz10)
| ~ spl58_3
| ~ spl58_7
| ~ spl58_112
| ~ spl58_113 ),
inference(global_subsumption,[],[f2153,f253,f268,f267,f264,f263,f261,f260,f257,f256,f273,f287,f310,f309,f313,f314,f321,f320,f318,f317,f342,f341,f345,f347,f346,f354,f353,f352,f351,f350,f349,f362,f361,f360,f359,f358,f357,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f396,f395,f394,f398,f397,f402,f401,f400,f399,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f462,f327,f328,f279,f280,f284,f285,f326,f305,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f315,f307,f306,f308,f254,f749,f250,f762,f763,f251,f764,f274,f765,f311,f767,f768,f312,f769,f770,f330,f773,f774,f778,f779,f333,f799,f805,f806,f810,f811,f813,f823,f824,f828,f829,f334,f860,f866,f867,f871,f872,f874,f887,f888,f892,f893,f801,f335,f949,f956,f957,f961,f962,f964,f977,f978,f982,f983,f862,f336,f1027,f1034,f1035,f1039,f1040,f1042,f1055,f1056,f1060,f1061,f951,f337,f1085,f1092,f1093,f1097,f1098,f1100,f1113,f1114,f1118,f1119,f338,f1148,f1155,f1156,f1160,f1161,f1163,f1176,f1177,f1181,f1182,f1029,f343,f1087,f380,f1150,f415,f416,f421,f1284,f265,f1326,f1327,f266,f1365,f1366,f249,f339,f1446,f1453,f1454,f1458,f1459,f1461,f1474,f1475,f1479,f1480,f340,f1529,f1536,f1537,f1541,f1542,f1544,f1557,f1558,f1562,f1563,f344,f356,f364,f1448,f1531,f365,f1693,f366,f392,f1729,f393,f1755,f403,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f404,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f252,f2061,f270,f2152]) ).
fof(f2153,plain,
( xb != xc
| ~ sP3(sz10)
| ~ spl58_3
| ~ spl58_113 ),
inference(subsumption_resolution,[],[f2092,f441]) ).
fof(f2092,plain,
( xb != xc
| ~ aElement0(xc)
| ~ sP3(sz10)
| ~ spl58_113 ),
inference(superposition,[],[f270,f1289]) ).
fof(f2218,plain,
( ~ spl58_210
| ~ spl58_7
| ~ spl58_112 ),
inference(avatar_split_clause,[],[f2152,f1282,f460,f2215]) ).
fof(f2213,plain,
( ~ spl58_209
| ~ spl58_11
| ~ spl58_34 ),
inference(avatar_split_clause,[],[f2178,f595,f480,f2210]) ).
fof(f2210,plain,
( spl58_209
<=> sP3(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_209])]) ).
fof(f2178,plain,
( ~ sP3(xb)
| ~ spl58_11
| ~ spl58_34 ),
inference(subsumption_resolution,[],[f2147,f482]) ).
fof(f2147,plain,
( ~ aElement0(sK26)
| ~ sP3(xb)
| ~ spl58_34 ),
inference(trivial_inequality_removal,[],[f2109]) ).
fof(f2109,plain,
( xb != xb
| ~ aElement0(sK26)
| ~ sP3(xb)
| ~ spl58_34 ),
inference(superposition,[],[f270,f597]) ).
fof(f2044,plain,
( spl58_208
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f1554,f850,f2041]) ).
fof(f2041,plain,
( spl58_208
<=> sz00 = sdtpldt0(smndt0(sK35),sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_208])]) ).
fof(f1554,plain,
( sz00 = sdtpldt0(smndt0(sK35),sK35)
| ~ spl58_65 ),
inference(resolution,[],[f340,f852]) ).
fof(f2039,plain,
( spl58_207
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f1553,f837,f2036]) ).
fof(f2036,plain,
( spl58_207
<=> sz00 = sdtpldt0(smndt0(sK34),sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_207])]) ).
fof(f1553,plain,
( sz00 = sdtpldt0(smndt0(sK34),sK34)
| ~ spl58_63 ),
inference(resolution,[],[f340,f839]) ).
fof(f2034,plain,
( spl58_206
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f1552,f788,f2031]) ).
fof(f2031,plain,
( spl58_206
<=> sz00 = sdtpldt0(smndt0(sK33),sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_206])]) ).
fof(f1552,plain,
( sz00 = sdtpldt0(smndt0(sK33),sK33)
| ~ spl58_60 ),
inference(resolution,[],[f340,f790]) ).
fof(f2029,plain,
( spl58_205
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f1551,f793,f2026]) ).
fof(f2026,plain,
( spl58_205
<=> sz00 = sdtpldt0(smndt0(sK30),sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_205])]) ).
fof(f1551,plain,
( sz00 = sdtpldt0(smndt0(sK30),sK30)
| ~ spl58_61 ),
inference(resolution,[],[f340,f795]) ).
fof(f2024,plain,
( spl58_204
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f1471,f850,f2021]) ).
fof(f2021,plain,
( spl58_204
<=> sz00 = sdtpldt0(sK35,smndt0(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_204])]) ).
fof(f1471,plain,
( sz00 = sdtpldt0(sK35,smndt0(sK35))
| ~ spl58_65 ),
inference(resolution,[],[f339,f852]) ).
fof(f2019,plain,
( spl58_203
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f1470,f837,f2016]) ).
fof(f2016,plain,
( spl58_203
<=> sz00 = sdtpldt0(sK34,smndt0(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_203])]) ).
fof(f1470,plain,
( sz00 = sdtpldt0(sK34,smndt0(sK34))
| ~ spl58_63 ),
inference(resolution,[],[f339,f839]) ).
fof(f2014,plain,
( spl58_202
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f1469,f788,f2011]) ).
fof(f2011,plain,
( spl58_202
<=> sz00 = sdtpldt0(sK33,smndt0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_202])]) ).
fof(f1469,plain,
( sz00 = sdtpldt0(sK33,smndt0(sK33))
| ~ spl58_60 ),
inference(resolution,[],[f339,f790]) ).
fof(f2009,plain,
( spl58_201
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f1468,f793,f2006]) ).
fof(f2006,plain,
( spl58_201
<=> sz00 = sdtpldt0(sK30,smndt0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_201])]) ).
fof(f1468,plain,
( sz00 = sdtpldt0(sK30,smndt0(sK30))
| ~ spl58_61 ),
inference(resolution,[],[f339,f795]) ).
fof(f2004,plain,
( spl58_200
| ~ spl58_49 ),
inference(avatar_split_clause,[],[f894,f685,f2001]) ).
fof(f2001,plain,
( spl58_200
<=> sz00 = sdtasdt0(sz00,sK37(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_200])]) ).
fof(f894,plain,
( sz00 = sdtasdt0(sz00,sK37(sK34))
| ~ spl58_49 ),
inference(resolution,[],[f334,f687]) ).
fof(f1927,plain,
( spl58_199
| ~ spl58_48 ),
inference(avatar_split_clause,[],[f891,f680,f1924]) ).
fof(f1924,plain,
( spl58_199
<=> sz00 = sdtasdt0(sz00,sK37(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_199])]) ).
fof(f891,plain,
( sz00 = sdtasdt0(sz00,sK37(xa))
| ~ spl58_48 ),
inference(resolution,[],[f334,f682]) ).
fof(f1922,plain,
( spl58_198
| ~ spl58_47 ),
inference(avatar_split_clause,[],[f890,f675,f1919]) ).
fof(f1919,plain,
( spl58_198
<=> sz00 = sdtasdt0(sz00,sK37(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_198])]) ).
fof(f890,plain,
( sz00 = sdtasdt0(sz00,sK37(sz00))
| ~ spl58_47 ),
inference(resolution,[],[f334,f677]) ).
fof(f1917,plain,
( spl58_197
| ~ spl58_52 ),
inference(avatar_split_clause,[],[f889,f703,f1914]) ).
fof(f1914,plain,
( spl58_197
<=> sz00 = sdtasdt0(sz00,sK36(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_197])]) ).
fof(f889,plain,
( sz00 = sdtasdt0(sz00,sK36(sK35))
| ~ spl58_52 ),
inference(resolution,[],[f334,f705]) ).
fof(f1912,plain,
( spl58_196
| ~ spl58_51 ),
inference(avatar_split_clause,[],[f886,f698,f1909]) ).
fof(f1909,plain,
( spl58_196
<=> sz00 = sdtasdt0(sz00,sK36(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_196])]) ).
fof(f886,plain,
( sz00 = sdtasdt0(sz00,sK36(xb))
| ~ spl58_51 ),
inference(resolution,[],[f334,f700]) ).
fof(f1907,plain,
( spl58_195
| ~ spl58_50 ),
inference(avatar_split_clause,[],[f885,f693,f1904]) ).
fof(f1904,plain,
( spl58_195
<=> sz00 = sdtasdt0(sz00,sK36(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_195])]) ).
fof(f885,plain,
( sz00 = sdtasdt0(sz00,sK36(sz00))
| ~ spl58_50 ),
inference(resolution,[],[f334,f695]) ).
fof(f1902,plain,
( spl58_194
| ~ spl58_42 ),
inference(avatar_split_clause,[],[f873,f647,f1899]) ).
fof(f1899,plain,
( spl58_194
<=> sz00 = sdtasdt0(sz00,sK22(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_194])]) ).
fof(f873,plain,
( sz00 = sdtasdt0(sz00,sK22(sK34))
| ~ spl58_42 ),
inference(resolution,[],[f334,f649]) ).
fof(f1897,plain,
( spl58_193
| ~ spl58_41 ),
inference(avatar_split_clause,[],[f870,f642,f1894]) ).
fof(f1894,plain,
( spl58_193
<=> sz00 = sdtasdt0(sz00,sK22(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_193])]) ).
fof(f870,plain,
( sz00 = sdtasdt0(sz00,sK22(xa))
| ~ spl58_41 ),
inference(resolution,[],[f334,f644]) ).
fof(f1892,plain,
( spl58_192
| ~ spl58_40 ),
inference(avatar_split_clause,[],[f869,f637,f1889]) ).
fof(f1889,plain,
( spl58_192
<=> sz00 = sdtasdt0(sz00,sK22(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_192])]) ).
fof(f869,plain,
( sz00 = sdtasdt0(sz00,sK22(sz00))
| ~ spl58_40 ),
inference(resolution,[],[f334,f639]) ).
fof(f1887,plain,
( spl58_191
| ~ spl58_45 ),
inference(avatar_split_clause,[],[f868,f662,f1884]) ).
fof(f1884,plain,
( spl58_191
<=> sz00 = sdtasdt0(sz00,sK21(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_191])]) ).
fof(f868,plain,
( sz00 = sdtasdt0(sz00,sK21(sK35))
| ~ spl58_45 ),
inference(resolution,[],[f334,f664]) ).
fof(f1882,plain,
( spl58_190
| ~ spl58_44 ),
inference(avatar_split_clause,[],[f865,f657,f1879]) ).
fof(f1879,plain,
( spl58_190
<=> sz00 = sdtasdt0(sz00,sK21(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_190])]) ).
fof(f865,plain,
( sz00 = sdtasdt0(sz00,sK21(xb))
| ~ spl58_44 ),
inference(resolution,[],[f334,f659]) ).
fof(f1877,plain,
( spl58_189
| ~ spl58_43 ),
inference(avatar_split_clause,[],[f864,f652,f1874]) ).
fof(f1874,plain,
( spl58_189
<=> sz00 = sdtasdt0(sz00,sK21(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_189])]) ).
fof(f864,plain,
( sz00 = sdtasdt0(sz00,sK21(sz00))
| ~ spl58_43 ),
inference(resolution,[],[f334,f654]) ).
fof(f1811,plain,
( spl58_188
| ~ spl58_49 ),
inference(avatar_split_clause,[],[f830,f685,f1808]) ).
fof(f1808,plain,
( spl58_188
<=> sz00 = sdtasdt0(sK37(sK34),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_188])]) ).
fof(f830,plain,
( sz00 = sdtasdt0(sK37(sK34),sz00)
| ~ spl58_49 ),
inference(resolution,[],[f333,f687]) ).
fof(f1806,plain,
( spl58_187
| ~ spl58_48 ),
inference(avatar_split_clause,[],[f827,f680,f1803]) ).
fof(f1803,plain,
( spl58_187
<=> sz00 = sdtasdt0(sK37(xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_187])]) ).
fof(f827,plain,
( sz00 = sdtasdt0(sK37(xa),sz00)
| ~ spl58_48 ),
inference(resolution,[],[f333,f682]) ).
fof(f1801,plain,
( spl58_186
| ~ spl58_47 ),
inference(avatar_split_clause,[],[f826,f675,f1798]) ).
fof(f1798,plain,
( spl58_186
<=> sz00 = sdtasdt0(sK37(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_186])]) ).
fof(f826,plain,
( sz00 = sdtasdt0(sK37(sz00),sz00)
| ~ spl58_47 ),
inference(resolution,[],[f333,f677]) ).
fof(f1796,plain,
( spl58_185
| ~ spl58_52 ),
inference(avatar_split_clause,[],[f825,f703,f1793]) ).
fof(f1793,plain,
( spl58_185
<=> sz00 = sdtasdt0(sK36(sK35),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_185])]) ).
fof(f825,plain,
( sz00 = sdtasdt0(sK36(sK35),sz00)
| ~ spl58_52 ),
inference(resolution,[],[f333,f705]) ).
fof(f1791,plain,
( spl58_184
| ~ spl58_51 ),
inference(avatar_split_clause,[],[f822,f698,f1788]) ).
fof(f1788,plain,
( spl58_184
<=> sz00 = sdtasdt0(sK36(xb),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_184])]) ).
fof(f822,plain,
( sz00 = sdtasdt0(sK36(xb),sz00)
| ~ spl58_51 ),
inference(resolution,[],[f333,f700]) ).
fof(f1786,plain,
( spl58_183
| ~ spl58_50 ),
inference(avatar_split_clause,[],[f821,f693,f1783]) ).
fof(f1783,plain,
( spl58_183
<=> sz00 = sdtasdt0(sK36(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_183])]) ).
fof(f821,plain,
( sz00 = sdtasdt0(sK36(sz00),sz00)
| ~ spl58_50 ),
inference(resolution,[],[f333,f695]) ).
fof(f1781,plain,
( spl58_182
| ~ spl58_42 ),
inference(avatar_split_clause,[],[f812,f647,f1778]) ).
fof(f1778,plain,
( spl58_182
<=> sz00 = sdtasdt0(sK22(sK34),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_182])]) ).
fof(f812,plain,
( sz00 = sdtasdt0(sK22(sK34),sz00)
| ~ spl58_42 ),
inference(resolution,[],[f333,f649]) ).
fof(f1776,plain,
( spl58_181
| ~ spl58_41 ),
inference(avatar_split_clause,[],[f809,f642,f1773]) ).
fof(f1773,plain,
( spl58_181
<=> sz00 = sdtasdt0(sK22(xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_181])]) ).
fof(f809,plain,
( sz00 = sdtasdt0(sK22(xa),sz00)
| ~ spl58_41 ),
inference(resolution,[],[f333,f644]) ).
fof(f1771,plain,
( spl58_180
| ~ spl58_40 ),
inference(avatar_split_clause,[],[f808,f637,f1768]) ).
fof(f1768,plain,
( spl58_180
<=> sz00 = sdtasdt0(sK22(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_180])]) ).
fof(f808,plain,
( sz00 = sdtasdt0(sK22(sz00),sz00)
| ~ spl58_40 ),
inference(resolution,[],[f333,f639]) ).
fof(f1766,plain,
( spl58_179
| ~ spl58_45 ),
inference(avatar_split_clause,[],[f807,f662,f1763]) ).
fof(f1763,plain,
( spl58_179
<=> sz00 = sdtasdt0(sK21(sK35),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_179])]) ).
fof(f807,plain,
( sz00 = sdtasdt0(sK21(sK35),sz00)
| ~ spl58_45 ),
inference(resolution,[],[f333,f664]) ).
fof(f1761,plain,
( spl58_178
| ~ spl58_44 ),
inference(avatar_split_clause,[],[f804,f657,f1758]) ).
fof(f1758,plain,
( spl58_178
<=> sz00 = sdtasdt0(sK21(xb),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_178])]) ).
fof(f804,plain,
( sz00 = sdtasdt0(sK21(xb),sz00)
| ~ spl58_44 ),
inference(resolution,[],[f333,f659]) ).
fof(f1754,plain,
( spl58_177
| ~ spl58_43 ),
inference(avatar_split_clause,[],[f803,f652,f1751]) ).
fof(f1751,plain,
( spl58_177
<=> sz00 = sdtasdt0(sK21(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_177])]) ).
fof(f803,plain,
( sz00 = sdtasdt0(sK21(sz00),sz00)
| ~ spl58_43 ),
inference(resolution,[],[f333,f654]) ).
fof(f1749,plain,
( spl58_176
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f1528,f485,f1746]) ).
fof(f1746,plain,
( spl58_176
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_176])]) ).
fof(f1744,plain,
( spl58_175
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f1527,f490,f1741]) ).
fof(f1741,plain,
( spl58_175
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_175])]) ).
fof(f1739,plain,
( spl58_174
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f1445,f485,f1736]) ).
fof(f1736,plain,
( spl58_174
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_174])]) ).
fof(f1734,plain,
( spl58_173
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f1444,f490,f1731]) ).
fof(f1731,plain,
( spl58_173
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_173])]) ).
fof(f1727,plain,
( spl58_172
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f1550,f465,f1724]) ).
fof(f1724,plain,
( spl58_172
<=> sz00 = sdtpldt0(smndt0(sK29),sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_172])]) ).
fof(f1550,plain,
( sz00 = sdtpldt0(smndt0(sK29),sK29)
| ~ spl58_8 ),
inference(resolution,[],[f340,f467]) ).
fof(f1722,plain,
( spl58_171
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f1549,f470,f1719]) ).
fof(f1719,plain,
( spl58_171
<=> sz00 = sdtpldt0(smndt0(sK28),sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_171])]) ).
fof(f1549,plain,
( sz00 = sdtpldt0(smndt0(sK28),sK28)
| ~ spl58_9 ),
inference(resolution,[],[f340,f472]) ).
fof(f1717,plain,
( spl58_170
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f1548,f475,f1714]) ).
fof(f1714,plain,
( spl58_170
<=> sz00 = sdtpldt0(smndt0(sK27),sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_170])]) ).
fof(f1548,plain,
( sz00 = sdtpldt0(smndt0(sK27),sK27)
| ~ spl58_10 ),
inference(resolution,[],[f340,f477]) ).
fof(f1712,plain,
( spl58_169
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f1547,f480,f1709]) ).
fof(f1709,plain,
( spl58_169
<=> sz00 = sdtpldt0(smndt0(sK26),sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_169])]) ).
fof(f1547,plain,
( sz00 = sdtpldt0(smndt0(sK26),sK26)
| ~ spl58_11 ),
inference(resolution,[],[f340,f482]) ).
fof(f1707,plain,
( spl58_168
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f1546,f444,f1704]) ).
fof(f1704,plain,
( spl58_168
<=> sz00 = sdtpldt0(smndt0(sK25),sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_168])]) ).
fof(f1546,plain,
( sz00 = sdtpldt0(smndt0(sK25),sK25)
| ~ spl58_4 ),
inference(resolution,[],[f340,f446]) ).
fof(f1702,plain,
( spl58_167
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f1545,f450,f1699]) ).
fof(f1699,plain,
( spl58_167
<=> sz00 = sdtpldt0(smndt0(sK24),sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_167])]) ).
fof(f1545,plain,
( sz00 = sdtpldt0(smndt0(sK24),sK24)
| ~ spl58_5 ),
inference(resolution,[],[f340,f452]) ).
fof(f1684,plain,
( spl58_166
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f1532,f439,f1681]) ).
fof(f1681,plain,
( spl58_166
<=> sz00 = sdtpldt0(smndt0(xc),xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_166])]) ).
fof(f1532,plain,
( sz00 = sdtpldt0(smndt0(xc),xc)
| ~ spl58_3 ),
inference(resolution,[],[f340,f441]) ).
fof(f1679,plain,
( spl58_165
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f1531,f460,f1676]) ).
fof(f1676,plain,
( spl58_165
<=> sz00 = sdtpldt0(smndt0(xb),xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_165])]) ).
fof(f1674,plain,
( spl58_164
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f1530,f455,f1671]) ).
fof(f1671,plain,
( spl58_164
<=> sz00 = sdtpldt0(smndt0(xa),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_164])]) ).
fof(f1669,plain,
( spl58_163
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f1467,f465,f1666]) ).
fof(f1666,plain,
( spl58_163
<=> sz00 = sdtpldt0(sK29,smndt0(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_163])]) ).
fof(f1467,plain,
( sz00 = sdtpldt0(sK29,smndt0(sK29))
| ~ spl58_8 ),
inference(resolution,[],[f339,f467]) ).
fof(f1664,plain,
( spl58_162
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f1466,f470,f1661]) ).
fof(f1661,plain,
( spl58_162
<=> sz00 = sdtpldt0(sK28,smndt0(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_162])]) ).
fof(f1466,plain,
( sz00 = sdtpldt0(sK28,smndt0(sK28))
| ~ spl58_9 ),
inference(resolution,[],[f339,f472]) ).
fof(f1659,plain,
( spl58_161
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f1465,f475,f1656]) ).
fof(f1656,plain,
( spl58_161
<=> sz00 = sdtpldt0(sK27,smndt0(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_161])]) ).
fof(f1465,plain,
( sz00 = sdtpldt0(sK27,smndt0(sK27))
| ~ spl58_10 ),
inference(resolution,[],[f339,f477]) ).
fof(f1654,plain,
( spl58_160
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f1464,f480,f1651]) ).
fof(f1651,plain,
( spl58_160
<=> sz00 = sdtpldt0(sK26,smndt0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_160])]) ).
fof(f1464,plain,
( sz00 = sdtpldt0(sK26,smndt0(sK26))
| ~ spl58_11 ),
inference(resolution,[],[f339,f482]) ).
fof(f1649,plain,
( spl58_159
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f1463,f444,f1646]) ).
fof(f1646,plain,
( spl58_159
<=> sz00 = sdtpldt0(sK25,smndt0(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_159])]) ).
fof(f1463,plain,
( sz00 = sdtpldt0(sK25,smndt0(sK25))
| ~ spl58_4 ),
inference(resolution,[],[f339,f446]) ).
fof(f1644,plain,
( spl58_158
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f1462,f450,f1641]) ).
fof(f1641,plain,
( spl58_158
<=> sz00 = sdtpldt0(sK24,smndt0(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_158])]) ).
fof(f1462,plain,
( sz00 = sdtpldt0(sK24,smndt0(sK24))
| ~ spl58_5 ),
inference(resolution,[],[f339,f452]) ).
fof(f1639,plain,
( spl58_157
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f1449,f439,f1636]) ).
fof(f1636,plain,
( spl58_157
<=> sz00 = sdtpldt0(xc,smndt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_157])]) ).
fof(f1449,plain,
( sz00 = sdtpldt0(xc,smndt0(xc))
| ~ spl58_3 ),
inference(resolution,[],[f339,f441]) ).
fof(f1634,plain,
( spl58_156
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f1448,f460,f1631]) ).
fof(f1631,plain,
( spl58_156
<=> sz00 = sdtpldt0(xb,smndt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_156])]) ).
fof(f1629,plain,
( spl58_155
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f1447,f455,f1626]) ).
fof(f1626,plain,
( spl58_155
<=> sz00 = sdtpldt0(xa,smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_155])]) ).
fof(f1608,plain,
( spl58_154
| ~ spl58_56
| ~ spl58_64 ),
inference(avatar_split_clause,[],[f1598,f846,f736,f1605]) ).
fof(f1598,plain,
( aElement0(sK20(sK30))
| ~ spl58_56
| ~ spl58_64 ),
inference(resolution,[],[f1368,f738]) ).
fof(f1603,plain,
( spl58_153
| ~ spl58_54
| ~ spl58_64 ),
inference(avatar_split_clause,[],[f1597,f846,f714,f1600]) ).
fof(f1597,plain,
( aElement0(sK20(sK33))
| ~ spl58_54
| ~ spl58_64 ),
inference(resolution,[],[f1368,f716]) ).
fof(f1579,plain,
( spl58_152
| ~ spl58_56
| ~ spl58_62 ),
inference(avatar_split_clause,[],[f1569,f833,f736,f1576]) ).
fof(f1569,plain,
( aElement0(sK19(sK30))
| ~ spl58_56
| ~ spl58_62 ),
inference(resolution,[],[f1329,f738]) ).
fof(f1574,plain,
( spl58_151
| ~ spl58_54
| ~ spl58_62 ),
inference(avatar_split_clause,[],[f1568,f833,f714,f1571]) ).
fof(f1568,plain,
( aElement0(sK19(sK33))
| ~ spl58_54
| ~ spl58_62 ),
inference(resolution,[],[f1329,f716]) ).
fof(f1526,plain,
( spl58_150
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f1173,f850,f1523]) ).
fof(f1523,plain,
( spl58_150
<=> sK35 = sdtasdt0(sz10,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_150])]) ).
fof(f1173,plain,
( sK35 = sdtasdt0(sz10,sK35)
| ~ spl58_65 ),
inference(resolution,[],[f338,f852]) ).
fof(f1521,plain,
( spl58_149
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f1172,f837,f1518]) ).
fof(f1518,plain,
( spl58_149
<=> sK34 = sdtasdt0(sz10,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_149])]) ).
fof(f1172,plain,
( sK34 = sdtasdt0(sz10,sK34)
| ~ spl58_63 ),
inference(resolution,[],[f338,f839]) ).
fof(f1516,plain,
( spl58_148
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f1171,f788,f1513]) ).
fof(f1513,plain,
( spl58_148
<=> sK33 = sdtasdt0(sz10,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_148])]) ).
fof(f1171,plain,
( sK33 = sdtasdt0(sz10,sK33)
| ~ spl58_60 ),
inference(resolution,[],[f338,f790]) ).
fof(f1511,plain,
( spl58_147
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f1170,f793,f1508]) ).
fof(f1508,plain,
( spl58_147
<=> sK30 = sdtasdt0(sz10,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_147])]) ).
fof(f1170,plain,
( sK30 = sdtasdt0(sz10,sK30)
| ~ spl58_61 ),
inference(resolution,[],[f338,f795]) ).
fof(f1506,plain,
( spl58_146
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f1110,f850,f1503]) ).
fof(f1503,plain,
( spl58_146
<=> sK35 = sdtasdt0(sK35,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_146])]) ).
fof(f1110,plain,
( sK35 = sdtasdt0(sK35,sz10)
| ~ spl58_65 ),
inference(resolution,[],[f337,f852]) ).
fof(f1501,plain,
( spl58_145
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f1109,f837,f1498]) ).
fof(f1498,plain,
( spl58_145
<=> sK34 = sdtasdt0(sK34,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_145])]) ).
fof(f1109,plain,
( sK34 = sdtasdt0(sK34,sz10)
| ~ spl58_63 ),
inference(resolution,[],[f337,f839]) ).
fof(f1496,plain,
( spl58_144
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f1108,f788,f1493]) ).
fof(f1493,plain,
( spl58_144
<=> sK33 = sdtasdt0(sK33,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_144])]) ).
fof(f1108,plain,
( sK33 = sdtasdt0(sK33,sz10)
| ~ spl58_60 ),
inference(resolution,[],[f337,f790]) ).
fof(f1491,plain,
( spl58_143
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f1107,f793,f1488]) ).
fof(f1488,plain,
( spl58_143
<=> sK30 = sdtasdt0(sK30,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_143])]) ).
fof(f1107,plain,
( sK30 = sdtasdt0(sK30,sz10)
| ~ spl58_61 ),
inference(resolution,[],[f337,f795]) ).
fof(f1486,plain,
( spl58_142
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f1052,f850,f1483]) ).
fof(f1483,plain,
( spl58_142
<=> sK35 = sdtpldt0(sz00,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_142])]) ).
fof(f1052,plain,
( sK35 = sdtpldt0(sz00,sK35)
| ~ spl58_65 ),
inference(resolution,[],[f336,f852]) ).
fof(f1443,plain,
( spl58_141
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f1051,f837,f1440]) ).
fof(f1440,plain,
( spl58_141
<=> sK34 = sdtpldt0(sz00,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_141])]) ).
fof(f1051,plain,
( sK34 = sdtpldt0(sz00,sK34)
| ~ spl58_63 ),
inference(resolution,[],[f336,f839]) ).
fof(f1438,plain,
( spl58_140
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f1050,f788,f1435]) ).
fof(f1435,plain,
( spl58_140
<=> sK33 = sdtpldt0(sz00,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_140])]) ).
fof(f1050,plain,
( sK33 = sdtpldt0(sz00,sK33)
| ~ spl58_60 ),
inference(resolution,[],[f336,f790]) ).
fof(f1433,plain,
( spl58_139
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f1049,f793,f1430]) ).
fof(f1430,plain,
( spl58_139
<=> sK30 = sdtpldt0(sz00,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_139])]) ).
fof(f1049,plain,
( sK30 = sdtpldt0(sz00,sK30)
| ~ spl58_61 ),
inference(resolution,[],[f336,f795]) ).
fof(f1428,plain,
( spl58_138
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f974,f850,f1425]) ).
fof(f1425,plain,
( spl58_138
<=> sK35 = sdtpldt0(sK35,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_138])]) ).
fof(f974,plain,
( sK35 = sdtpldt0(sK35,sz00)
| ~ spl58_65 ),
inference(resolution,[],[f335,f852]) ).
fof(f1423,plain,
( spl58_137
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f973,f837,f1420]) ).
fof(f1420,plain,
( spl58_137
<=> sK34 = sdtpldt0(sK34,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_137])]) ).
fof(f973,plain,
( sK34 = sdtpldt0(sK34,sz00)
| ~ spl58_63 ),
inference(resolution,[],[f335,f839]) ).
fof(f1418,plain,
( spl58_136
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f972,f788,f1415]) ).
fof(f1415,plain,
( spl58_136
<=> sK33 = sdtpldt0(sK33,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_136])]) ).
fof(f972,plain,
( sK33 = sdtpldt0(sK33,sz00)
| ~ spl58_60 ),
inference(resolution,[],[f335,f790]) ).
fof(f1413,plain,
( spl58_135
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f971,f793,f1410]) ).
fof(f1410,plain,
( spl58_135
<=> sK30 = sdtpldt0(sK30,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_135])]) ).
fof(f971,plain,
( sK30 = sdtpldt0(sK30,sz00)
| ~ spl58_61 ),
inference(resolution,[],[f335,f795]) ).
fof(f1408,plain,
( spl58_134
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f884,f850,f1405]) ).
fof(f1405,plain,
( spl58_134
<=> sz00 = sdtasdt0(sz00,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_134])]) ).
fof(f884,plain,
( sz00 = sdtasdt0(sz00,sK35)
| ~ spl58_65 ),
inference(resolution,[],[f334,f852]) ).
fof(f1403,plain,
( spl58_133
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f883,f837,f1400]) ).
fof(f1400,plain,
( spl58_133
<=> sz00 = sdtasdt0(sz00,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_133])]) ).
fof(f883,plain,
( sz00 = sdtasdt0(sz00,sK34)
| ~ spl58_63 ),
inference(resolution,[],[f334,f839]) ).
fof(f1398,plain,
( spl58_132
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f882,f788,f1395]) ).
fof(f1395,plain,
( spl58_132
<=> sz00 = sdtasdt0(sz00,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_132])]) ).
fof(f882,plain,
( sz00 = sdtasdt0(sz00,sK33)
| ~ spl58_60 ),
inference(resolution,[],[f334,f790]) ).
fof(f1393,plain,
( spl58_131
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f881,f793,f1390]) ).
fof(f881,plain,
( sz00 = sdtasdt0(sz00,sK30)
| ~ spl58_61 ),
inference(resolution,[],[f334,f795]) ).
fof(f1388,plain,
( spl58_130
| ~ spl58_65 ),
inference(avatar_split_clause,[],[f857,f850,f1385]) ).
fof(f1385,plain,
( spl58_130
<=> sz00 = sdtasdt0(sK35,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_130])]) ).
fof(f857,plain,
( sz00 = sdtasdt0(sK35,sz00)
| ~ spl58_65 ),
inference(resolution,[],[f852,f333]) ).
fof(f1383,plain,
( spl58_129
| ~ spl58_63 ),
inference(avatar_split_clause,[],[f844,f837,f1380]) ).
fof(f1380,plain,
( spl58_129
<=> sz00 = sdtasdt0(sK34,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_129])]) ).
fof(f844,plain,
( sz00 = sdtasdt0(sK34,sz00)
| ~ spl58_63 ),
inference(resolution,[],[f839,f333]) ).
fof(f1378,plain,
( spl58_128
| ~ spl58_61 ),
inference(avatar_split_clause,[],[f831,f793,f1375]) ).
fof(f1375,plain,
( spl58_128
<=> sz00 = sdtasdt0(sK30,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_128])]) ).
fof(f831,plain,
( sz00 = sdtasdt0(sK30,sz00)
| ~ spl58_61 ),
inference(resolution,[],[f795,f333]) ).
fof(f1373,plain,
( spl58_127
| ~ spl58_60 ),
inference(avatar_split_clause,[],[f820,f788,f1370]) ).
fof(f1370,plain,
( spl58_127
<=> sz00 = sdtasdt0(sK33,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_127])]) ).
fof(f820,plain,
( sz00 = sdtasdt0(sK33,sz00)
| ~ spl58_60 ),
inference(resolution,[],[f333,f790]) ).
fof(f1364,plain,
( spl58_126
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f1147,f485,f1359]) ).
fof(f1359,plain,
( spl58_126
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_126])]) ).
fof(f1363,plain,
( spl58_121
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f1146,f490,f1331]) ).
fof(f1331,plain,
( spl58_121
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_121])]) ).
fof(f1362,plain,
( spl58_126
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f1084,f485,f1359]) ).
fof(f1357,plain,
( spl58_122
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f1083,f490,f1337]) ).
fof(f1337,plain,
( spl58_122
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_122])]) ).
fof(f1356,plain,
( spl58_125
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f1026,f485,f1353]) ).
fof(f1353,plain,
( spl58_125
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_125])]) ).
fof(f1351,plain,
( spl58_123
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f1025,f490,f1342]) ).
fof(f1342,plain,
( spl58_123
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_123])]) ).
fof(f1350,plain,
( spl58_124
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f948,f485,f1347]) ).
fof(f1347,plain,
( spl58_124
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_124])]) ).
fof(f1345,plain,
( spl58_123
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f947,f490,f1342]) ).
fof(f1340,plain,
( spl58_122
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f859,f485,f1337]) ).
fof(f1335,plain,
( spl58_120
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f858,f490,f1322]) ).
fof(f1322,plain,
( spl58_120
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_120])]) ).
fof(f1334,plain,
( spl58_121
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f798,f485,f1331]) ).
fof(f1325,plain,
( spl58_120
| ~ spl58_13 ),
inference(avatar_split_clause,[],[f797,f490,f1322]) ).
fof(f1320,plain,
( spl58_119
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f1169,f465,f1317]) ).
fof(f1169,plain,
( sK29 = sdtasdt0(sz10,sK29)
| ~ spl58_8 ),
inference(resolution,[],[f338,f467]) ).
fof(f1315,plain,
( spl58_118
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f1168,f470,f1312]) ).
fof(f1168,plain,
( sK28 = sdtasdt0(sz10,sK28)
| ~ spl58_9 ),
inference(resolution,[],[f338,f472]) ).
fof(f1310,plain,
( spl58_117
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f1167,f475,f1307]) ).
fof(f1167,plain,
( sK27 = sdtasdt0(sz10,sK27)
| ~ spl58_10 ),
inference(resolution,[],[f338,f477]) ).
fof(f1305,plain,
( spl58_116
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f1166,f480,f1302]) ).
fof(f1166,plain,
( sK26 = sdtasdt0(sz10,sK26)
| ~ spl58_11 ),
inference(resolution,[],[f338,f482]) ).
fof(f1300,plain,
( spl58_115
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f1165,f444,f1297]) ).
fof(f1165,plain,
( sK25 = sdtasdt0(sz10,sK25)
| ~ spl58_4 ),
inference(resolution,[],[f338,f446]) ).
fof(f1295,plain,
( spl58_114
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f1164,f450,f1292]) ).
fof(f1164,plain,
( sK24 = sdtasdt0(sz10,sK24)
| ~ spl58_5 ),
inference(resolution,[],[f338,f452]) ).
fof(f1290,plain,
( spl58_113
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f1151,f439,f1287]) ).
fof(f1151,plain,
( xc = sdtasdt0(sz10,xc)
| ~ spl58_3 ),
inference(resolution,[],[f338,f441]) ).
fof(f1285,plain,
( spl58_112
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f1150,f460,f1282]) ).
fof(f1280,plain,
( spl58_111
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f1149,f455,f1277]) ).
fof(f1275,plain,
( spl58_110
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f1106,f465,f1272]) ).
fof(f1272,plain,
( spl58_110
<=> sK29 = sdtasdt0(sK29,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_110])]) ).
fof(f1106,plain,
( sK29 = sdtasdt0(sK29,sz10)
| ~ spl58_8 ),
inference(resolution,[],[f337,f467]) ).
fof(f1270,plain,
( spl58_109
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f1105,f470,f1267]) ).
fof(f1267,plain,
( spl58_109
<=> sK28 = sdtasdt0(sK28,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_109])]) ).
fof(f1105,plain,
( sK28 = sdtasdt0(sK28,sz10)
| ~ spl58_9 ),
inference(resolution,[],[f337,f472]) ).
fof(f1265,plain,
( spl58_108
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f1104,f475,f1262]) ).
fof(f1262,plain,
( spl58_108
<=> sK27 = sdtasdt0(sK27,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_108])]) ).
fof(f1104,plain,
( sK27 = sdtasdt0(sK27,sz10)
| ~ spl58_10 ),
inference(resolution,[],[f337,f477]) ).
fof(f1260,plain,
( spl58_107
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f1103,f480,f1257]) ).
fof(f1257,plain,
( spl58_107
<=> sK26 = sdtasdt0(sK26,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_107])]) ).
fof(f1103,plain,
( sK26 = sdtasdt0(sK26,sz10)
| ~ spl58_11 ),
inference(resolution,[],[f337,f482]) ).
fof(f1255,plain,
( spl58_106
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f1102,f444,f1252]) ).
fof(f1252,plain,
( spl58_106
<=> sK25 = sdtasdt0(sK25,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_106])]) ).
fof(f1102,plain,
( sK25 = sdtasdt0(sK25,sz10)
| ~ spl58_4 ),
inference(resolution,[],[f337,f446]) ).
fof(f1250,plain,
( spl58_105
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f1101,f450,f1247]) ).
fof(f1247,plain,
( spl58_105
<=> sK24 = sdtasdt0(sK24,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_105])]) ).
fof(f1101,plain,
( sK24 = sdtasdt0(sK24,sz10)
| ~ spl58_5 ),
inference(resolution,[],[f337,f452]) ).
fof(f1245,plain,
( spl58_104
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f1088,f439,f1242]) ).
fof(f1242,plain,
( spl58_104
<=> xc = sdtasdt0(xc,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_104])]) ).
fof(f1088,plain,
( xc = sdtasdt0(xc,sz10)
| ~ spl58_3 ),
inference(resolution,[],[f337,f441]) ).
fof(f1240,plain,
( spl58_103
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f1087,f460,f1237]) ).
fof(f1237,plain,
( spl58_103
<=> xb = sdtasdt0(xb,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_103])]) ).
fof(f1235,plain,
( spl58_102
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f1086,f455,f1232]) ).
fof(f1228,plain,
( spl58_101
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f1048,f465,f1225]) ).
fof(f1225,plain,
( spl58_101
<=> sK29 = sdtpldt0(sz00,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_101])]) ).
fof(f1048,plain,
( sK29 = sdtpldt0(sz00,sK29)
| ~ spl58_8 ),
inference(resolution,[],[f336,f467]) ).
fof(f1223,plain,
( spl58_100
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f1047,f470,f1220]) ).
fof(f1220,plain,
( spl58_100
<=> sK28 = sdtpldt0(sz00,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_100])]) ).
fof(f1047,plain,
( sK28 = sdtpldt0(sz00,sK28)
| ~ spl58_9 ),
inference(resolution,[],[f336,f472]) ).
fof(f1218,plain,
( spl58_99
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f1046,f475,f1215]) ).
fof(f1215,plain,
( spl58_99
<=> sK27 = sdtpldt0(sz00,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_99])]) ).
fof(f1046,plain,
( sK27 = sdtpldt0(sz00,sK27)
| ~ spl58_10 ),
inference(resolution,[],[f336,f477]) ).
fof(f1213,plain,
( spl58_98
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f1045,f480,f1210]) ).
fof(f1210,plain,
( spl58_98
<=> sK26 = sdtpldt0(sz00,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_98])]) ).
fof(f1045,plain,
( sK26 = sdtpldt0(sz00,sK26)
| ~ spl58_11 ),
inference(resolution,[],[f336,f482]) ).
fof(f1208,plain,
( spl58_97
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f1044,f444,f1205]) ).
fof(f1205,plain,
( spl58_97
<=> sK25 = sdtpldt0(sz00,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_97])]) ).
fof(f1044,plain,
( sK25 = sdtpldt0(sz00,sK25)
| ~ spl58_4 ),
inference(resolution,[],[f336,f446]) ).
fof(f1203,plain,
( spl58_96
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f1043,f450,f1200]) ).
fof(f1200,plain,
( spl58_96
<=> sK24 = sdtpldt0(sz00,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_96])]) ).
fof(f1043,plain,
( sK24 = sdtpldt0(sz00,sK24)
| ~ spl58_5 ),
inference(resolution,[],[f336,f452]) ).
fof(f1198,plain,
( spl58_95
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f1030,f439,f1195]) ).
fof(f1195,plain,
( spl58_95
<=> xc = sdtpldt0(sz00,xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_95])]) ).
fof(f1030,plain,
( xc = sdtpldt0(sz00,xc)
| ~ spl58_3 ),
inference(resolution,[],[f336,f441]) ).
fof(f1193,plain,
( spl58_94
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f1029,f460,f1190]) ).
fof(f1190,plain,
( spl58_94
<=> xb = sdtpldt0(sz00,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_94])]) ).
fof(f1188,plain,
( spl58_93
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f1028,f455,f1185]) ).
fof(f1185,plain,
( spl58_93
<=> xa = sdtpldt0(sz00,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_93])]) ).
fof(f1145,plain,
( spl58_92
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f970,f465,f1142]) ).
fof(f1142,plain,
( spl58_92
<=> sK29 = sdtpldt0(sK29,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_92])]) ).
fof(f970,plain,
( sK29 = sdtpldt0(sK29,sz00)
| ~ spl58_8 ),
inference(resolution,[],[f335,f467]) ).
fof(f1140,plain,
( spl58_91
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f969,f470,f1137]) ).
fof(f1137,plain,
( spl58_91
<=> sK28 = sdtpldt0(sK28,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_91])]) ).
fof(f969,plain,
( sK28 = sdtpldt0(sK28,sz00)
| ~ spl58_9 ),
inference(resolution,[],[f335,f472]) ).
fof(f1135,plain,
( spl58_90
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f968,f475,f1132]) ).
fof(f1132,plain,
( spl58_90
<=> sK27 = sdtpldt0(sK27,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_90])]) ).
fof(f968,plain,
( sK27 = sdtpldt0(sK27,sz00)
| ~ spl58_10 ),
inference(resolution,[],[f335,f477]) ).
fof(f1130,plain,
( spl58_89
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f967,f480,f1127]) ).
fof(f1127,plain,
( spl58_89
<=> sK26 = sdtpldt0(sK26,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_89])]) ).
fof(f967,plain,
( sK26 = sdtpldt0(sK26,sz00)
| ~ spl58_11 ),
inference(resolution,[],[f335,f482]) ).
fof(f1125,plain,
( spl58_88
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f966,f444,f1122]) ).
fof(f1122,plain,
( spl58_88
<=> sK25 = sdtpldt0(sK25,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_88])]) ).
fof(f966,plain,
( sK25 = sdtpldt0(sK25,sz00)
| ~ spl58_4 ),
inference(resolution,[],[f335,f446]) ).
fof(f1082,plain,
( spl58_87
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f965,f450,f1079]) ).
fof(f1079,plain,
( spl58_87
<=> sK24 = sdtpldt0(sK24,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_87])]) ).
fof(f965,plain,
( sK24 = sdtpldt0(sK24,sz00)
| ~ spl58_5 ),
inference(resolution,[],[f335,f452]) ).
fof(f1077,plain,
( spl58_86
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f952,f439,f1074]) ).
fof(f1074,plain,
( spl58_86
<=> xc = sdtpldt0(xc,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_86])]) ).
fof(f952,plain,
( xc = sdtpldt0(xc,sz00)
| ~ spl58_3 ),
inference(resolution,[],[f335,f441]) ).
fof(f1072,plain,
( spl58_85
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f951,f460,f1069]) ).
fof(f1069,plain,
( spl58_85
<=> xb = sdtpldt0(xb,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_85])]) ).
fof(f1067,plain,
( spl58_84
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f950,f455,f1064]) ).
fof(f1064,plain,
( spl58_84
<=> xa = sdtpldt0(xa,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_84])]) ).
fof(f1024,plain,
( spl58_83
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f880,f465,f1021]) ).
fof(f1021,plain,
( spl58_83
<=> sz00 = sdtasdt0(sz00,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_83])]) ).
fof(f880,plain,
( sz00 = sdtasdt0(sz00,sK29)
| ~ spl58_8 ),
inference(resolution,[],[f334,f467]) ).
fof(f1019,plain,
( spl58_82
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f879,f470,f1016]) ).
fof(f1016,plain,
( spl58_82
<=> sz00 = sdtasdt0(sz00,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_82])]) ).
fof(f879,plain,
( sz00 = sdtasdt0(sz00,sK28)
| ~ spl58_9 ),
inference(resolution,[],[f334,f472]) ).
fof(f1014,plain,
( spl58_81
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f878,f475,f1011]) ).
fof(f1011,plain,
( spl58_81
<=> sz00 = sdtasdt0(sz00,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_81])]) ).
fof(f878,plain,
( sz00 = sdtasdt0(sz00,sK27)
| ~ spl58_10 ),
inference(resolution,[],[f334,f477]) ).
fof(f1009,plain,
( spl58_80
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f877,f480,f1006]) ).
fof(f1006,plain,
( spl58_80
<=> sz00 = sdtasdt0(sz00,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_80])]) ).
fof(f877,plain,
( sz00 = sdtasdt0(sz00,sK26)
| ~ spl58_11 ),
inference(resolution,[],[f334,f482]) ).
fof(f1004,plain,
( spl58_79
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f876,f444,f1001]) ).
fof(f1001,plain,
( spl58_79
<=> sz00 = sdtasdt0(sz00,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_79])]) ).
fof(f876,plain,
( sz00 = sdtasdt0(sz00,sK25)
| ~ spl58_4 ),
inference(resolution,[],[f334,f446]) ).
fof(f999,plain,
( spl58_78
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f875,f450,f996]) ).
fof(f996,plain,
( spl58_78
<=> sz00 = sdtasdt0(sz00,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_78])]) ).
fof(f875,plain,
( sz00 = sdtasdt0(sz00,sK24)
| ~ spl58_5 ),
inference(resolution,[],[f334,f452]) ).
fof(f994,plain,
( spl58_77
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f863,f439,f991]) ).
fof(f991,plain,
( spl58_77
<=> sz00 = sdtasdt0(sz00,xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_77])]) ).
fof(f863,plain,
( sz00 = sdtasdt0(sz00,xc)
| ~ spl58_3 ),
inference(resolution,[],[f334,f441]) ).
fof(f989,plain,
( spl58_76
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f862,f460,f986]) ).
fof(f986,plain,
( spl58_76
<=> sz00 = sdtasdt0(sz00,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_76])]) ).
fof(f946,plain,
( spl58_75
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f861,f455,f943]) ).
fof(f943,plain,
( spl58_75
<=> sz00 = sdtasdt0(sz00,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_75])]) ).
fof(f941,plain,
( spl58_74
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f819,f465,f938]) ).
fof(f938,plain,
( spl58_74
<=> sz00 = sdtasdt0(sK29,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_74])]) ).
fof(f819,plain,
( sz00 = sdtasdt0(sK29,sz00)
| ~ spl58_8 ),
inference(resolution,[],[f333,f467]) ).
fof(f936,plain,
( spl58_73
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f818,f470,f933]) ).
fof(f933,plain,
( spl58_73
<=> sz00 = sdtasdt0(sK28,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_73])]) ).
fof(f818,plain,
( sz00 = sdtasdt0(sK28,sz00)
| ~ spl58_9 ),
inference(resolution,[],[f333,f472]) ).
fof(f931,plain,
( spl58_72
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f817,f475,f928]) ).
fof(f928,plain,
( spl58_72
<=> sz00 = sdtasdt0(sK27,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_72])]) ).
fof(f817,plain,
( sz00 = sdtasdt0(sK27,sz00)
| ~ spl58_10 ),
inference(resolution,[],[f333,f477]) ).
fof(f926,plain,
( spl58_71
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f816,f480,f923]) ).
fof(f923,plain,
( spl58_71
<=> sz00 = sdtasdt0(sK26,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_71])]) ).
fof(f816,plain,
( sz00 = sdtasdt0(sK26,sz00)
| ~ spl58_11 ),
inference(resolution,[],[f333,f482]) ).
fof(f921,plain,
( spl58_70
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f815,f444,f918]) ).
fof(f918,plain,
( spl58_70
<=> sz00 = sdtasdt0(sK25,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_70])]) ).
fof(f815,plain,
( sz00 = sdtasdt0(sK25,sz00)
| ~ spl58_4 ),
inference(resolution,[],[f333,f446]) ).
fof(f916,plain,
( spl58_69
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f814,f450,f913]) ).
fof(f913,plain,
( spl58_69
<=> sz00 = sdtasdt0(sK24,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_69])]) ).
fof(f814,plain,
( sz00 = sdtasdt0(sK24,sz00)
| ~ spl58_5 ),
inference(resolution,[],[f333,f452]) ).
fof(f911,plain,
( spl58_68
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f802,f439,f908]) ).
fof(f908,plain,
( spl58_68
<=> sz00 = sdtasdt0(xc,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_68])]) ).
fof(f802,plain,
( sz00 = sdtasdt0(xc,sz00)
| ~ spl58_3 ),
inference(resolution,[],[f333,f441]) ).
fof(f906,plain,
( spl58_67
| ~ spl58_7 ),
inference(avatar_split_clause,[],[f801,f460,f903]) ).
fof(f903,plain,
( spl58_67
<=> sz00 = sdtasdt0(xb,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_67])]) ).
fof(f901,plain,
( spl58_66
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f800,f455,f898]) ).
fof(f898,plain,
( spl58_66
<=> sz00 = sdtasdt0(xa,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_66])]) ).
fof(f856,plain,
( ~ spl58_7
| spl58_64 ),
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f855,plain,
( $false
| ~ spl58_7
| spl58_64 ),
inference(subsumption_resolution,[],[f854,f462]) ).
fof(f854,plain,
( ~ aElement0(xb)
| spl58_64 ),
inference(resolution,[],[f848,f617]) ).
fof(f848,plain,
( ~ aSet0(slsdtgt0(xb))
| spl58_64 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f853,plain,
( ~ spl58_64
| spl58_65
| ~ spl58_28 ),
inference(avatar_split_clause,[],[f780,f564,f850,f846]) ).
fof(f780,plain,
( aElement0(sK35)
| ~ aSet0(slsdtgt0(xb))
| ~ spl58_28 ),
inference(resolution,[],[f330,f566]) ).
fof(f843,plain,
( ~ spl58_6
| spl58_62 ),
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f842,plain,
( $false
| ~ spl58_6
| spl58_62 ),
inference(subsumption_resolution,[],[f841,f457]) ).
fof(f841,plain,
( ~ aElement0(xa)
| spl58_62 ),
inference(resolution,[],[f835,f617]) ).
fof(f835,plain,
( ~ aSet0(slsdtgt0(xa))
| spl58_62 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f840,plain,
( ~ spl58_62
| spl58_63
| ~ spl58_27 ),
inference(avatar_split_clause,[],[f775,f559,f837,f833]) ).
fof(f775,plain,
( aElement0(sK34)
| ~ aSet0(slsdtgt0(xa))
| ~ spl58_27 ),
inference(resolution,[],[f330,f561]) ).
fof(f796,plain,
( spl58_61
| ~ spl58_1
| ~ spl58_56 ),
inference(avatar_split_clause,[],[f786,f736,f429,f793]) ).
fof(f429,plain,
( spl58_1
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_1])]) ).
fof(f786,plain,
( aElement0(sK30)
| ~ spl58_1
| ~ spl58_56 ),
inference(subsumption_resolution,[],[f783,f431]) ).
fof(f431,plain,
( aSet0(xI)
| ~ spl58_1 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f783,plain,
( aElement0(sK30)
| ~ aSet0(xI)
| ~ spl58_56 ),
inference(resolution,[],[f330,f738]) ).
fof(f791,plain,
( spl58_60
| ~ spl58_1
| ~ spl58_54 ),
inference(avatar_split_clause,[],[f785,f714,f429,f788]) ).
fof(f785,plain,
( aElement0(sK33)
| ~ spl58_1
| ~ spl58_54 ),
inference(subsumption_resolution,[],[f782,f431]) ).
fof(f782,plain,
( aElement0(sK33)
| ~ aSet0(xI)
| ~ spl58_54 ),
inference(resolution,[],[f330,f716]) ).
fof(f761,plain,
( spl58_59
| ~ spl58_56
| spl58_57 ),
inference(avatar_split_clause,[],[f751,f742,f736,f758]) ).
fof(f742,plain,
( spl58_57
<=> sz00 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl58_57])]) ).
fof(f751,plain,
( sP1(sK30)
| ~ spl58_56
| spl58_57 ),
inference(subsumption_resolution,[],[f748,f744]) ).
fof(f744,plain,
( sz00 != sK30
| spl58_57 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f748,plain,
( sz00 = sK30
| sP1(sK30)
| ~ spl58_56 ),
inference(resolution,[],[f254,f738]) ).
fof(f756,plain,
( spl58_58
| spl58_18
| ~ spl58_54 ),
inference(avatar_split_clause,[],[f750,f714,f515,f753]) ).
fof(f753,plain,
( spl58_58
<=> sP1(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_58])]) ).
fof(f515,plain,
( spl58_18
<=> sz00 = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl58_18])]) ).
fof(f750,plain,
( sP1(sK33)
| spl58_18
| ~ spl58_54 ),
inference(subsumption_resolution,[],[f747,f517]) ).
fof(f517,plain,
( sz00 != sK33
| spl58_18 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f747,plain,
( sz00 = sK33
| sP1(sK33)
| ~ spl58_54 ),
inference(resolution,[],[f254,f716]) ).
fof(f745,plain,
( ~ spl58_57
| ~ spl58_19 ),
inference(avatar_split_clause,[],[f740,f520,f742]) ).
fof(f520,plain,
( spl58_19
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl58_19])]) ).
fof(f740,plain,
( sz00 != sK30
| ~ spl58_19 ),
inference(subsumption_resolution,[],[f307,f521]) ).
fof(f521,plain,
( sP6
| ~ spl58_19 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f739,plain,
( spl58_56
| ~ spl58_19 ),
inference(avatar_split_clause,[],[f734,f520,f736]) ).
fof(f734,plain,
( aElementOf0(sK30,xI)
| ~ spl58_19 ),
inference(subsumption_resolution,[],[f306,f521]) ).
fof(f733,plain,
( spl58_55
| ~ spl58_19 ),
inference(avatar_split_clause,[],[f728,f520,f730]) ).
fof(f728,plain,
( sP5(sK30)
| ~ spl58_19 ),
inference(subsumption_resolution,[],[f308,f521]) ).
fof(f727,plain,
( spl58_18
| spl58_19
| ~ spl58_54 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| spl58_18
| spl58_19
| ~ spl58_54 ),
inference(subsumption_resolution,[],[f724,f517]) ).
fof(f724,plain,
( sz00 = sK33
| spl58_19
| ~ spl58_54 ),
inference(resolution,[],[f722,f716]) ).
fof(f722,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0 )
| spl58_19 ),
inference(global_subsumption,[],[f249,f252,f251,f250,f253,f268,f267,f266,f265,f264,f263,f261,f260,f257,f256,f270,f274,f273,f287,f308,f307,f306,f310,f309,f313,f312,f311,f315,f314,f321,f320,f318,f317,f330,f334,f333,f336,f335,f338,f337,f340,f339,f342,f341,f345,f344,f343,f347,f346,f354,f353,f352,f351,f350,f349,f356,f362,f361,f360,f359,f358,f357,f366,f365,f364,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f380,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f392,f393,f396,f395,f394,f398,f397,f402,f401,f400,f399,f403,f404,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f416,f415,f421,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f327,f328,f279,f280,f284,f285,f326,f305,f522,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f259,f262,f269,f286,f288,f316,f319,f325,f721,f254]) ).
fof(f721,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI) )
| spl58_19 ),
inference(subsumption_resolution,[],[f315,f522]) ).
fof(f522,plain,
( ~ sP6
| spl58_19 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f720,plain,
( spl58_18
| spl58_20
| ~ spl58_54 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| spl58_18
| spl58_20
| ~ spl58_54 ),
inference(subsumption_resolution,[],[f718,f517]) ).
fof(f718,plain,
( sz00 = sK33
| spl58_20
| ~ spl58_54 ),
inference(resolution,[],[f716,f627]) ).
fof(f627,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0 )
| spl58_20 ),
inference(global_subsumption,[],[f249,f252,f251,f250,f253,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f257,f256,f270,f274,f273,f288,f287,f286,f308,f307,f306,f310,f309,f313,f312,f311,f315,f314,f325,f321,f320,f319,f318,f317,f316,f330,f334,f333,f336,f335,f338,f337,f340,f339,f342,f341,f345,f344,f343,f347,f346,f354,f353,f352,f351,f350,f349,f356,f362,f361,f360,f359,f358,f357,f366,f365,f364,f370,f369,f368,f367,f372,f371,f379,f378,f377,f376,f375,f374,f380,f388,f387,f386,f385,f384,f383,f382,f381,f391,f390,f389,f392,f393,f396,f395,f394,f398,f397,f402,f401,f400,f399,f403,f404,f405,f406,f407,f409,f408,f412,f411,f410,f414,f413,f420,f419,f418,f417,f416,f415,f421,f423,f422,f424,f425,f427,f426,f255,f258,f276,f277,f281,f282,f290,f291,f292,f295,f298,f301,f327,f328,f279,f280,f284,f285,f326,f305,f525,f329,f289,f294,f297,f300,f303,f322,f323,f355,f363,f278,f283,f293,f296,f299,f302,f324,f246,f271,f272,f275,f331,f332,f348,f617,f304,f247,f248,f373,f254]) ).
fof(f525,plain,
( ~ sP4(sK30)
| spl58_20 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f717,plain,
( spl58_54
| ~ spl58_46
| ~ spl58_53 ),
inference(avatar_split_clause,[],[f712,f708,f667,f714]) ).
fof(f667,plain,
( spl58_46
<=> xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_46])]) ).
fof(f708,plain,
( spl58_53
<=> aElementOf0(sK33,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_53])]) ).
fof(f712,plain,
( aElementOf0(sK33,xI)
| ~ spl58_46
| ~ spl58_53 ),
inference(forward_demodulation,[],[f710,f669]) ).
fof(f669,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
| ~ spl58_46 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f710,plain,
( aElementOf0(sK33,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ~ spl58_53 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f711,plain,
spl58_53,
inference(avatar_split_clause,[],[f325,f708]) ).
fof(f706,plain,
( spl58_52
| ~ spl58_28 ),
inference(avatar_split_clause,[],[f691,f564,f703]) ).
fof(f691,plain,
( aElement0(sK36(sK35))
| ~ spl58_28 ),
inference(resolution,[],[f319,f566]) ).
fof(f701,plain,
( spl58_51
| ~ spl58_26 ),
inference(avatar_split_clause,[],[f690,f554,f698]) ).
fof(f690,plain,
( aElement0(sK36(xb))
| ~ spl58_26 ),
inference(resolution,[],[f319,f556]) ).
fof(f696,plain,
( spl58_50
| ~ spl58_25 ),
inference(avatar_split_clause,[],[f689,f549,f693]) ).
fof(f689,plain,
( aElement0(sK36(sz00))
| ~ spl58_25 ),
inference(resolution,[],[f319,f551]) ).
fof(f688,plain,
( spl58_49
| ~ spl58_27 ),
inference(avatar_split_clause,[],[f673,f559,f685]) ).
fof(f673,plain,
( aElement0(sK37(sK34))
| ~ spl58_27 ),
inference(resolution,[],[f316,f561]) ).
fof(f683,plain,
( spl58_48
| ~ spl58_24 ),
inference(avatar_split_clause,[],[f672,f544,f680]) ).
fof(f672,plain,
( aElement0(sK37(xa))
| ~ spl58_24 ),
inference(resolution,[],[f316,f546]) ).
fof(f678,plain,
( spl58_47
| ~ spl58_23 ),
inference(avatar_split_clause,[],[f671,f539,f675]) ).
fof(f671,plain,
( aElement0(sK37(sz00))
| ~ spl58_23 ),
inference(resolution,[],[f316,f541]) ).
fof(f670,plain,
spl58_46,
inference(avatar_split_clause,[],[f269,f667]) ).
fof(f665,plain,
( spl58_45
| ~ spl58_28 ),
inference(avatar_split_clause,[],[f635,f564,f662]) ).
fof(f635,plain,
( aElement0(sK21(sK35))
| ~ spl58_28 ),
inference(resolution,[],[f262,f566]) ).
fof(f660,plain,
( spl58_44
| ~ spl58_26 ),
inference(avatar_split_clause,[],[f634,f554,f657]) ).
fof(f634,plain,
( aElement0(sK21(xb))
| ~ spl58_26 ),
inference(resolution,[],[f262,f556]) ).
fof(f655,plain,
( spl58_43
| ~ spl58_25 ),
inference(avatar_split_clause,[],[f633,f549,f652]) ).
fof(f633,plain,
( aElement0(sK21(sz00))
| ~ spl58_25 ),
inference(resolution,[],[f262,f551]) ).
fof(f650,plain,
( spl58_42
| ~ spl58_27 ),
inference(avatar_split_clause,[],[f632,f559,f647]) ).
fof(f632,plain,
( aElement0(sK22(sK34))
| ~ spl58_27 ),
inference(resolution,[],[f259,f561]) ).
fof(f645,plain,
( spl58_41
| ~ spl58_24 ),
inference(avatar_split_clause,[],[f631,f544,f642]) ).
fof(f631,plain,
( aElement0(sK22(xa))
| ~ spl58_24 ),
inference(resolution,[],[f259,f546]) ).
fof(f640,plain,
( spl58_40
| ~ spl58_23 ),
inference(avatar_split_clause,[],[f630,f539,f637]) ).
fof(f630,plain,
( aElement0(sK22(sz00))
| ~ spl58_23 ),
inference(resolution,[],[f259,f541]) ).
fof(f626,plain,
( ~ spl58_38
| ~ spl58_39 ),
inference(avatar_split_clause,[],[f304,f623,f619]) ).
fof(f619,plain,
( spl58_38
<=> sz00 = xa ),
introduced(avatar_definition,[new_symbols(naming,[spl58_38])]) ).
fof(f623,plain,
( spl58_39
<=> sz00 = xb ),
introduced(avatar_definition,[new_symbols(naming,[spl58_39])]) ).
fof(f616,plain,
( ~ spl58_37
| ~ spl58_15 ),
inference(avatar_split_clause,[],[f611,f500,f613]) ).
fof(f500,plain,
( spl58_15
<=> aDivisorOf0(xc,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_15])]) ).
fof(f611,plain,
( ~ sP2(xc)
| ~ spl58_15 ),
inference(resolution,[],[f275,f502]) ).
fof(f502,plain,
( aDivisorOf0(xc,xa)
| ~ spl58_15 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f609,plain,
( ~ spl58_36
| ~ spl58_16 ),
inference(avatar_split_clause,[],[f604,f505,f606]) ).
fof(f505,plain,
( spl58_16
<=> doDivides0(xc,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_16])]) ).
fof(f604,plain,
( ~ sP3(xc)
| ~ spl58_16 ),
inference(resolution,[],[f271,f507]) ).
fof(f507,plain,
( doDivides0(xc,xb)
| ~ spl58_16 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f603,plain,
spl58_35,
inference(avatar_split_clause,[],[f324,f600]) ).
fof(f600,plain,
( spl58_35
<=> sK33 = sdtpldt0(sK34,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_35])]) ).
fof(f598,plain,
spl58_34,
inference(avatar_split_clause,[],[f302,f595]) ).
fof(f593,plain,
spl58_33,
inference(avatar_split_clause,[],[f299,f590]) ).
fof(f588,plain,
spl58_32,
inference(avatar_split_clause,[],[f296,f585]) ).
fof(f583,plain,
spl58_31,
inference(avatar_split_clause,[],[f293,f580]) ).
fof(f578,plain,
spl58_30,
inference(avatar_split_clause,[],[f283,f575]) ).
fof(f573,plain,
spl58_29,
inference(avatar_split_clause,[],[f278,f570]) ).
fof(f567,plain,
spl58_28,
inference(avatar_split_clause,[],[f323,f564]) ).
fof(f562,plain,
spl58_27,
inference(avatar_split_clause,[],[f322,f559]) ).
fof(f557,plain,
spl58_26,
inference(avatar_split_clause,[],[f303,f554]) ).
fof(f552,plain,
spl58_25,
inference(avatar_split_clause,[],[f300,f549]) ).
fof(f547,plain,
spl58_24,
inference(avatar_split_clause,[],[f297,f544]) ).
fof(f542,plain,
spl58_23,
inference(avatar_split_clause,[],[f294,f539]) ).
fof(f537,plain,
spl58_22,
inference(avatar_split_clause,[],[f289,f534]) ).
fof(f534,plain,
( spl58_22
<=> aGcdOfAnd0(xc,xa,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_22])]) ).
fof(f532,plain,
~ spl58_21,
inference(avatar_split_clause,[],[f329,f529]) ).
fof(f529,plain,
( spl58_21
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl58_21])]) ).
fof(f527,plain,
( ~ spl58_19
| spl58_20 ),
inference(avatar_split_clause,[],[f305,f524,f520]) ).
fof(f518,plain,
~ spl58_18,
inference(avatar_split_clause,[],[f326,f515]) ).
fof(f513,plain,
spl58_17,
inference(avatar_split_clause,[],[f285,f510]) ).
fof(f510,plain,
( spl58_17
<=> aDivisorOf0(xc,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_17])]) ).
fof(f508,plain,
spl58_16,
inference(avatar_split_clause,[],[f284,f505]) ).
fof(f503,plain,
spl58_15,
inference(avatar_split_clause,[],[f280,f500]) ).
fof(f498,plain,
spl58_14,
inference(avatar_split_clause,[],[f279,f495]) ).
fof(f495,plain,
( spl58_14
<=> doDivides0(xc,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_14])]) ).
fof(f493,plain,
spl58_13,
inference(avatar_split_clause,[],[f328,f490]) ).
fof(f488,plain,
spl58_12,
inference(avatar_split_clause,[],[f327,f485]) ).
fof(f483,plain,
spl58_11,
inference(avatar_split_clause,[],[f301,f480]) ).
fof(f478,plain,
spl58_10,
inference(avatar_split_clause,[],[f298,f475]) ).
fof(f473,plain,
spl58_9,
inference(avatar_split_clause,[],[f295,f470]) ).
fof(f468,plain,
spl58_8,
inference(avatar_split_clause,[],[f292,f465]) ).
fof(f463,plain,
spl58_7,
inference(avatar_split_clause,[],[f291,f460]) ).
fof(f458,plain,
spl58_6,
inference(avatar_split_clause,[],[f290,f455]) ).
fof(f453,plain,
spl58_5,
inference(avatar_split_clause,[],[f282,f450]) ).
fof(f448,plain,
spl58_3,
inference(avatar_split_clause,[],[f281,f439]) ).
fof(f447,plain,
spl58_4,
inference(avatar_split_clause,[],[f277,f444]) ).
fof(f442,plain,
spl58_3,
inference(avatar_split_clause,[],[f276,f439]) ).
fof(f437,plain,
spl58_2,
inference(avatar_split_clause,[],[f258,f434]) ).
fof(f434,plain,
( spl58_2
<=> aIdeal0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_2])]) ).
fof(f432,plain,
spl58_1,
inference(avatar_split_clause,[],[f255,f429]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 16:00:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.42 % (1336)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (1351)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.43 % (1352)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.43 % (1354)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43 % (1353)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.43 % (1355)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.43 % (1356)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.43 % (1357)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 Vampire---4 for (497ds/0Mi)
% 0.21/0.44 TRYING [1]
% 0.21/0.44 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.44 TRYING [2]
% 0.21/0.45 TRYING [3]
% 0.21/0.46 TRYING [3]
% 0.21/0.52 TRYING [4]
% 0.21/0.54 TRYING [4]
% 1.91/0.67 TRYING [5]
% 1.91/0.73 TRYING [5]
% 4.02/0.99 % (1353)First to succeed.
% 4.02/1.00 % (1353)Refutation found. Thanks to Tanya!
% 4.02/1.00 % SZS status Theorem for Vampire---4
% 4.02/1.00 % SZS output start Proof for Vampire---4
% See solution above
% 4.02/1.01 % (1353)------------------------------
% 4.02/1.01 % (1353)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.02/1.01 % (1353)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.02/1.01 % (1353)Termination reason: Refutation
% 4.02/1.01
% 4.02/1.01 % (1353)Memory used [KB]: 9083
% 4.02/1.01 % (1353)Time elapsed: 0.573 s
% 4.02/1.01 % (1353)------------------------------
% 4.02/1.01 % (1353)------------------------------
% 4.02/1.01 % (1336)Success in time 0.642 s
% 4.02/1.01 % Vampire---4.8 exiting
%------------------------------------------------------------------------------