TSTP Solution File: SWV178+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV178+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n022.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 : Sat Sep 2 12:55:49 EDT 2023
% Result : Theorem 0.86s 0.55s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 393
% Syntax : Number of formulae : 1210 ( 315 unt; 0 def)
% Number of atoms : 4279 ( 802 equ)
% Maximal formula atoms : 35 ( 3 avg)
% Number of connectives : 4847 (1778 ~;1935 |; 710 &)
% ( 278 <=>; 146 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 293 ( 291 usr; 275 prp; 0-4 aty)
% Number of functors : 68 ( 68 usr; 23 con; 0-4 aty)
% Number of variables : 2100 (;1943 !; 157 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3473,plain,
$false,
inference(avatar_sat_refutation,[],[f457,f462,f467,f472,f477,f482,f487,f491,f497,f501,f505,f512,f517,f522,f527,f532,f537,f542,f547,f552,f557,f562,f567,f572,f577,f582,f587,f592,f597,f602,f607,f612,f617,f622,f627,f632,f637,f642,f647,f652,f657,f662,f666,f670,f675,f680,f688,f695,f702,f710,f715,f719,f724,f729,f734,f739,f753,f758,f765,f769,f780,f786,f809,f813,f817,f821,f826,f830,f834,f838,f842,f847,f851,f936,f941,f945,f949,f953,f957,f961,f965,f969,f1101,f1107,f1112,f1117,f1122,f1127,f1131,f1136,f1140,f1145,f1149,f1154,f1158,f1163,f1167,f1172,f1177,f1181,f1185,f1189,f1193,f1198,f1202,f1207,f1211,f1216,f1220,f1226,f1230,f1234,f1239,f1243,f1248,f1252,f1257,f1261,f1266,f1270,f1276,f1280,f1284,f1289,f1293,f1298,f1302,f1307,f1311,f1316,f1320,f1326,f1330,f1334,f1339,f1343,f1348,f1352,f1357,f1361,f1366,f1370,f1375,f1379,f1383,f1387,f1391,f1395,f1405,f1415,f1426,f1436,f1446,f1505,f1516,f1526,f1536,f1546,f1556,f1567,f1577,f1587,f1597,f1607,f1618,f1628,f1638,f1648,f1658,f1669,f1679,f1756,f1764,f1771,f1775,f1779,f1783,f1787,f1793,f1797,f1825,f1830,f1860,f2071,f2075,f2081,f2109,f2115,f2139,f2146,f2151,f2156,f2160,f2164,f2168,f2172,f2233,f2239,f2243,f2346,f2354,f2361,f2365,f2401,f2405,f2409,f2413,f2417,f2421,f2425,f2429,f2433,f2437,f2443,f2448,f2452,f2456,f2460,f2469,f2473,f2477,f2548,f2554,f2590,f2595,f2599,f2611,f2617,f2653,f2724,f2730,f2736,f2741,f2746,f2814,f2820,f2856,f2862,f2868,f2872,f2958,f2964,f2970,f2974,f3042,f3049,f3086,f3092,f3133,f3140,f3171,f3176,f3181,f3186,f3192,f3197,f3234,f3240,f3254,f3264,f3284,f3355,f3370,f3423,f3442,f3448,f3457,f3463,f3469,f3472]) ).
fof(f3472,plain,
( ~ spl41_5
| spl41_7
| ~ spl41_4
| ~ spl41_49 ),
inference(avatar_split_clause,[],[f704,f700,f469,f484,f474]) ).
fof(f474,plain,
( spl41_5
<=> leq(sK13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f484,plain,
( spl41_7
<=> init = a_select2(sigmaold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f469,plain,
( spl41_4
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f700,plain,
( spl41_49
<=> ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_49])]) ).
fof(f704,plain,
( init = a_select2(sigmaold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_4
| ~ spl41_49 ),
inference(resolution,[],[f701,f471]) ).
fof(f471,plain,
( leq(n0,sK13)
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f701,plain,
( ! [X1] :
( ~ leq(n0,X1)
| init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4) )
| ~ spl41_49 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f3469,plain,
( spl41_273
| ~ spl41_70
| ~ spl41_253 ),
inference(avatar_split_clause,[],[f3248,f3137,f832,f3466]) ).
fof(f3466,plain,
( spl41_273
<=> lt(sK13,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_273])]) ).
fof(f832,plain,
( spl41_70
<=> ! [X0,X1] :
( lt(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_70])]) ).
fof(f3137,plain,
( spl41_253
<=> gt(pv40,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_253])]) ).
fof(f3248,plain,
( lt(sK13,pv40)
| ~ spl41_70
| ~ spl41_253 ),
inference(resolution,[],[f3139,f833]) ).
fof(f833,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| lt(X0,X1) )
| ~ spl41_70 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f3139,plain,
( gt(pv40,sK13)
| ~ spl41_253 ),
inference(avatar_component_clause,[],[f3137]) ).
fof(f3463,plain,
( ~ spl41_2
| spl41_272
| ~ spl41_1
| ~ spl41_49 ),
inference(avatar_split_clause,[],[f703,f700,f454,f3460,f459]) ).
fof(f459,plain,
( spl41_2
<=> leq(pv40,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f3460,plain,
( spl41_272
<=> init = a_select2(sigmaold_init,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_272])]) ).
fof(f454,plain,
( spl41_1
<=> leq(n0,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f703,plain,
( init = a_select2(sigmaold_init,pv40)
| ~ leq(pv40,n4)
| ~ spl41_1
| ~ spl41_49 ),
inference(resolution,[],[f701,f456]) ).
fof(f456,plain,
( leq(n0,pv40)
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f3457,plain,
( ~ spl41_5
| spl41_271
| ~ spl41_4
| ~ spl41_48 ),
inference(avatar_split_clause,[],[f697,f693,f469,f3454,f474]) ).
fof(f3454,plain,
( spl41_271
<=> init = a_select2(rhoold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_271])]) ).
fof(f693,plain,
( spl41_48
<=> ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_48])]) ).
fof(f697,plain,
( init = a_select2(rhoold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_4
| ~ spl41_48 ),
inference(resolution,[],[f694,f471]) ).
fof(f694,plain,
( ! [X2] :
( ~ leq(n0,X2)
| init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4) )
| ~ spl41_48 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f3448,plain,
( spl41_270
| ~ spl41_267
| ~ spl41_269 ),
inference(avatar_split_clause,[],[f3443,f3439,f3363,f3445]) ).
fof(f3445,plain,
( spl41_270
<=> init = a_select2(rhoold_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_270])]) ).
fof(f3363,plain,
( spl41_267
<=> tptp_float_0_0 = pv40 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_267])]) ).
fof(f3439,plain,
( spl41_269
<=> init = a_select2(rhoold_init,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_269])]) ).
fof(f3443,plain,
( init = a_select2(rhoold_init,tptp_float_0_0)
| ~ spl41_267
| ~ spl41_269 ),
inference(forward_demodulation,[],[f3441,f3365]) ).
fof(f3365,plain,
( tptp_float_0_0 = pv40
| ~ spl41_267 ),
inference(avatar_component_clause,[],[f3363]) ).
fof(f3441,plain,
( init = a_select2(rhoold_init,pv40)
| ~ spl41_269 ),
inference(avatar_component_clause,[],[f3439]) ).
fof(f3442,plain,
( ~ spl41_2
| spl41_269
| ~ spl41_1
| ~ spl41_48 ),
inference(avatar_split_clause,[],[f696,f693,f454,f3439,f459]) ).
fof(f696,plain,
( init = a_select2(rhoold_init,pv40)
| ~ leq(pv40,n4)
| ~ spl41_1
| ~ spl41_48 ),
inference(resolution,[],[f694,f456]) ).
fof(f3423,plain,
( ~ spl41_5
| spl41_261
| ~ spl41_4
| ~ spl41_47 ),
inference(avatar_split_clause,[],[f690,f686,f469,f3237,f474]) ).
fof(f3237,plain,
( spl41_261
<=> init = a_select2(muold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_261])]) ).
fof(f686,plain,
( spl41_47
<=> ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_47])]) ).
fof(f690,plain,
( init = a_select2(muold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_4
| ~ spl41_47 ),
inference(resolution,[],[f687,f471]) ).
fof(f687,plain,
( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(muold_init,X3)
| ~ leq(X3,n4) )
| ~ spl41_47 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f3370,plain,
( spl41_267
| spl41_268
| ~ spl41_1
| ~ spl41_63
| ~ spl41_176 ),
inference(avatar_split_clause,[],[f1932,f1773,f783,f454,f3367,f3363]) ).
fof(f3367,plain,
( spl41_268
<=> gt(pv40,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_268])]) ).
fof(f783,plain,
( spl41_63
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_63])]) ).
fof(f1773,plain,
( spl41_176
<=> ! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_176])]) ).
fof(f1932,plain,
( gt(pv40,tptp_float_0_0)
| tptp_float_0_0 = pv40
| ~ spl41_1
| ~ spl41_63
| ~ spl41_176 ),
inference(forward_demodulation,[],[f1931,f785]) ).
fof(f785,plain,
( n0 = tptp_float_0_0
| ~ spl41_63 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f1931,plain,
( tptp_float_0_0 = pv40
| gt(pv40,n0)
| ~ spl41_1
| ~ spl41_63
| ~ spl41_176 ),
inference(forward_demodulation,[],[f1874,f785]) ).
fof(f1874,plain,
( n0 = pv40
| gt(pv40,n0)
| ~ spl41_1
| ~ spl41_176 ),
inference(resolution,[],[f1774,f456]) ).
fof(f1774,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) )
| ~ spl41_176 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f3355,plain,
( spl41_266
| ~ spl41_257
| ~ spl41_263 ),
inference(avatar_split_clause,[],[f3288,f3257,f3184,f3353]) ).
fof(f3353,plain,
( spl41_266
<=> ! [X95] :
( ~ leq(X95,tptp_float_0_0)
| leq(X95,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_266])]) ).
fof(f3184,plain,
( spl41_257
<=> ! [X95] :
( leq(X95,n4)
| ~ leq(X95,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_257])]) ).
fof(f3257,plain,
( spl41_263
<=> tptp_float_0_0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_263])]) ).
fof(f3288,plain,
( ! [X95] :
( ~ leq(X95,tptp_float_0_0)
| leq(X95,n4) )
| ~ spl41_257
| ~ spl41_263 ),
inference(forward_demodulation,[],[f3185,f3259]) ).
fof(f3259,plain,
( tptp_float_0_0 = sK13
| ~ spl41_263 ),
inference(avatar_component_clause,[],[f3257]) ).
fof(f3185,plain,
( ! [X95] :
( ~ leq(X95,sK13)
| leq(X95,n4) )
| ~ spl41_257 ),
inference(avatar_component_clause,[],[f3184]) ).
fof(f3284,plain,
( spl41_265
| ~ spl41_221
| ~ spl41_257 ),
inference(avatar_split_clause,[],[f3187,f3184,f2466,f3282]) ).
fof(f3282,plain,
( spl41_265
<=> ! [X95] :
( leq(X95,pv40)
| ~ leq(X95,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_265])]) ).
fof(f2466,plain,
( spl41_221
<=> n4 = pv40 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_221])]) ).
fof(f3187,plain,
( ! [X95] :
( leq(X95,pv40)
| ~ leq(X95,sK13) )
| ~ spl41_221
| ~ spl41_257 ),
inference(forward_demodulation,[],[f3185,f2468]) ).
fof(f2468,plain,
( n4 = pv40
| ~ spl41_221 ),
inference(avatar_component_clause,[],[f2466]) ).
fof(f3264,plain,
( spl41_263
| spl41_264
| ~ spl41_4
| ~ spl41_63
| ~ spl41_176 ),
inference(avatar_split_clause,[],[f1934,f1773,f783,f469,f3261,f3257]) ).
fof(f3261,plain,
( spl41_264
<=> gt(sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_264])]) ).
fof(f1934,plain,
( gt(sK13,tptp_float_0_0)
| tptp_float_0_0 = sK13
| ~ spl41_4
| ~ spl41_63
| ~ spl41_176 ),
inference(forward_demodulation,[],[f1933,f785]) ).
fof(f1933,plain,
( tptp_float_0_0 = sK13
| gt(sK13,n0)
| ~ spl41_4
| ~ spl41_63
| ~ spl41_176 ),
inference(forward_demodulation,[],[f1875,f785]) ).
fof(f1875,plain,
( n0 = sK13
| gt(sK13,n0)
| ~ spl41_4
| ~ spl41_176 ),
inference(resolution,[],[f1774,f471]) ).
fof(f3254,plain,
( spl41_262
| ~ spl41_19
| ~ spl41_221 ),
inference(avatar_split_clause,[],[f2875,f2466,f544,f3251]) ).
fof(f3251,plain,
( spl41_262
<=> gt(n135299,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_262])]) ).
fof(f544,plain,
( spl41_19
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_19])]) ).
fof(f2875,plain,
( gt(n135299,pv40)
| ~ spl41_19
| ~ spl41_221 ),
inference(superposition,[],[f546,f2468]) ).
fof(f546,plain,
( gt(n135299,n4)
| ~ spl41_19 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f3240,plain,
( spl41_261
| ~ spl41_221
| ~ spl41_252
| ~ spl41_260 ),
inference(avatar_split_clause,[],[f3235,f3231,f3130,f2466,f3237]) ).
fof(f3130,plain,
( spl41_252
<=> n4 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_252])]) ).
fof(f3231,plain,
( spl41_260
<=> init = a_select2(muold_init,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_260])]) ).
fof(f3235,plain,
( init = a_select2(muold_init,sK13)
| ~ spl41_221
| ~ spl41_252
| ~ spl41_260 ),
inference(forward_demodulation,[],[f3233,f3142]) ).
fof(f3142,plain,
( pv40 = sK13
| ~ spl41_221
| ~ spl41_252 ),
inference(superposition,[],[f3132,f2468]) ).
fof(f3132,plain,
( n4 = sK13
| ~ spl41_252 ),
inference(avatar_component_clause,[],[f3130]) ).
fof(f3233,plain,
( init = a_select2(muold_init,pv40)
| ~ spl41_260 ),
inference(avatar_component_clause,[],[f3231]) ).
fof(f3234,plain,
( ~ spl41_2
| spl41_260
| ~ spl41_1
| ~ spl41_47 ),
inference(avatar_split_clause,[],[f689,f686,f454,f3231,f459]) ).
fof(f689,plain,
( init = a_select2(muold_init,pv40)
| ~ leq(pv40,n4)
| ~ spl41_1
| ~ spl41_47 ),
inference(resolution,[],[f687,f456]) ).
fof(f3197,plain,
( spl41_259
| ~ spl41_4
| ~ spl41_63
| ~ spl41_178 ),
inference(avatar_split_clause,[],[f2037,f1781,f783,f469,f3195]) ).
fof(f3195,plain,
( spl41_259
<=> ! [X12] :
( ~ leq(X12,tptp_float_0_0)
| leq(X12,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_259])]) ).
fof(f1781,plain,
( spl41_178
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_178])]) ).
fof(f2037,plain,
( ! [X12] :
( ~ leq(X12,tptp_float_0_0)
| leq(X12,sK13) )
| ~ spl41_4
| ~ spl41_63
| ~ spl41_178 ),
inference(forward_demodulation,[],[f1980,f785]) ).
fof(f1980,plain,
( ! [X12] :
( leq(X12,sK13)
| ~ leq(X12,n0) )
| ~ spl41_4
| ~ spl41_178 ),
inference(resolution,[],[f1782,f471]) ).
fof(f1782,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl41_178 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f3192,plain,
( spl41_258
| ~ spl41_1
| ~ spl41_63
| ~ spl41_178 ),
inference(avatar_split_clause,[],[f2036,f1781,f783,f454,f3190]) ).
fof(f3190,plain,
( spl41_258
<=> ! [X11] :
( ~ leq(X11,tptp_float_0_0)
| leq(X11,pv40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_258])]) ).
fof(f2036,plain,
( ! [X11] :
( ~ leq(X11,tptp_float_0_0)
| leq(X11,pv40) )
| ~ spl41_1
| ~ spl41_63
| ~ spl41_178 ),
inference(forward_demodulation,[],[f1979,f785]) ).
fof(f1979,plain,
( ! [X11] :
( leq(X11,pv40)
| ~ leq(X11,n0) )
| ~ spl41_1
| ~ spl41_178 ),
inference(resolution,[],[f1782,f456]) ).
fof(f3186,plain,
( spl41_257
| ~ spl41_5
| ~ spl41_178 ),
inference(avatar_split_clause,[],[f2011,f1781,f474,f3184]) ).
fof(f2011,plain,
( ! [X95] :
( leq(X95,n4)
| ~ leq(X95,sK13) )
| ~ spl41_5
| ~ spl41_178 ),
inference(resolution,[],[f1782,f476]) ).
fof(f476,plain,
( leq(sK13,n4)
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f3181,plain,
( spl41_256
| ~ spl41_2
| ~ spl41_178 ),
inference(avatar_split_clause,[],[f2010,f1781,f459,f3179]) ).
fof(f3179,plain,
( spl41_256
<=> ! [X94] :
( leq(X94,n4)
| ~ leq(X94,pv40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_256])]) ).
fof(f2010,plain,
( ! [X94] :
( leq(X94,n4)
| ~ leq(X94,pv40) )
| ~ spl41_2
| ~ spl41_178 ),
inference(resolution,[],[f1782,f461]) ).
fof(f461,plain,
( leq(pv40,n4)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f3176,plain,
( spl41_255
| ~ spl41_5
| ~ spl41_221 ),
inference(avatar_split_clause,[],[f2874,f2466,f474,f3173]) ).
fof(f3173,plain,
( spl41_255
<=> leq(sK13,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_255])]) ).
fof(f2874,plain,
( leq(sK13,pv40)
| ~ spl41_5
| ~ spl41_221 ),
inference(superposition,[],[f476,f2468]) ).
fof(f3171,plain,
( spl41_254
| ~ spl41_3
| ~ spl41_177 ),
inference(avatar_split_clause,[],[f1960,f1777,f464,f3169]) ).
fof(f3169,plain,
( spl41_254
<=> ! [X32] :
( gt(X32,n1)
| ~ gt(X32,loopcounter) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_254])]) ).
fof(f464,plain,
( spl41_3
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f1777,plain,
( spl41_177
<=> ! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_177])]) ).
fof(f1960,plain,
( ! [X32] :
( gt(X32,n1)
| ~ gt(X32,loopcounter) )
| ~ spl41_3
| ~ spl41_177 ),
inference(resolution,[],[f1778,f466]) ).
fof(f466,plain,
( gt(loopcounter,n1)
| ~ spl41_3 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f1778,plain,
( ! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) )
| ~ spl41_177 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f3140,plain,
( spl41_253
| ~ spl41_221
| ~ spl41_251 ),
inference(avatar_split_clause,[],[f3134,f3126,f2466,f3137]) ).
fof(f3126,plain,
( spl41_251
<=> gt(n4,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_251])]) ).
fof(f3134,plain,
( gt(pv40,sK13)
| ~ spl41_221
| ~ spl41_251 ),
inference(forward_demodulation,[],[f3128,f2468]) ).
fof(f3128,plain,
( gt(n4,sK13)
| ~ spl41_251 ),
inference(avatar_component_clause,[],[f3126]) ).
fof(f3133,plain,
( spl41_251
| spl41_252
| ~ spl41_5
| ~ spl41_176 ),
inference(avatar_split_clause,[],[f1906,f1773,f474,f3130,f3126]) ).
fof(f1906,plain,
( n4 = sK13
| gt(n4,sK13)
| ~ spl41_5
| ~ spl41_176 ),
inference(resolution,[],[f1774,f476]) ).
fof(f3092,plain,
( spl41_250
| ~ spl41_63
| ~ spl41_249 ),
inference(avatar_split_clause,[],[f3088,f3084,f783,f3090]) ).
fof(f3090,plain,
( spl41_250
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X8)
| ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_250])]) ).
fof(f3084,plain,
( spl41_249
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_249])]) ).
fof(f3088,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X8)
| ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl41_63
| ~ spl41_249 ),
inference(forward_demodulation,[],[f3087,f785]) ).
fof(f3087,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl41_63
| ~ spl41_249 ),
inference(forward_demodulation,[],[f3085,f785]) ).
fof(f3085,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl41_249 ),
inference(avatar_component_clause,[],[f3084]) ).
fof(f3086,plain,
spl41_249,
inference(avatar_split_clause,[],[f434,f3084]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X8,X9] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8) )
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(rectify,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(definition_folding,[],[f168,f189,f188,f187]) ).
fof(f187,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f188,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f189,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ! [X8,X9] :
( ( leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
=> a_select3(X5,X8,X9) = a_select3(X5,X9,X8) )
& ! [X10,X11] :
( ( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
=> a_select3(X0,X10,X11) = a_select3(X0,X11,X10) )
& ! [X12,X13] :
( ( leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
=> a_select3(X3,X12,X13) = a_select3(X3,X13,X12) ) )
=> ! [X14,X15] :
( ( leq(X15,X6)
& leq(n0,X15)
& leq(X14,X6)
& leq(n0,X14) )
=> a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X13,X17,X3,X19,X20,X21,X14,X18] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X21,X4,X10) = a_select3(X21,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X19,X4,X10) = a_select3(X19,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X4,X10) = a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',matrix_symm_joseph_update) ).
fof(f3049,plain,
( spl41_248
| ~ spl41_63
| ~ spl41_247 ),
inference(avatar_split_clause,[],[f3045,f3040,f783,f3047]) ).
fof(f3047,plain,
( spl41_248
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_248])]) ).
fof(f3040,plain,
( spl41_247
<=> ! [X3,X4,X0,X5,X2,X1] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_247])]) ).
fof(f3045,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP2(X0,X1) )
| ~ spl41_63
| ~ spl41_247 ),
inference(forward_demodulation,[],[f3044,f785]) ).
fof(f3044,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl41_63
| ~ spl41_247 ),
inference(forward_demodulation,[],[f3043,f785]) ).
fof(f3043,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl41_63
| ~ spl41_247 ),
inference(forward_demodulation,[],[f3041,f785]) ).
fof(f3041,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl41_247 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f3042,plain,
spl41_247,
inference(avatar_split_clause,[],[f357,f3040]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( ! [X2,X3,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP2(X0,X1) ),
inference(rectify,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP2(X0,X1) ),
inference(definition_folding,[],[f142,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5,X6,X7] :
( ( leq(X6,X1)
& leq(n0,X6)
& leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10,X15,X16] :
( ( leq(X15,X14)
& leq(n0,X15)
& leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_update3(X13,X15,X15,X16),X4,X10) = a_select3(tptp_update3(X13,X15,X15,X16),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',matrix_symm_update_diagonal) ).
fof(f2974,plain,
( spl41_246
| ~ spl41_63
| ~ spl41_244 ),
inference(avatar_split_clause,[],[f2966,f2962,f783,f2972]) ).
fof(f2972,plain,
( spl41_246
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ leq(tptp_float_0_0,X4)
| ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| sP8(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_246])]) ).
fof(f2962,plain,
( spl41_244
<=> ! [X2,X3,X4,X0,X5,X1] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_244])]) ).
fof(f2966,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X4)
| ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| sP8(X1,X3) )
| ~ spl41_63
| ~ spl41_244 ),
inference(forward_demodulation,[],[f2965,f785]) ).
fof(f2965,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) )
| ~ spl41_63
| ~ spl41_244 ),
inference(forward_demodulation,[],[f2963,f785]) ).
fof(f2963,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) )
| ~ spl41_244 ),
inference(avatar_component_clause,[],[f2962]) ).
fof(f2970,plain,
( spl41_245
| ~ spl41_63
| ~ spl41_243 ),
inference(avatar_split_clause,[],[f2960,f2956,f783,f2968]) ).
fof(f2968,plain,
( spl41_245
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_245])]) ).
fof(f2956,plain,
( spl41_243
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_243])]) ).
fof(f2960,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP7(X1,X2) )
| ~ spl41_63
| ~ spl41_243 ),
inference(forward_demodulation,[],[f2959,f785]) ).
fof(f2959,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) )
| ~ spl41_63
| ~ spl41_243 ),
inference(forward_demodulation,[],[f2957,f785]) ).
fof(f2957,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) )
| ~ spl41_243 ),
inference(avatar_component_clause,[],[f2956]) ).
fof(f2964,plain,
spl41_244,
inference(avatar_split_clause,[],[f409,f2962]) ).
fof(f409,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4) )
| sP8(X1,X3) ),
inference(rectify,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| sP8(X1,X3) ),
inference(definition_folding,[],[f158,f183]) ).
fof(f183,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( ( leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
=> a_select3(X1,X4,X5) = a_select3(X1,X5,X4) )
=> ! [X6,X7] :
( ( leq(X7,X2)
& leq(n0,X7)
& leq(X6,X2)
& leq(n0,X6) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X13,X17,X14,X18] :
( ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',matrix_symm_aba2) ).
fof(f2958,plain,
spl41_243,
inference(avatar_split_clause,[],[f398,f2956]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP7(X1,X2) ),
inference(rectify,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| sP7(X1,X2) ),
inference(definition_folding,[],[f152,f181]) ).
fof(f181,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
=> ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X13,X17,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',matrix_symm_aba1) ).
fof(f2872,plain,
( spl41_242
| ~ spl41_63
| ~ spl41_240 ),
inference(avatar_split_clause,[],[f2864,f2860,f783,f2870]) ).
fof(f2870,plain,
( spl41_242
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP6(X1,X2)
| sP5(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_242])]) ).
fof(f2860,plain,
( spl41_240
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_240])]) ).
fof(f2864,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl41_63
| ~ spl41_240 ),
inference(forward_demodulation,[],[f2863,f785]) ).
fof(f2863,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl41_63
| ~ spl41_240 ),
inference(forward_demodulation,[],[f2861,f785]) ).
fof(f2861,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl41_240 ),
inference(avatar_component_clause,[],[f2860]) ).
fof(f2868,plain,
( spl41_241
| ~ spl41_63
| ~ spl41_239 ),
inference(avatar_split_clause,[],[f2858,f2854,f783,f2866]) ).
fof(f2866,plain,
( spl41_241
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP4(X1,X2)
| sP3(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_241])]) ).
fof(f2854,plain,
( spl41_239
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_239])]) ).
fof(f2858,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl41_63
| ~ spl41_239 ),
inference(forward_demodulation,[],[f2857,f785]) ).
fof(f2857,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl41_63
| ~ spl41_239 ),
inference(forward_demodulation,[],[f2855,f785]) ).
fof(f2855,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl41_239 ),
inference(avatar_component_clause,[],[f2854]) ).
fof(f2862,plain,
spl41_240,
inference(avatar_split_clause,[],[f392,f2860]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(definition_folding,[],[f150,f179,f178]) ).
fof(f178,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f179,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,X17),X4,X10) = a_select3(tptp_madd(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',matrix_symm_add) ).
fof(f2856,plain,
spl41_239,
inference(avatar_split_clause,[],[f381,f2854]) ).
fof(f381,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(definition_folding,[],[f148,f176,f175]) ).
fof(f175,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f176,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_msub(X13,X17),X4,X10) = a_select3(tptp_msub(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',matrix_symm_sub) ).
fof(f2820,plain,
( spl41_238
| ~ spl41_63
| ~ spl41_237 ),
inference(avatar_split_clause,[],[f2816,f2812,f783,f2818]) ).
fof(f2818,plain,
( spl41_238
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| sP9(X5,X4,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_238])]) ).
fof(f2812,plain,
( spl41_237
<=> ! [X2,X3,X4,X0,X5,X1] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_237])]) ).
fof(f2816,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| sP9(X5,X4,X3,X2) )
| ~ spl41_63
| ~ spl41_237 ),
inference(forward_demodulation,[],[f2815,f785]) ).
fof(f2815,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) )
| ~ spl41_63
| ~ spl41_237 ),
inference(forward_demodulation,[],[f2813,f785]) ).
fof(f2813,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) )
| ~ spl41_237 ),
inference(avatar_component_clause,[],[f2812]) ).
fof(f2814,plain,
spl41_237,
inference(avatar_split_clause,[],[f416,f2812]) ).
fof(f416,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ),
inference(definition_folding,[],[f162,f185]) ).
fof(f185,plain,
! [X5,X4,X3,X2] :
( ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP9(X5,X4,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( leq(X1,X3)
& leq(n0,X1)
& leq(X0,X2)
& leq(n0,X0)
& ! [X6,X7] :
( ( leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(X4,X6,X7) = X5 ) )
=> a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5 ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X10,X6,X23,X0,X16] :
( ( leq(X10,X23)
& leq(n0,X10)
& leq(X4,X6)
& leq(n0,X4)
& ! [X25,X26] :
( ( leq(X26,X23)
& leq(X25,X6)
& leq(n0,X26)
& leq(n0,X25) )
=> a_select3(X0,X25,X26) = X16 ) )
=> a_select3(tptp_update3(X0,X6,X23,X16),X4,X10) = X16 ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',sel3_update_3) ).
fof(f2746,plain,
( spl41_236
| ~ spl41_63
| ~ spl41_233 ),
inference(avatar_split_clause,[],[f2732,f2728,f783,f2744]) ).
fof(f2744,plain,
( spl41_236
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_236])]) ).
fof(f2728,plain,
( spl41_233
<=> ! [X0,X3,X2,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_233])]) ).
fof(f2732,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP1(X0,X1) )
| ~ spl41_63
| ~ spl41_233 ),
inference(forward_demodulation,[],[f2731,f785]) ).
fof(f2731,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) )
| ~ spl41_63
| ~ spl41_233 ),
inference(forward_demodulation,[],[f2729,f785]) ).
fof(f2729,plain,
( ! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) )
| ~ spl41_233 ),
inference(avatar_component_clause,[],[f2728]) ).
fof(f2741,plain,
( spl41_235
| ~ spl41_70
| ~ spl41_220 ),
inference(avatar_split_clause,[],[f2479,f2462,f832,f2738]) ).
fof(f2738,plain,
( spl41_235
<=> lt(pv40,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_235])]) ).
fof(f2462,plain,
( spl41_220
<=> gt(n4,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_220])]) ).
fof(f2479,plain,
( lt(pv40,n4)
| ~ spl41_70
| ~ spl41_220 ),
inference(resolution,[],[f2464,f833]) ).
fof(f2464,plain,
( gt(n4,pv40)
| ~ spl41_220 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2736,plain,
( spl41_234
| ~ spl41_63
| ~ spl41_232 ),
inference(avatar_split_clause,[],[f2726,f2722,f783,f2734]) ).
fof(f2734,plain,
( spl41_234
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_234])]) ).
fof(f2722,plain,
( spl41_232
<=> ! [X0,X3,X2,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_232])]) ).
fof(f2726,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP0(X0,X1) )
| ~ spl41_63
| ~ spl41_232 ),
inference(forward_demodulation,[],[f2725,f785]) ).
fof(f2725,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) )
| ~ spl41_63
| ~ spl41_232 ),
inference(forward_demodulation,[],[f2723,f785]) ).
fof(f2723,plain,
( ! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) )
| ~ spl41_232 ),
inference(avatar_component_clause,[],[f2722]) ).
fof(f2730,plain,
spl41_233,
inference(avatar_split_clause,[],[f351,f2728]) ).
fof(f351,plain,
! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP1(X0,X1) ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP1(X0,X1) ),
inference(definition_folding,[],[f140,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f140,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(trans(X13),X4,X10) = a_select3(trans(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',matrix_symm_trans) ).
fof(f2724,plain,
spl41_232,
inference(avatar_split_clause,[],[f345,f2722]) ).
fof(f345,plain,
! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP0(X0,X1) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP0(X0,X1) ),
inference(definition_folding,[],[f138,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f138,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(inv(X13),X4,X10) = a_select3(inv(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',matrix_symm_inv) ).
fof(f2653,plain,
spl41_231,
inference(avatar_split_clause,[],[f418,f2651]) ).
fof(f2651,plain,
( spl41_231
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_231])]) ).
fof(f418,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( leq(X3,X5)
& leq(X4,X3)
& leq(X0,X2)
& leq(X1,X0) )
=> a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X8,X9,X10,X11,X12,X7] :
( ( leq(X10,X12)
& leq(X11,X10)
& leq(X4,X9)
& leq(X8,X4) )
=> a_select3(tptp_const_array2(dim(X8,X9),dim(X11,X12),X7),X4,X10) = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',const_array2_select) ).
fof(f2617,plain,
( spl41_230
| ~ spl41_63
| ~ spl41_229 ),
inference(avatar_split_clause,[],[f2613,f2609,f783,f2615]) ).
fof(f2615,plain,
( spl41_230
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_230])]) ).
fof(f2609,plain,
( spl41_229
<=> ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_229])]) ).
fof(f2613,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5) )
| ~ spl41_63
| ~ spl41_229 ),
inference(forward_demodulation,[],[f2612,f785]) ).
fof(f2612,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_229 ),
inference(forward_demodulation,[],[f2610,f785]) ).
fof(f2610,plain,
( ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl41_229 ),
inference(avatar_component_clause,[],[f2609]) ).
fof(f2611,plain,
spl41_229,
inference(avatar_split_clause,[],[f326,f2609]) ).
fof(f326,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ( leq(X0,n5)
& leq(n0,X0) )
=> ( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',finite_domain_5) ).
fof(f2599,plain,
( spl41_228
| ~ spl41_63
| ~ spl41_226 ),
inference(avatar_split_clause,[],[f2591,f2588,f783,f2597]) ).
fof(f2597,plain,
( spl41_228
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| a_select2(X2,sK30(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_228])]) ).
fof(f2588,plain,
( spl41_226
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK30(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_226])]) ).
fof(f2591,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| a_select2(X2,sK30(X1,X2,X3)) != X3 )
| ~ spl41_63
| ~ spl41_226 ),
inference(forward_demodulation,[],[f2589,f785]) ).
fof(f2589,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK30(X1,X2,X3)) != X3 )
| ~ spl41_226 ),
inference(avatar_component_clause,[],[f2588]) ).
fof(f2595,plain,
spl41_227,
inference(avatar_split_clause,[],[f417,f2593]) ).
fof(f2593,plain,
( spl41_227
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_227])]) ).
fof(f417,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( a_select3(X4,X2,X3) = X5
& X1 = X3
& X0 != X2 )
=> a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5 ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4,X10,X6,X23,X0,X16,X24] :
( ( a_select3(X0,X6,X23) = X16
& X10 = X23
& X4 != X6 )
=> a_select3(tptp_update3(X0,X4,X10,X24),X6,X23) = X16 ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',sel3_update_2) ).
fof(f2590,plain,
spl41_226,
inference(avatar_split_clause,[],[f403,f2588]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK30(X1,X2,X3)) != X3 ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ( a_select2(X2,sK30(X1,X2,X3)) != X3
& leq(sK30(X1,X2,X3),X1)
& leq(n0,sK30(X1,X2,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f156,f234]) ).
fof(f234,plain,
! [X1,X2,X3] :
( ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) )
=> ( a_select2(X2,sK30(X1,X2,X3)) != X3
& leq(sK30(X1,X2,X3),X1)
& leq(n0,sK30(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X1)
& leq(n0,X0)
& ! [X4] :
( ( leq(X4,X1)
& leq(n0,X4) )
=> a_select2(X2,X4) = X3 ) )
=> a_select2(tptp_update2(X2,X1,X3),X0) = X3 ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4,X6,X0,X16] :
( ( leq(X4,X6)
& leq(n0,X4)
& ! [X25] :
( ( leq(X25,X6)
& leq(n0,X25) )
=> a_select2(X0,X25) = X16 ) )
=> a_select2(tptp_update2(X0,X6,X16),X4) = X16 ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',sel2_update_3) ).
fof(f2554,plain,
( spl41_225
| ~ spl41_63
| ~ spl41_224 ),
inference(avatar_split_clause,[],[f2550,f2546,f783,f2552]) ).
fof(f2552,plain,
( spl41_225
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_225])]) ).
fof(f2546,plain,
( spl41_224
<=> ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_224])]) ).
fof(f2550,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4) )
| ~ spl41_63
| ~ spl41_224 ),
inference(forward_demodulation,[],[f2549,f785]) ).
fof(f2549,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_224 ),
inference(forward_demodulation,[],[f2547,f785]) ).
fof(f2547,plain,
( ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl41_224 ),
inference(avatar_component_clause,[],[f2546]) ).
fof(f2548,plain,
spl41_224,
inference(avatar_split_clause,[],[f330,f2546]) ).
fof(f330,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> ( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',finite_domain_4) ).
fof(f2477,plain,
( spl41_223
| ~ spl41_63
| ~ spl41_215 ),
inference(avatar_split_clause,[],[f2444,f2441,f783,f2475]) ).
fof(f2475,plain,
( spl41_223
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK30(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_223])]) ).
fof(f2441,plain,
( spl41_215
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK30(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_215])]) ).
fof(f2444,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK30(X1,X2,X3),X1) )
| ~ spl41_63
| ~ spl41_215 ),
inference(forward_demodulation,[],[f2442,f785]) ).
fof(f2442,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK30(X1,X2,X3),X1) )
| ~ spl41_215 ),
inference(avatar_component_clause,[],[f2441]) ).
fof(f2473,plain,
( spl41_222
| ~ spl41_63
| ~ spl41_214 ),
inference(avatar_split_clause,[],[f2439,f2435,f783,f2471]) ).
fof(f2471,plain,
( spl41_222
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK30(X1,X2,X3))
| ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_222])]) ).
fof(f2435,plain,
( spl41_214
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK30(X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_214])]) ).
fof(f2439,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK30(X1,X2,X3))
| ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1) )
| ~ spl41_63
| ~ spl41_214 ),
inference(forward_demodulation,[],[f2438,f785]) ).
fof(f2438,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(n0,sK30(X1,X2,X3)) )
| ~ spl41_63
| ~ spl41_214 ),
inference(forward_demodulation,[],[f2436,f785]) ).
fof(f2436,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK30(X1,X2,X3)) )
| ~ spl41_214 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f2469,plain,
( spl41_220
| spl41_221
| ~ spl41_2
| ~ spl41_176 ),
inference(avatar_split_clause,[],[f1905,f1773,f459,f2466,f2462]) ).
fof(f1905,plain,
( n4 = pv40
| gt(n4,pv40)
| ~ spl41_2
| ~ spl41_176 ),
inference(resolution,[],[f1774,f461]) ).
fof(f2460,plain,
spl41_219,
inference(avatar_split_clause,[],[f433,f2458]) ).
fof(f2458,plain,
( spl41_219
<=> ! [X0,X1] :
( a_select3(X0,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_219])]) ).
fof(f433,plain,
! [X0,X1] :
( a_select3(X0,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( ( a_select3(X0,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
& leq(sK40(X0,X1),X1)
& leq(n0,sK40(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1)) )
| ~ sP10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f254,f255]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
& leq(sK40(X0,X1),X1)
& leq(n0,sK40(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP10(X0,X1) ),
inference(rectify,[],[f253]) ).
fof(f253,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
inference(nnf_transformation,[],[f187]) ).
fof(f2456,plain,
spl41_218,
inference(avatar_split_clause,[],[f428,f2454]) ).
fof(f2454,plain,
( spl41_218
<=> ! [X0,X1] :
( a_select3(X0,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_218])]) ).
fof(f428,plain,
! [X0,X1] :
( a_select3(X0,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0,X1] :
( ( a_select3(X0,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1)) )
| ~ sP11(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f250,f251]) ).
fof(f251,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f250,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP11(X0,X1) ),
inference(rectify,[],[f249]) ).
fof(f249,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
inference(nnf_transformation,[],[f188]) ).
fof(f2452,plain,
spl41_217,
inference(avatar_split_clause,[],[f423,f2450]) ).
fof(f2450,plain,
( spl41_217
<=> ! [X0,X1] :
( a_select3(X0,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_217])]) ).
fof(f423,plain,
! [X0,X1] :
( a_select3(X0,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( ( a_select3(X0,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1)) )
| ~ sP12(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f246,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP12(X0,X1) ),
inference(rectify,[],[f245]) ).
fof(f245,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
inference(nnf_transformation,[],[f189]) ).
fof(f2448,plain,
spl41_216,
inference(avatar_split_clause,[],[f408,f2446]) ).
fof(f2446,plain,
( spl41_216
<=> ! [X0,X1] :
( a_select3(X0,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_216])]) ).
fof(f408,plain,
! [X0,X1] :
( a_select3(X0,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( ( a_select3(X0,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
& leq(sK32(X0,X1),X1)
& leq(n0,sK32(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1)) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f237,f238]) ).
fof(f238,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
& leq(sK32(X0,X1),X1)
& leq(n0,sK32(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f236]) ).
fof(f236,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
inference(nnf_transformation,[],[f183]) ).
fof(f2443,plain,
spl41_215,
inference(avatar_split_clause,[],[f402,f2441]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK30(X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f2437,plain,
spl41_214,
inference(avatar_split_clause,[],[f401,f2435]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK30(X1,X2,X3)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f2433,plain,
spl41_213,
inference(avatar_split_clause,[],[f397,f2431]) ).
fof(f2431,plain,
( spl41_213
<=> ! [X0,X1] :
( a_select3(X0,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_213])]) ).
fof(f397,plain,
! [X0,X1] :
( a_select3(X0,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( ( a_select3(X0,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
& leq(sK29(X0,X1),X1)
& leq(n0,sK29(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1)) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f230,f231]) ).
fof(f231,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
& leq(sK29(X0,X1),X1)
& leq(n0,sK29(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f229]) ).
fof(f229,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
inference(nnf_transformation,[],[f181]) ).
fof(f2429,plain,
spl41_212,
inference(avatar_split_clause,[],[f391,f2427]) ).
fof(f2427,plain,
( spl41_212
<=> ! [X0,X1] :
( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_212])]) ).
fof(f391,plain,
! [X0,X1] :
( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1)) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f225,f226]) ).
fof(f226,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f224]) ).
fof(f224,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
inference(nnf_transformation,[],[f178]) ).
fof(f2425,plain,
spl41_211,
inference(avatar_split_clause,[],[f386,f2423]) ).
fof(f2423,plain,
( spl41_211
<=> ! [X0,X1] :
( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_211])]) ).
fof(f386,plain,
! [X0,X1] :
( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( ( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f221,f222]) ).
fof(f222,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f220]) ).
fof(f220,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
inference(nnf_transformation,[],[f179]) ).
fof(f2421,plain,
spl41_210,
inference(avatar_split_clause,[],[f380,f2419]) ).
fof(f2419,plain,
( spl41_210
<=> ! [X0,X1] :
( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_210])]) ).
fof(f380,plain,
! [X0,X1] :
( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( ( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f216,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f215]) ).
fof(f215,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
inference(nnf_transformation,[],[f175]) ).
fof(f2417,plain,
spl41_209,
inference(avatar_split_clause,[],[f375,f2415]) ).
fof(f2415,plain,
( spl41_209
<=> ! [X0,X1] :
( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_209])]) ).
fof(f375,plain,
! [X0,X1] :
( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1] :
( ( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f212,f213]) ).
fof(f213,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f212,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f211]) ).
fof(f211,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
inference(nnf_transformation,[],[f176]) ).
fof(f2413,plain,
spl41_208,
inference(avatar_split_clause,[],[f356,f2411]) ).
fof(f2411,plain,
( spl41_208
<=> ! [X0,X1] :
( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_208])]) ).
fof(f356,plain,
! [X0,X1] :
( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( ( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1)) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f202,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f173]) ).
fof(f2409,plain,
spl41_207,
inference(avatar_split_clause,[],[f350,f2407]) ).
fof(f2407,plain,
( spl41_207
<=> ! [X0,X1] :
( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_207])]) ).
fof(f350,plain,
! [X0,X1] :
( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( ( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f198,f199]) ).
fof(f199,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f171]) ).
fof(f2405,plain,
spl41_206,
inference(avatar_split_clause,[],[f344,f2403]) ).
fof(f2403,plain,
( spl41_206
<=> ! [X0,X1] :
( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_206])]) ).
fof(f344,plain,
! [X0,X1] :
( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f194,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f169]) ).
fof(f2401,plain,
spl41_205,
inference(avatar_split_clause,[],[f415,f2399]) ).
fof(f2399,plain,
( spl41_205
<=> ! [X0,X3,X2,X1] :
( a_select3(X1,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_205])]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( a_select3(X1,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( ( a_select3(X1,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)) != X0
& leq(sK34(X0,X1,X2,X3),X2)
& leq(sK33(X0,X1,X2,X3),X3)
& leq(n0,sK34(X0,X1,X2,X3))
& leq(n0,sK33(X0,X1,X2,X3)) )
| ~ sP9(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f242,f243]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != X0
& leq(X5,X2)
& leq(X4,X3)
& leq(n0,X5)
& leq(n0,X4) )
=> ( a_select3(X1,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)) != X0
& leq(sK34(X0,X1,X2,X3),X2)
& leq(sK33(X0,X1,X2,X3),X3)
& leq(n0,sK34(X0,X1,X2,X3))
& leq(n0,sK33(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != X0
& leq(X5,X2)
& leq(X4,X3)
& leq(n0,X5)
& leq(n0,X4) )
| ~ sP9(X0,X1,X2,X3) ),
inference(rectify,[],[f241]) ).
fof(f241,plain,
! [X5,X4,X3,X2] :
( ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP9(X5,X4,X3,X2) ),
inference(nnf_transformation,[],[f185]) ).
fof(f2365,plain,
( spl41_204
| ~ spl41_63
| ~ spl41_202 ),
inference(avatar_split_clause,[],[f2356,f2352,f783,f2363]) ).
fof(f2363,plain,
( spl41_204
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_204])]) ).
fof(f2352,plain,
( spl41_202
<=> ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_202])]) ).
fof(f2356,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) )
| ~ spl41_63
| ~ spl41_202 ),
inference(forward_demodulation,[],[f2355,f785]) ).
fof(f2355,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_202 ),
inference(forward_demodulation,[],[f2353,f785]) ).
fof(f2353,plain,
( ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl41_202 ),
inference(avatar_component_clause,[],[f2352]) ).
fof(f2361,plain,
( ~ spl41_203
| spl41_57
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f2219,f783,f746,f2358]) ).
fof(f2358,plain,
( spl41_203
<=> init = a_select2(rho_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_203])]) ).
fof(f746,plain,
( spl41_57
<=> init = a_select2(rho_init,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_57])]) ).
fof(f2219,plain,
( init != a_select2(rho_init,tptp_float_0_0)
| spl41_57
| ~ spl41_63 ),
inference(superposition,[],[f747,f785]) ).
fof(f747,plain,
( init != a_select2(rho_init,n0)
| spl41_57 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f2354,plain,
spl41_202,
inference(avatar_split_clause,[],[f327,f2352]) ).
fof(f327,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> ( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',finite_domain_3) ).
fof(f2346,plain,
spl41_201,
inference(avatar_split_clause,[],[f410,f2344]) ).
fof(f2344,plain,
( spl41_201
<=> ! [X2,X4,X0,X3,X1] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_201])]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4,X6,X0,X16,X24] :
( ( a_select2(X0,X6) = X16
& X4 != X6 )
=> a_select2(tptp_update2(X0,X4,X24),X6) = X16 ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',sel2_update_2) ).
fof(f2243,plain,
( spl41_200
| ~ spl41_63
| ~ spl41_198 ),
inference(avatar_split_clause,[],[f2235,f2231,f783,f2241]) ).
fof(f2241,plain,
( spl41_200
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_200])]) ).
fof(f2231,plain,
( spl41_198
<=> ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_198])]) ).
fof(f2235,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) )
| ~ spl41_63
| ~ spl41_198 ),
inference(forward_demodulation,[],[f2234,f785]) ).
fof(f2234,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_198 ),
inference(forward_demodulation,[],[f2232,f785]) ).
fof(f2232,plain,
( ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl41_198 ),
inference(avatar_component_clause,[],[f2231]) ).
fof(f2239,plain,
spl41_199,
inference(avatar_split_clause,[],[f400,f2237]) ).
fof(f2237,plain,
( spl41_199
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_199])]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X2)
& leq(X1,X0) )
=> a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6,X7] :
( ( leq(X4,X6)
& leq(X5,X4) )
=> a_select2(tptp_const_array1(dim(X5,X6),X7),X4) = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',const_array1_select) ).
fof(f2233,plain,
spl41_198,
inference(avatar_split_clause,[],[f328,f2231]) ).
fof(f328,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',finite_domain_2) ).
fof(f2172,plain,
( spl41_197
| ~ spl41_63
| ~ spl41_192 ),
inference(avatar_split_clause,[],[f2152,f2149,f783,f2170]) ).
fof(f2170,plain,
( spl41_197
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_197])]) ).
fof(f2149,plain,
( spl41_192
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_192])]) ).
fof(f2152,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_63
| ~ spl41_192 ),
inference(forward_demodulation,[],[f2150,f785]) ).
fof(f2150,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_192 ),
inference(avatar_component_clause,[],[f2149]) ).
fof(f2168,plain,
( spl41_196
| ~ spl41_63
| ~ spl41_191 ),
inference(avatar_split_clause,[],[f2147,f2144,f783,f2166]) ).
fof(f2166,plain,
( spl41_196
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_196])]) ).
fof(f2144,plain,
( spl41_191
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_191])]) ).
fof(f2147,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_63
| ~ spl41_191 ),
inference(forward_demodulation,[],[f2145,f785]) ).
fof(f2145,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_191 ),
inference(avatar_component_clause,[],[f2144]) ).
fof(f2164,plain,
( spl41_195
| ~ spl41_63
| ~ spl41_190 ),
inference(avatar_split_clause,[],[f2141,f2137,f783,f2162]) ).
fof(f2162,plain,
( spl41_195
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_195])]) ).
fof(f2137,plain,
( spl41_190
<=> ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_190])]) ).
fof(f2141,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) )
| ~ spl41_63
| ~ spl41_190 ),
inference(forward_demodulation,[],[f2140,f785]) ).
fof(f2140,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_190 ),
inference(forward_demodulation,[],[f2138,f785]) ).
fof(f2138,plain,
( ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl41_190 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f2160,plain,
spl41_194,
inference(avatar_split_clause,[],[f414,f2158]) ).
fof(f2158,plain,
( spl41_194
<=> ! [X0,X3,X2,X1] :
( leq(sK34(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_194])]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( leq(sK34(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f244]) ).
fof(f2156,plain,
spl41_193,
inference(avatar_split_clause,[],[f413,f2154]) ).
fof(f2154,plain,
( spl41_193
<=> ! [X0,X3,X2,X1] :
( leq(sK33(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_193])]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( leq(sK33(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f244]) ).
fof(f2151,plain,
spl41_192,
inference(avatar_split_clause,[],[f412,f2149]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f244]) ).
fof(f2146,plain,
spl41_191,
inference(avatar_split_clause,[],[f411,f2144]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f244]) ).
fof(f2139,plain,
spl41_190,
inference(avatar_split_clause,[],[f329,f2137]) ).
fof(f329,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( leq(X0,n1)
& leq(n0,X0) )
=> ( n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',finite_domain_1) ).
fof(f2115,plain,
( spl41_189
| ~ spl41_75
| ~ spl41_143
| ~ spl41_181
| ~ spl41_188 ),
inference(avatar_split_clause,[],[f2111,f2107,f1795,f1368,f934,f2113]) ).
fof(f2113,plain,
( spl41_189
<=> ! [X0] : plus(n5,X0) = succ(plus(X0,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_189])]) ).
fof(f934,plain,
( spl41_75
<=> ! [X0] : succ(succ(X0)) = plus(n2,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_75])]) ).
fof(f1368,plain,
( spl41_143
<=> ! [X0] : plus(X0,n3) = succ(plus(n2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_143])]) ).
fof(f1795,plain,
( spl41_181
<=> ! [X0] : plus(X0,n4) = succ(plus(X0,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_181])]) ).
fof(f2107,plain,
( spl41_188
<=> ! [X0] : plus(n5,X0) = succ(plus(n2,plus(n2,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_188])]) ).
fof(f2111,plain,
( ! [X0] : plus(n5,X0) = succ(plus(X0,n4))
| ~ spl41_75
| ~ spl41_143
| ~ spl41_181
| ~ spl41_188 ),
inference(forward_demodulation,[],[f2110,f1796]) ).
fof(f1796,plain,
( ! [X0] : plus(X0,n4) = succ(plus(X0,n3))
| ~ spl41_181 ),
inference(avatar_component_clause,[],[f1795]) ).
fof(f2110,plain,
( ! [X0] : plus(n5,X0) = succ(succ(plus(X0,n3)))
| ~ spl41_75
| ~ spl41_143
| ~ spl41_188 ),
inference(forward_demodulation,[],[f2108,f1689]) ).
fof(f1689,plain,
( ! [X2] : plus(n2,plus(n2,X2)) = succ(plus(X2,n3))
| ~ spl41_75
| ~ spl41_143 ),
inference(superposition,[],[f935,f1369]) ).
fof(f1369,plain,
( ! [X0] : plus(X0,n3) = succ(plus(n2,X0))
| ~ spl41_143 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f935,plain,
( ! [X0] : succ(succ(X0)) = plus(n2,X0)
| ~ spl41_75 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f2108,plain,
( ! [X0] : plus(n5,X0) = succ(plus(n2,plus(n2,X0)))
| ~ spl41_188 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f2109,plain,
spl41_188,
inference(avatar_split_clause,[],[f452,f2107]) ).
fof(f452,plain,
! [X0] : plus(n5,X0) = succ(plus(n2,plus(n2,X0))),
inference(forward_demodulation,[],[f451,f318]) ).
fof(f318,plain,
! [X0] : succ(succ(X0)) = plus(n2,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : succ(succ(X0)) = plus(n2,X0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_2_l) ).
fof(f451,plain,
! [X0] : plus(n5,X0) = succ(plus(n2,succ(succ(X0)))),
inference(forward_demodulation,[],[f325,f318]) ).
fof(f325,plain,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_5_l) ).
fof(f2081,plain,
( spl41_187
| ~ spl41_75
| ~ spl41_143
| ~ spl41_181
| ~ spl41_186 ),
inference(avatar_split_clause,[],[f2077,f2073,f1795,f1368,f934,f2079]) ).
fof(f2079,plain,
( spl41_187
<=> ! [X0] : plus(X0,n5) = succ(plus(X0,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_187])]) ).
fof(f2073,plain,
( spl41_186
<=> ! [X0] : plus(X0,n5) = succ(plus(n2,plus(n2,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_186])]) ).
fof(f2077,plain,
( ! [X0] : plus(X0,n5) = succ(plus(X0,n4))
| ~ spl41_75
| ~ spl41_143
| ~ spl41_181
| ~ spl41_186 ),
inference(forward_demodulation,[],[f2076,f1796]) ).
fof(f2076,plain,
( ! [X0] : plus(X0,n5) = succ(succ(plus(X0,n3)))
| ~ spl41_75
| ~ spl41_143
| ~ spl41_186 ),
inference(forward_demodulation,[],[f2074,f1689]) ).
fof(f2074,plain,
( ! [X0] : plus(X0,n5) = succ(plus(n2,plus(n2,X0)))
| ~ spl41_186 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f2075,plain,
spl41_186,
inference(avatar_split_clause,[],[f450,f2073]) ).
fof(f450,plain,
! [X0] : plus(X0,n5) = succ(plus(n2,plus(n2,X0))),
inference(forward_demodulation,[],[f449,f318]) ).
fof(f449,plain,
! [X0] : plus(X0,n5) = succ(plus(n2,succ(succ(X0)))),
inference(forward_demodulation,[],[f324,f318]) ).
fof(f324,plain,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_5_r) ).
fof(f2071,plain,
spl41_185,
inference(avatar_split_clause,[],[f399,f2069]) ).
fof(f2069,plain,
( spl41_185
<=> ! [X2,X0,X1,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_185])]) ).
fof(f399,plain,
! [X2,X3,X0,X1] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X6,X23,X16] : a_select3(tptp_update3(X0,X6,X23,X16),X6,X23) = X16,
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',sel3_update_1) ).
fof(f1860,plain,
( spl41_184
| ~ spl41_63
| ~ spl41_174 ),
inference(avatar_split_clause,[],[f1767,f1762,f783,f1858]) ).
fof(f1858,plain,
( spl41_184
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_184])]) ).
fof(f1762,plain,
( spl41_174
<=> ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_174])]) ).
fof(f1767,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 )
| ~ spl41_63
| ~ spl41_174 ),
inference(forward_demodulation,[],[f1766,f785]) ).
fof(f1766,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_174 ),
inference(forward_demodulation,[],[f1765,f785]) ).
fof(f1765,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_174 ),
inference(forward_demodulation,[],[f1763,f785]) ).
fof(f1763,plain,
( ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl41_174 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1830,plain,
( spl41_183
| ~ spl41_75
| ~ spl41_182 ),
inference(avatar_split_clause,[],[f1826,f1823,f934,f1828]) ).
fof(f1828,plain,
( spl41_183
<=> ! [X0] : plus(n4,X0) = succ(plus(X0,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_183])]) ).
fof(f1823,plain,
( spl41_182
<=> ! [X0] : plus(n4,X0) = succ(plus(n2,succ(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_182])]) ).
fof(f1826,plain,
( ! [X0] : plus(n4,X0) = succ(plus(X0,n3))
| ~ spl41_75
| ~ spl41_182 ),
inference(forward_demodulation,[],[f1824,f980]) ).
fof(f980,plain,
( ! [X1] : plus(n2,succ(X1)) = plus(X1,n3)
| ~ spl41_75 ),
inference(forward_demodulation,[],[f971,f445]) ).
fof(f445,plain,
! [X0] : plus(X0,n3) = succ(plus(n2,X0)),
inference(forward_demodulation,[],[f320,f318]) ).
fof(f320,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_3_r) ).
fof(f971,plain,
( ! [X1] : plus(n2,succ(X1)) = succ(plus(n2,X1))
| ~ spl41_75 ),
inference(superposition,[],[f935,f935]) ).
fof(f1824,plain,
( ! [X0] : plus(n4,X0) = succ(plus(n2,succ(X0)))
| ~ spl41_182 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f1825,plain,
spl41_182,
inference(avatar_split_clause,[],[f448,f1823]) ).
fof(f448,plain,
! [X0] : plus(n4,X0) = succ(plus(n2,succ(X0))),
inference(forward_demodulation,[],[f323,f318]) ).
fof(f323,plain,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_4_l) ).
fof(f1797,plain,
( spl41_181
| ~ spl41_75
| ~ spl41_179 ),
inference(avatar_split_clause,[],[f1788,f1785,f934,f1795]) ).
fof(f1785,plain,
( spl41_179
<=> ! [X0] : plus(X0,n4) = succ(plus(n2,succ(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_179])]) ).
fof(f1788,plain,
( ! [X0] : plus(X0,n4) = succ(plus(X0,n3))
| ~ spl41_75
| ~ spl41_179 ),
inference(forward_demodulation,[],[f1786,f980]) ).
fof(f1786,plain,
( ! [X0] : plus(X0,n4) = succ(plus(n2,succ(X0)))
| ~ spl41_179 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f1793,plain,
( spl41_180
| ~ spl41_72
| ~ spl41_89 ),
inference(avatar_split_clause,[],[f1506,f1124,f840,f1790]) ).
fof(f1790,plain,
( spl41_180
<=> geq(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_180])]) ).
fof(f840,plain,
( spl41_72
<=> ! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_72])]) ).
fof(f1124,plain,
( spl41_89
<=> leq(n1,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_89])]) ).
fof(f1506,plain,
( geq(loopcounter,n1)
| ~ spl41_72
| ~ spl41_89 ),
inference(resolution,[],[f1126,f841]) ).
fof(f841,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| geq(X0,X1) )
| ~ spl41_72 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f1126,plain,
( leq(n1,loopcounter)
| ~ spl41_89 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1787,plain,
spl41_179,
inference(avatar_split_clause,[],[f447,f1785]) ).
fof(f447,plain,
! [X0] : plus(X0,n4) = succ(plus(n2,succ(X0))),
inference(forward_demodulation,[],[f322,f318]) ).
fof(f322,plain,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_4_r) ).
fof(f1783,plain,
spl41_178,
inference(avatar_split_clause,[],[f370,f1781]) ).
fof(f370,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',transitivity_leq) ).
fof(f1779,plain,
spl41_177,
inference(avatar_split_clause,[],[f369,f1777]) ).
fof(f369,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',transitivity_gt) ).
fof(f1775,plain,
spl41_176,
inference(avatar_split_clause,[],[f339,f1773]) ).
fof(f339,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',leq_gt2) ).
fof(f1771,plain,
spl41_175,
inference(avatar_split_clause,[],[f332,f1769]) ).
fof(f1769,plain,
( spl41_175
<=> ! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_175])]) ).
fof(f332,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',totality) ).
fof(f1764,plain,
spl41_174,
inference(avatar_split_clause,[],[f331,f1762]) ).
fof(f331,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',finite_domain_0) ).
fof(f1756,plain,
( ~ spl41_173
| spl41_58
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f805,f783,f750,f1753]) ).
fof(f1753,plain,
( spl41_173
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_173])]) ).
fof(f750,plain,
( spl41_58
<=> leq(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_58])]) ).
fof(f805,plain,
( ~ leq(tptp_float_0_0,n4)
| spl41_58
| ~ spl41_63 ),
inference(superposition,[],[f752,f785]) ).
fof(f752,plain,
( ~ leq(n0,n4)
| spl41_58 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f1679,plain,
( spl41_172
| ~ spl41_63
| ~ spl41_141 ),
inference(avatar_split_clause,[],[f1362,f1359,f783,f1677]) ).
fof(f1677,plain,
( spl41_172
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_172])]) ).
fof(f1359,plain,
( spl41_141
<=> ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_141])]) ).
fof(f1362,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_63
| ~ spl41_141 ),
inference(forward_demodulation,[],[f1360,f785]) ).
fof(f1360,plain,
( ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_141 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f1669,plain,
( spl41_171
| ~ spl41_63
| ~ spl41_139 ),
inference(avatar_split_clause,[],[f1353,f1350,f783,f1667]) ).
fof(f1667,plain,
( spl41_171
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_171])]) ).
fof(f1350,plain,
( spl41_139
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_139])]) ).
fof(f1353,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_63
| ~ spl41_139 ),
inference(forward_demodulation,[],[f1351,f785]) ).
fof(f1351,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_139 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1658,plain,
( spl41_170
| ~ spl41_63
| ~ spl41_137 ),
inference(avatar_split_clause,[],[f1344,f1341,f783,f1656]) ).
fof(f1656,plain,
( spl41_170
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_170])]) ).
fof(f1341,plain,
( spl41_137
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_137])]) ).
fof(f1344,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_63
| ~ spl41_137 ),
inference(forward_demodulation,[],[f1342,f785]) ).
fof(f1342,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_137 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1648,plain,
( spl41_169
| ~ spl41_63
| ~ spl41_135 ),
inference(avatar_split_clause,[],[f1335,f1332,f783,f1646]) ).
fof(f1646,plain,
( spl41_169
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_169])]) ).
fof(f1332,plain,
( spl41_135
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_135])]) ).
fof(f1335,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_63
| ~ spl41_135 ),
inference(forward_demodulation,[],[f1333,f785]) ).
fof(f1333,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_135 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1638,plain,
( spl41_168
| ~ spl41_63
| ~ spl41_132 ),
inference(avatar_split_clause,[],[f1321,f1318,f783,f1636]) ).
fof(f1636,plain,
( spl41_168
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_168])]) ).
fof(f1318,plain,
( spl41_132
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_132])]) ).
fof(f1321,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_63
| ~ spl41_132 ),
inference(forward_demodulation,[],[f1319,f785]) ).
fof(f1319,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_132 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1628,plain,
( spl41_167
| ~ spl41_63
| ~ spl41_130 ),
inference(avatar_split_clause,[],[f1312,f1309,f783,f1626]) ).
fof(f1626,plain,
( spl41_167
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_167])]) ).
fof(f1309,plain,
( spl41_130
<=> ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_130])]) ).
fof(f1312,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_63
| ~ spl41_130 ),
inference(forward_demodulation,[],[f1310,f785]) ).
fof(f1310,plain,
( ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_130 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1618,plain,
( spl41_166
| ~ spl41_63
| ~ spl41_128 ),
inference(avatar_split_clause,[],[f1303,f1300,f783,f1616]) ).
fof(f1616,plain,
( spl41_166
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_166])]) ).
fof(f1300,plain,
( spl41_128
<=> ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_128])]) ).
fof(f1303,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_63
| ~ spl41_128 ),
inference(forward_demodulation,[],[f1301,f785]) ).
fof(f1301,plain,
( ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_128 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1607,plain,
( spl41_165
| ~ spl41_63
| ~ spl41_126 ),
inference(avatar_split_clause,[],[f1294,f1291,f783,f1605]) ).
fof(f1605,plain,
( spl41_165
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_165])]) ).
fof(f1291,plain,
( spl41_126
<=> ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_126])]) ).
fof(f1294,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_63
| ~ spl41_126 ),
inference(forward_demodulation,[],[f1292,f785]) ).
fof(f1292,plain,
( ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_126 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1597,plain,
( spl41_164
| ~ spl41_63
| ~ spl41_124 ),
inference(avatar_split_clause,[],[f1285,f1282,f783,f1595]) ).
fof(f1595,plain,
( spl41_164
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_164])]) ).
fof(f1282,plain,
( spl41_124
<=> ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_124])]) ).
fof(f1285,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_63
| ~ spl41_124 ),
inference(forward_demodulation,[],[f1283,f785]) ).
fof(f1283,plain,
( ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_124 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1587,plain,
( spl41_163
| ~ spl41_63
| ~ spl41_121 ),
inference(avatar_split_clause,[],[f1271,f1268,f783,f1585]) ).
fof(f1585,plain,
( spl41_163
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_163])]) ).
fof(f1268,plain,
( spl41_121
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_121])]) ).
fof(f1271,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_63
| ~ spl41_121 ),
inference(forward_demodulation,[],[f1269,f785]) ).
fof(f1269,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_121 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1577,plain,
( spl41_162
| ~ spl41_63
| ~ spl41_119 ),
inference(avatar_split_clause,[],[f1262,f1259,f783,f1575]) ).
fof(f1575,plain,
( spl41_162
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_162])]) ).
fof(f1259,plain,
( spl41_119
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_119])]) ).
fof(f1262,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_63
| ~ spl41_119 ),
inference(forward_demodulation,[],[f1260,f785]) ).
fof(f1260,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_119 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1567,plain,
( spl41_161
| ~ spl41_63
| ~ spl41_117 ),
inference(avatar_split_clause,[],[f1253,f1250,f783,f1565]) ).
fof(f1565,plain,
( spl41_161
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_161])]) ).
fof(f1250,plain,
( spl41_117
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_117])]) ).
fof(f1253,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_63
| ~ spl41_117 ),
inference(forward_demodulation,[],[f1251,f785]) ).
fof(f1251,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_117 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1556,plain,
( spl41_160
| ~ spl41_63
| ~ spl41_115 ),
inference(avatar_split_clause,[],[f1244,f1241,f783,f1554]) ).
fof(f1554,plain,
( spl41_160
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_160])]) ).
fof(f1241,plain,
( spl41_115
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_115])]) ).
fof(f1244,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_63
| ~ spl41_115 ),
inference(forward_demodulation,[],[f1242,f785]) ).
fof(f1242,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_115 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1546,plain,
( spl41_159
| ~ spl41_63
| ~ spl41_113 ),
inference(avatar_split_clause,[],[f1235,f1232,f783,f1544]) ).
fof(f1544,plain,
( spl41_159
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_159])]) ).
fof(f1232,plain,
( spl41_113
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_113])]) ).
fof(f1235,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_63
| ~ spl41_113 ),
inference(forward_demodulation,[],[f1233,f785]) ).
fof(f1233,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_113 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1536,plain,
( spl41_158
| ~ spl41_63
| ~ spl41_110 ),
inference(avatar_split_clause,[],[f1221,f1218,f783,f1534]) ).
fof(f1534,plain,
( spl41_158
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_158])]) ).
fof(f1218,plain,
( spl41_110
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_110])]) ).
fof(f1221,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_63
| ~ spl41_110 ),
inference(forward_demodulation,[],[f1219,f785]) ).
fof(f1219,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_110 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1526,plain,
( spl41_157
| ~ spl41_63
| ~ spl41_108 ),
inference(avatar_split_clause,[],[f1212,f1209,f783,f1524]) ).
fof(f1524,plain,
( spl41_157
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_157])]) ).
fof(f1209,plain,
( spl41_108
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_108])]) ).
fof(f1212,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_63
| ~ spl41_108 ),
inference(forward_demodulation,[],[f1210,f785]) ).
fof(f1210,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_108 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1516,plain,
( spl41_156
| ~ spl41_63
| ~ spl41_106 ),
inference(avatar_split_clause,[],[f1203,f1200,f783,f1514]) ).
fof(f1514,plain,
( spl41_156
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_156])]) ).
fof(f1200,plain,
( spl41_106
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_106])]) ).
fof(f1203,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_63
| ~ spl41_106 ),
inference(forward_demodulation,[],[f1201,f785]) ).
fof(f1201,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_106 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1505,plain,
( spl41_155
| ~ spl41_63
| ~ spl41_104 ),
inference(avatar_split_clause,[],[f1194,f1191,f783,f1503]) ).
fof(f1503,plain,
( spl41_155
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_155])]) ).
fof(f1191,plain,
( spl41_104
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_104])]) ).
fof(f1194,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_63
| ~ spl41_104 ),
inference(forward_demodulation,[],[f1192,f785]) ).
fof(f1192,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_104 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1446,plain,
( spl41_154
| ~ spl41_63
| ~ spl41_98 ),
inference(avatar_split_clause,[],[f1168,f1165,f783,f1444]) ).
fof(f1444,plain,
( spl41_154
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_154])]) ).
fof(f1165,plain,
( spl41_98
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_98])]) ).
fof(f1168,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_63
| ~ spl41_98 ),
inference(forward_demodulation,[],[f1166,f785]) ).
fof(f1166,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_98 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1436,plain,
( spl41_153
| ~ spl41_63
| ~ spl41_96 ),
inference(avatar_split_clause,[],[f1159,f1156,f783,f1434]) ).
fof(f1434,plain,
( spl41_153
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_153])]) ).
fof(f1156,plain,
( spl41_96
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_96])]) ).
fof(f1159,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_63
| ~ spl41_96 ),
inference(forward_demodulation,[],[f1157,f785]) ).
fof(f1157,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_96 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1426,plain,
( spl41_152
| ~ spl41_63
| ~ spl41_94 ),
inference(avatar_split_clause,[],[f1150,f1147,f783,f1424]) ).
fof(f1424,plain,
( spl41_152
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_152])]) ).
fof(f1147,plain,
( spl41_94
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_94])]) ).
fof(f1150,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_63
| ~ spl41_94 ),
inference(forward_demodulation,[],[f1148,f785]) ).
fof(f1148,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_94 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1415,plain,
( spl41_151
| ~ spl41_63
| ~ spl41_92 ),
inference(avatar_split_clause,[],[f1141,f1138,f783,f1413]) ).
fof(f1413,plain,
( spl41_151
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_151])]) ).
fof(f1138,plain,
( spl41_92
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_92])]) ).
fof(f1141,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_63
| ~ spl41_92 ),
inference(forward_demodulation,[],[f1139,f785]) ).
fof(f1139,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_92 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f1405,plain,
( spl41_150
| ~ spl41_63
| ~ spl41_90 ),
inference(avatar_split_clause,[],[f1132,f1129,f783,f1403]) ).
fof(f1403,plain,
( spl41_150
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_150])]) ).
fof(f1129,plain,
( spl41_90
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_90])]) ).
fof(f1132,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_63
| ~ spl41_90 ),
inference(forward_demodulation,[],[f1130,f785]) ).
fof(f1130,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_90 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1395,plain,
( spl41_149
| ~ spl41_63
| ~ spl41_87 ),
inference(avatar_split_clause,[],[f1118,f1115,f783,f1393]) ).
fof(f1393,plain,
( spl41_149
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_149])]) ).
fof(f1115,plain,
( spl41_87
<=> ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_87])]) ).
fof(f1118,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_63
| ~ spl41_87 ),
inference(forward_demodulation,[],[f1116,f785]) ).
fof(f1116,plain,
( ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_87 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1391,plain,
( spl41_148
| ~ spl41_63
| ~ spl41_86 ),
inference(avatar_split_clause,[],[f1113,f1110,f783,f1389]) ).
fof(f1389,plain,
( spl41_148
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_148])]) ).
fof(f1110,plain,
( spl41_86
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_86])]) ).
fof(f1113,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_63
| ~ spl41_86 ),
inference(forward_demodulation,[],[f1111,f785]) ).
fof(f1111,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_86 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1387,plain,
( spl41_147
| ~ spl41_63
| ~ spl41_85 ),
inference(avatar_split_clause,[],[f1108,f1105,f783,f1385]) ).
fof(f1385,plain,
( spl41_147
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_147])]) ).
fof(f1105,plain,
( spl41_85
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_85])]) ).
fof(f1108,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl41_63
| ~ spl41_85 ),
inference(forward_demodulation,[],[f1106,f785]) ).
fof(f1106,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl41_85 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1383,plain,
( spl41_146
| ~ spl41_63
| ~ spl41_84 ),
inference(avatar_split_clause,[],[f1103,f1099,f783,f1381]) ).
fof(f1381,plain,
( spl41_146
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_146])]) ).
fof(f1099,plain,
( spl41_84
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f1103,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl41_63
| ~ spl41_84 ),
inference(forward_demodulation,[],[f1102,f785]) ).
fof(f1102,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_84 ),
inference(forward_demodulation,[],[f1100,f785]) ).
fof(f1100,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_84 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1379,plain,
spl41_145,
inference(avatar_split_clause,[],[f446,f1377]) ).
fof(f1377,plain,
( spl41_145
<=> ! [X0] : plus(n3,X0) = succ(plus(n2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_145])]) ).
fof(f446,plain,
! [X0] : plus(n3,X0) = succ(plus(n2,X0)),
inference(forward_demodulation,[],[f321,f318]) ).
fof(f321,plain,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_3_l) ).
fof(f1375,plain,
( spl41_144
| ~ spl41_4
| ~ spl41_63
| ~ spl41_72 ),
inference(avatar_split_clause,[],[f932,f840,f783,f469,f1372]) ).
fof(f1372,plain,
( spl41_144
<=> geq(sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_144])]) ).
fof(f932,plain,
( geq(sK13,tptp_float_0_0)
| ~ spl41_4
| ~ spl41_63
| ~ spl41_72 ),
inference(forward_demodulation,[],[f928,f785]) ).
fof(f928,plain,
( geq(sK13,n0)
| ~ spl41_4
| ~ spl41_72 ),
inference(resolution,[],[f841,f471]) ).
fof(f1370,plain,
spl41_143,
inference(avatar_split_clause,[],[f445,f1368]) ).
fof(f1366,plain,
spl41_142,
inference(avatar_split_clause,[],[f432,f1364]) ).
fof(f1364,plain,
( spl41_142
<=> ! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_142])]) ).
fof(f432,plain,
! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1361,plain,
spl41_141,
inference(avatar_split_clause,[],[f431,f1359]) ).
fof(f431,plain,
! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1357,plain,
spl41_140,
inference(avatar_split_clause,[],[f430,f1355]) ).
fof(f1355,plain,
( spl41_140
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_140])]) ).
fof(f430,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1352,plain,
spl41_139,
inference(avatar_split_clause,[],[f429,f1350]) ).
fof(f429,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1348,plain,
spl41_138,
inference(avatar_split_clause,[],[f427,f1346]) ).
fof(f1346,plain,
( spl41_138
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_138])]) ).
fof(f427,plain,
! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f1343,plain,
spl41_137,
inference(avatar_split_clause,[],[f426,f1341]) ).
fof(f426,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f1339,plain,
spl41_136,
inference(avatar_split_clause,[],[f425,f1337]) ).
fof(f1337,plain,
( spl41_136
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_136])]) ).
fof(f425,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f1334,plain,
spl41_135,
inference(avatar_split_clause,[],[f424,f1332]) ).
fof(f424,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f1330,plain,
spl41_134,
inference(avatar_split_clause,[],[f422,f1328]) ).
fof(f1328,plain,
( spl41_134
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_134])]) ).
fof(f422,plain,
! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1326,plain,
( spl41_133
| ~ spl41_1
| ~ spl41_63
| ~ spl41_72 ),
inference(avatar_split_clause,[],[f931,f840,f783,f454,f1323]) ).
fof(f1323,plain,
( spl41_133
<=> geq(pv40,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_133])]) ).
fof(f931,plain,
( geq(pv40,tptp_float_0_0)
| ~ spl41_1
| ~ spl41_63
| ~ spl41_72 ),
inference(forward_demodulation,[],[f927,f785]) ).
fof(f927,plain,
( geq(pv40,n0)
| ~ spl41_1
| ~ spl41_72 ),
inference(resolution,[],[f841,f456]) ).
fof(f1320,plain,
spl41_132,
inference(avatar_split_clause,[],[f421,f1318]) ).
fof(f421,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1316,plain,
spl41_131,
inference(avatar_split_clause,[],[f420,f1314]) ).
fof(f1314,plain,
( spl41_131
<=> ! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_131])]) ).
fof(f420,plain,
! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1311,plain,
spl41_130,
inference(avatar_split_clause,[],[f419,f1309]) ).
fof(f419,plain,
! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1307,plain,
spl41_129,
inference(avatar_split_clause,[],[f407,f1305]) ).
fof(f1305,plain,
( spl41_129
<=> ! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_129])]) ).
fof(f407,plain,
! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f1302,plain,
spl41_128,
inference(avatar_split_clause,[],[f406,f1300]) ).
fof(f406,plain,
! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f1298,plain,
spl41_127,
inference(avatar_split_clause,[],[f405,f1296]) ).
fof(f1296,plain,
( spl41_127
<=> ! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_127])]) ).
fof(f405,plain,
! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f1293,plain,
spl41_126,
inference(avatar_split_clause,[],[f404,f1291]) ).
fof(f404,plain,
! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f1289,plain,
spl41_125,
inference(avatar_split_clause,[],[f396,f1287]) ).
fof(f1287,plain,
( spl41_125
<=> ! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_125])]) ).
fof(f396,plain,
! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1284,plain,
spl41_124,
inference(avatar_split_clause,[],[f395,f1282]) ).
fof(f395,plain,
! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1280,plain,
spl41_123,
inference(avatar_split_clause,[],[f394,f1278]) ).
fof(f1278,plain,
( spl41_123
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_123])]) ).
fof(f394,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1276,plain,
( spl41_122
| ~ spl41_5
| ~ spl41_72 ),
inference(avatar_split_clause,[],[f930,f840,f474,f1273]) ).
fof(f1273,plain,
( spl41_122
<=> geq(n4,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_122])]) ).
fof(f930,plain,
( geq(n4,sK13)
| ~ spl41_5
| ~ spl41_72 ),
inference(resolution,[],[f841,f476]) ).
fof(f1270,plain,
spl41_121,
inference(avatar_split_clause,[],[f393,f1268]) ).
fof(f393,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1266,plain,
spl41_120,
inference(avatar_split_clause,[],[f390,f1264]) ).
fof(f1264,plain,
( spl41_120
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_120])]) ).
fof(f390,plain,
! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f1261,plain,
spl41_119,
inference(avatar_split_clause,[],[f389,f1259]) ).
fof(f389,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f1257,plain,
spl41_118,
inference(avatar_split_clause,[],[f388,f1255]) ).
fof(f1255,plain,
( spl41_118
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_118])]) ).
fof(f388,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f1252,plain,
spl41_117,
inference(avatar_split_clause,[],[f387,f1250]) ).
fof(f387,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f1248,plain,
spl41_116,
inference(avatar_split_clause,[],[f385,f1246]) ).
fof(f1246,plain,
( spl41_116
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_116])]) ).
fof(f385,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1243,plain,
spl41_115,
inference(avatar_split_clause,[],[f384,f1241]) ).
fof(f384,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1239,plain,
spl41_114,
inference(avatar_split_clause,[],[f383,f1237]) ).
fof(f1237,plain,
( spl41_114
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_114])]) ).
fof(f383,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1234,plain,
spl41_113,
inference(avatar_split_clause,[],[f382,f1232]) ).
fof(f382,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1230,plain,
spl41_112,
inference(avatar_split_clause,[],[f379,f1228]) ).
fof(f1228,plain,
( spl41_112
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_112])]) ).
fof(f379,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f1226,plain,
( spl41_111
| ~ spl41_2
| ~ spl41_72 ),
inference(avatar_split_clause,[],[f929,f840,f459,f1223]) ).
fof(f1223,plain,
( spl41_111
<=> geq(n4,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_111])]) ).
fof(f929,plain,
( geq(n4,pv40)
| ~ spl41_2
| ~ spl41_72 ),
inference(resolution,[],[f841,f461]) ).
fof(f1220,plain,
spl41_110,
inference(avatar_split_clause,[],[f378,f1218]) ).
fof(f378,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f1216,plain,
spl41_109,
inference(avatar_split_clause,[],[f377,f1214]) ).
fof(f1214,plain,
( spl41_109
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_109])]) ).
fof(f377,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f1211,plain,
spl41_108,
inference(avatar_split_clause,[],[f376,f1209]) ).
fof(f376,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f1207,plain,
spl41_107,
inference(avatar_split_clause,[],[f374,f1205]) ).
fof(f1205,plain,
( spl41_107
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_107])]) ).
fof(f374,plain,
! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f1202,plain,
spl41_106,
inference(avatar_split_clause,[],[f373,f1200]) ).
fof(f373,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f1198,plain,
spl41_105,
inference(avatar_split_clause,[],[f372,f1196]) ).
fof(f1196,plain,
( spl41_105
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_105])]) ).
fof(f372,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f1193,plain,
spl41_104,
inference(avatar_split_clause,[],[f371,f1191]) ).
fof(f371,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f1189,plain,
spl41_103,
inference(avatar_split_clause,[],[f368,f1187]) ).
fof(f1187,plain,
( spl41_103
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_103])]) ).
fof(f368,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',sel2_update_1) ).
fof(f1185,plain,
spl41_102,
inference(avatar_split_clause,[],[f367,f1183]) ).
fof(f1183,plain,
( spl41_102
<=> ! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_102])]) ).
fof(f367,plain,
! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( leq(succ(X0),succ(X1))
<=> leq(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',leq_succ_succ) ).
fof(f1181,plain,
spl41_101,
inference(avatar_split_clause,[],[f366,f1179]) ).
fof(f1179,plain,
( spl41_101
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_101])]) ).
fof(f366,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1177,plain,
( spl41_100
| ~ spl41_3
| ~ spl41_70 ),
inference(avatar_split_clause,[],[f911,f832,f464,f1174]) ).
fof(f1174,plain,
( spl41_100
<=> lt(n1,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_100])]) ).
fof(f911,plain,
( lt(n1,loopcounter)
| ~ spl41_3
| ~ spl41_70 ),
inference(resolution,[],[f833,f466]) ).
fof(f1172,plain,
spl41_99,
inference(avatar_split_clause,[],[f355,f1170]) ).
fof(f1170,plain,
( spl41_99
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_99])]) ).
fof(f355,plain,
! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f1167,plain,
spl41_98,
inference(avatar_split_clause,[],[f354,f1165]) ).
fof(f354,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f1163,plain,
spl41_97,
inference(avatar_split_clause,[],[f353,f1161]) ).
fof(f1161,plain,
( spl41_97
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_97])]) ).
fof(f353,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f1158,plain,
spl41_96,
inference(avatar_split_clause,[],[f352,f1156]) ).
fof(f352,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f1154,plain,
spl41_95,
inference(avatar_split_clause,[],[f349,f1152]) ).
fof(f1152,plain,
( spl41_95
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_95])]) ).
fof(f349,plain,
! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1149,plain,
spl41_94,
inference(avatar_split_clause,[],[f348,f1147]) ).
fof(f348,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1145,plain,
spl41_93,
inference(avatar_split_clause,[],[f347,f1143]) ).
fof(f1143,plain,
( spl41_93
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_93])]) ).
fof(f347,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1140,plain,
spl41_92,
inference(avatar_split_clause,[],[f346,f1138]) ).
fof(f346,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1136,plain,
spl41_91,
inference(avatar_split_clause,[],[f343,f1134]) ).
fof(f1134,plain,
( spl41_91
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_91])]) ).
fof(f343,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1131,plain,
spl41_90,
inference(avatar_split_clause,[],[f342,f1129]) ).
fof(f342,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1127,plain,
( spl41_89
| ~ spl41_3
| ~ spl41_68 ),
inference(avatar_split_clause,[],[f874,f824,f464,f1124]) ).
fof(f824,plain,
( spl41_68
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_68])]) ).
fof(f874,plain,
( leq(n1,loopcounter)
| ~ spl41_3
| ~ spl41_68 ),
inference(resolution,[],[f825,f466]) ).
fof(f825,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl41_68 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f1122,plain,
spl41_88,
inference(avatar_split_clause,[],[f341,f1120]) ).
fof(f1120,plain,
( spl41_88
<=> ! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_88])]) ).
fof(f341,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1117,plain,
spl41_87,
inference(avatar_split_clause,[],[f340,f1115]) ).
fof(f340,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1112,plain,
spl41_86,
inference(avatar_split_clause,[],[f338,f1110]) ).
fof(f338,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] :
( leq(minus(X0,X1),X0)
=> leq(n0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',leq_minus) ).
fof(f1107,plain,
spl41_85,
inference(avatar_split_clause,[],[f335,f1105]) ).
fof(f335,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X1,X0),X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X3,X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',uniform_int_rand_ranges_hi) ).
fof(f1101,plain,
spl41_84,
inference(avatar_split_clause,[],[f334,f1099]) ).
fof(f334,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X1,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X3,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',uniform_int_rand_ranges_lo) ).
fof(f969,plain,
spl41_83,
inference(avatar_split_clause,[],[f365,f967]) ).
fof(f967,plain,
( spl41_83
<=> ! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_83])]) ).
fof(f365,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',leq_gt_pred) ).
fof(f965,plain,
spl41_82,
inference(avatar_split_clause,[],[f364,f963]) ).
fof(f963,plain,
( spl41_82
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_82])]) ).
fof(f364,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f961,plain,
spl41_81,
inference(avatar_split_clause,[],[f363,f959]) ).
fof(f959,plain,
( spl41_81
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_81])]) ).
fof(f363,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',leq_succ_gt_equiv) ).
fof(f957,plain,
spl41_80,
inference(avatar_split_clause,[],[f362,f955]) ).
fof(f955,plain,
( spl41_80
<=> ! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_80])]) ).
fof(f362,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f953,plain,
spl41_79,
inference(avatar_split_clause,[],[f337,f951]) ).
fof(f951,plain,
( spl41_79
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_79])]) ).
fof(f337,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',leq_succ_gt) ).
fof(f949,plain,
spl41_78,
inference(avatar_split_clause,[],[f333,f947]) ).
fof(f947,plain,
( spl41_78
<=> ! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_78])]) ).
fof(f333,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',leq_succ) ).
fof(f945,plain,
spl41_77,
inference(avatar_split_clause,[],[f319,f943]) ).
fof(f943,plain,
( spl41_77
<=> ! [X0] : plus(X0,n2) = succ(succ(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_77])]) ).
fof(f319,plain,
! [X0] : plus(X0,n2) = succ(succ(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : plus(X0,n2) = succ(succ(X0)),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_2_r) ).
fof(f941,plain,
( spl41_76
| ~ spl41_4
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f788,f783,f469,f938]) ).
fof(f938,plain,
( spl41_76
<=> leq(tptp_float_0_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_76])]) ).
fof(f788,plain,
( leq(tptp_float_0_0,sK13)
| ~ spl41_4
| ~ spl41_63 ),
inference(superposition,[],[f471,f785]) ).
fof(f936,plain,
spl41_75,
inference(avatar_split_clause,[],[f318,f934]) ).
fof(f851,plain,
( spl41_74
| ~ spl41_63
| ~ spl41_67 ),
inference(avatar_split_clause,[],[f822,f819,f783,f849]) ).
fof(f849,plain,
( spl41_74
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_74])]) ).
fof(f819,plain,
( spl41_67
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_67])]) ).
fof(f822,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl41_63
| ~ spl41_67 ),
inference(forward_demodulation,[],[f820,f785]) ).
fof(f820,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_67 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f847,plain,
( spl41_73
| ~ spl41_1
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f787,f783,f454,f844]) ).
fof(f844,plain,
( spl41_73
<=> leq(tptp_float_0_0,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_73])]) ).
fof(f787,plain,
( leq(tptp_float_0_0,pv40)
| ~ spl41_1
| ~ spl41_63 ),
inference(superposition,[],[f456,f785]) ).
fof(f842,plain,
spl41_72,
inference(avatar_split_clause,[],[f361,f840]) ).
fof(f361,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( geq(X0,X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ geq(X0,X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( geq(X0,X1)
<=> leq(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',leq_geq) ).
fof(f838,plain,
spl41_71,
inference(avatar_split_clause,[],[f360,f836]) ).
fof(f836,plain,
( spl41_71
<=> ! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_71])]) ).
fof(f360,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f834,plain,
spl41_70,
inference(avatar_split_clause,[],[f359,f832]) ).
fof(f359,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( ( lt(X0,X1)
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ lt(X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( lt(X0,X1)
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',lt_gt) ).
fof(f830,plain,
spl41_69,
inference(avatar_split_clause,[],[f358,f828]) ).
fof(f828,plain,
( spl41_69
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_69])]) ).
fof(f358,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f826,plain,
spl41_68,
inference(avatar_split_clause,[],[f336,f824]) ).
fof(f336,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',leq_gt1) ).
fof(f821,plain,
spl41_67,
inference(avatar_split_clause,[],[f317,f819]) ).
fof(f317,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X22] : sum(n0,tptp_minus_1,X22) = tptp_float_0_0,
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',sum_plus_base_float) ).
fof(f817,plain,
spl41_66,
inference(avatar_split_clause,[],[f316,f815]) ).
fof(f815,plain,
( spl41_66
<=> ! [X0] : minus(X0,n1) = pred(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_66])]) ).
fof(f316,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',pred_minus_1) ).
fof(f813,plain,
spl41_65,
inference(avatar_split_clause,[],[f315,f811]) ).
fof(f811,plain,
( spl41_65
<=> ! [X0] : succ(X0) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_65])]) ).
fof(f315,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_1_l) ).
fof(f809,plain,
spl41_64,
inference(avatar_split_clause,[],[f314,f807]) ).
fof(f807,plain,
( spl41_64
<=> ! [X0] : succ(X0) = plus(X0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_64])]) ).
fof(f314,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_plus_1_r) ).
fof(f786,plain,
( spl41_63
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f781,f778,f783]) ).
fof(f778,plain,
( spl41_62
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_62])]) ).
fof(f781,plain,
( n0 = tptp_float_0_0
| ~ spl41_62 ),
inference(forward_demodulation,[],[f779,f317]) ).
fof(f779,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_62 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f780,plain,
spl41_62,
inference(avatar_split_clause,[],[f313,f778]) ).
fof(f313,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',sum_plus_base) ).
fof(f769,plain,
spl41_61,
inference(avatar_split_clause,[],[f312,f767]) ).
fof(f767,plain,
( spl41_61
<=> ! [X0] : succ(pred(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_61])]) ).
fof(f312,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_pred) ).
fof(f765,plain,
spl41_60,
inference(avatar_split_clause,[],[f311,f763]) ).
fof(f763,plain,
( spl41_60
<=> ! [X0] : pred(succ(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_60])]) ).
fof(f311,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',pred_succ) ).
fof(f758,plain,
spl41_59,
inference(avatar_split_clause,[],[f261,f756]) ).
fof(f756,plain,
( spl41_59
<=> ! [X9,X8] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9)
| ~ leq(X8,n135299)
| ~ leq(n0,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_59])]) ).
fof(f261,plain,
! [X8,X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9)
| ~ leq(X8,n135299)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( init != a_select2(sigmaold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13)
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f191,f192]) ).
fof(f192,plain,
( ? [X0] :
( init != a_select2(sigmaold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(sigmaold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
( ? [X0] :
( init != a_select2(sigmaold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
( ? [X9] :
( init != a_select2(sigmaold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
( ? [X9] :
( init != a_select2(sigmaold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n1)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigmaold_init,X0) ) )
& ( gt(loopcounter,n1)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rhoold_init,X1) ) )
& ( gt(loopcounter,n1)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(muold_init,X2) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,pred(pv40))
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X5] :
( ( leq(X5,pred(pv40))
& leq(n0,X5) )
=> init = a_select2(mu_init,X5) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(rho_init,X6) )
& ! [X7] :
( ( leq(X7,n135299)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select3(q_init,X7,X8) ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(sigmaold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(sigmaold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(sigmaold_init,X10) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',cl5_nebula_init_0066) ).
fof(f753,plain,
( spl41_57
| ~ spl41_58
| ~ spl41_8
| ~ spl41_44 ),
inference(avatar_split_clause,[],[f682,f668,f489,f750,f746]) ).
fof(f489,plain,
( spl41_8
<=> ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f668,plain,
( spl41_44
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_44])]) ).
fof(f682,plain,
( ~ leq(n0,n4)
| init = a_select2(rho_init,n0)
| ~ spl41_8
| ~ spl41_44 ),
inference(resolution,[],[f669,f490]) ).
fof(f490,plain,
( ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,n4)
| init = a_select2(rho_init,X7) )
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f669,plain,
( ! [X0] : leq(X0,X0)
| ~ spl41_44 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f739,plain,
spl41_56,
inference(avatar_split_clause,[],[f444,f736]) ).
fof(f736,plain,
( spl41_56
<=> n5 = succ(n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_56])]) ).
fof(f444,plain,
n5 = succ(n4),
inference(forward_demodulation,[],[f443,f440]) ).
fof(f440,plain,
n4 = succ(n3),
inference(forward_demodulation,[],[f439,f437]) ).
fof(f437,plain,
n3 = succ(n2),
inference(forward_demodulation,[],[f436,f435]) ).
fof(f435,plain,
n2 = succ(n1),
inference(forward_demodulation,[],[f304,f302]) ).
fof(f302,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',successor_1) ).
fof(f304,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',successor_2) ).
fof(f436,plain,
n3 = succ(succ(n1)),
inference(forward_demodulation,[],[f305,f302]) ).
fof(f305,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',successor_3) ).
fof(f439,plain,
n4 = succ(succ(n2)),
inference(forward_demodulation,[],[f438,f435]) ).
fof(f438,plain,
n4 = succ(succ(succ(n1))),
inference(forward_demodulation,[],[f306,f302]) ).
fof(f306,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',successor_4) ).
fof(f443,plain,
n5 = succ(succ(n3)),
inference(forward_demodulation,[],[f442,f437]) ).
fof(f442,plain,
n5 = succ(succ(succ(n2))),
inference(forward_demodulation,[],[f441,f435]) ).
fof(f441,plain,
n5 = succ(succ(succ(succ(n1)))),
inference(forward_demodulation,[],[f307,f302]) ).
fof(f307,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f90,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',successor_5) ).
fof(f734,plain,
spl41_55,
inference(avatar_split_clause,[],[f440,f731]) ).
fof(f731,plain,
( spl41_55
<=> n4 = succ(n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_55])]) ).
fof(f729,plain,
spl41_54,
inference(avatar_split_clause,[],[f437,f726]) ).
fof(f726,plain,
( spl41_54
<=> n3 = succ(n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_54])]) ).
fof(f724,plain,
spl41_53,
inference(avatar_split_clause,[],[f435,f721]) ).
fof(f721,plain,
( spl41_53
<=> n2 = succ(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_53])]) ).
fof(f719,plain,
spl41_52,
inference(avatar_split_clause,[],[f310,f717]) ).
fof(f717,plain,
( spl41_52
<=> ! [X0] : gt(succ(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_52])]) ).
fof(f310,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_succ) ).
fof(f715,plain,
spl41_51,
inference(avatar_split_clause,[],[f303,f712]) ).
fof(f712,plain,
( spl41_51
<=> n0 = succ(tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_51])]) ).
fof(f303,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',succ_tptp_minus_1) ).
fof(f710,plain,
spl41_50,
inference(avatar_split_clause,[],[f302,f707]) ).
fof(f707,plain,
( spl41_50
<=> n1 = succ(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_50])]) ).
fof(f702,plain,
( ~ spl41_3
| spl41_49 ),
inference(avatar_split_clause,[],[f268,f700,f464]) ).
fof(f268,plain,
! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f695,plain,
( ~ spl41_3
| spl41_48 ),
inference(avatar_split_clause,[],[f267,f693,f464]) ).
fof(f267,plain,
! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f688,plain,
( ~ spl41_3
| spl41_47 ),
inference(avatar_split_clause,[],[f266,f686,f464]) ).
fof(f266,plain,
! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f680,plain,
( spl41_46
| ~ spl41_5
| ~ spl41_4
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f507,f503,f469,f474,f677]) ).
fof(f677,plain,
( spl41_46
<=> init = a_select3(center_init,sK13,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_46])]) ).
fof(f503,plain,
( spl41_11
<=> ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f507,plain,
( ~ leq(sK13,n4)
| init = a_select3(center_init,sK13,n0)
| ~ spl41_4
| ~ spl41_11 ),
inference(resolution,[],[f504,f471]) ).
fof(f504,plain,
( ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select3(center_init,X4,n0) )
| ~ spl41_11 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f675,plain,
( spl41_45
| ~ spl41_2
| ~ spl41_1
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f506,f503,f454,f459,f672]) ).
fof(f672,plain,
( spl41_45
<=> init = a_select3(center_init,pv40,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_45])]) ).
fof(f506,plain,
( ~ leq(pv40,n4)
| init = a_select3(center_init,pv40,n0)
| ~ spl41_1
| ~ spl41_11 ),
inference(resolution,[],[f504,f456]) ).
fof(f670,plain,
spl41_44,
inference(avatar_split_clause,[],[f309,f668]) ).
fof(f309,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',reflexivity_leq) ).
fof(f666,plain,
spl41_43,
inference(avatar_split_clause,[],[f308,f664]) ).
fof(f664,plain,
( spl41_43
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_43])]) ).
fof(f308,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',irreflexivity_gt) ).
fof(f662,plain,
spl41_42,
inference(avatar_split_clause,[],[f301,f659]) ).
fof(f659,plain,
( spl41_42
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_42])]) ).
fof(f301,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_0_tptp_minus_1) ).
fof(f657,plain,
spl41_41,
inference(avatar_split_clause,[],[f300,f654]) ).
fof(f654,plain,
( spl41_41
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_41])]) ).
fof(f300,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_1_0) ).
fof(f652,plain,
spl41_40,
inference(avatar_split_clause,[],[f299,f649]) ).
fof(f649,plain,
( spl41_40
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_40])]) ).
fof(f299,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_4_0) ).
fof(f647,plain,
spl41_39,
inference(avatar_split_clause,[],[f298,f644]) ).
fof(f644,plain,
( spl41_39
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_39])]) ).
fof(f298,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_4_1) ).
fof(f642,plain,
spl41_38,
inference(avatar_split_clause,[],[f297,f639]) ).
fof(f639,plain,
( spl41_38
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_38])]) ).
fof(f297,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_4_2) ).
fof(f637,plain,
spl41_37,
inference(avatar_split_clause,[],[f296,f634]) ).
fof(f634,plain,
( spl41_37
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_37])]) ).
fof(f296,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_4_3) ).
fof(f632,plain,
spl41_36,
inference(avatar_split_clause,[],[f295,f629]) ).
fof(f629,plain,
( spl41_36
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_36])]) ).
fof(f295,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_1_tptp_minus_1) ).
fof(f627,plain,
spl41_35,
inference(avatar_split_clause,[],[f294,f624]) ).
fof(f624,plain,
( spl41_35
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_35])]) ).
fof(f294,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_4_tptp_minus_1) ).
fof(f622,plain,
( spl41_34
| ~ spl41_5
| ~ spl41_4
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f493,f489,f469,f474,f619]) ).
fof(f619,plain,
( spl41_34
<=> init = a_select2(rho_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_34])]) ).
fof(f493,plain,
( ~ leq(sK13,n4)
| init = a_select2(rho_init,sK13)
| ~ spl41_4
| ~ spl41_8 ),
inference(resolution,[],[f490,f471]) ).
fof(f617,plain,
spl41_33,
inference(avatar_split_clause,[],[f293,f614]) ).
fof(f614,plain,
( spl41_33
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_33])]) ).
fof(f293,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_2_0) ).
fof(f612,plain,
spl41_32,
inference(avatar_split_clause,[],[f292,f609]) ).
fof(f609,plain,
( spl41_32
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_32])]) ).
fof(f292,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_2_1) ).
fof(f607,plain,
spl41_31,
inference(avatar_split_clause,[],[f291,f604]) ).
fof(f604,plain,
( spl41_31
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_31])]) ).
fof(f291,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_2_tptp_minus_1) ).
fof(f602,plain,
spl41_30,
inference(avatar_split_clause,[],[f290,f599]) ).
fof(f599,plain,
( spl41_30
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_30])]) ).
fof(f290,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_3_0) ).
fof(f597,plain,
spl41_29,
inference(avatar_split_clause,[],[f289,f594]) ).
fof(f594,plain,
( spl41_29
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_29])]) ).
fof(f289,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_3_1) ).
fof(f592,plain,
spl41_28,
inference(avatar_split_clause,[],[f288,f589]) ).
fof(f589,plain,
( spl41_28
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_28])]) ).
fof(f288,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_3_2) ).
fof(f587,plain,
spl41_27,
inference(avatar_split_clause,[],[f287,f584]) ).
fof(f584,plain,
( spl41_27
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_27])]) ).
fof(f287,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_3_tptp_minus_1) ).
fof(f582,plain,
spl41_26,
inference(avatar_split_clause,[],[f286,f579]) ).
fof(f579,plain,
( spl41_26
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_26])]) ).
fof(f286,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_5_0) ).
fof(f577,plain,
spl41_25,
inference(avatar_split_clause,[],[f285,f574]) ).
fof(f574,plain,
( spl41_25
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_25])]) ).
fof(f285,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_5_1) ).
fof(f572,plain,
spl41_24,
inference(avatar_split_clause,[],[f284,f569]) ).
fof(f569,plain,
( spl41_24
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f284,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_5_4) ).
fof(f567,plain,
spl41_23,
inference(avatar_split_clause,[],[f283,f564]) ).
fof(f564,plain,
( spl41_23
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_23])]) ).
fof(f283,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_5_2) ).
fof(f562,plain,
spl41_22,
inference(avatar_split_clause,[],[f282,f559]) ).
fof(f559,plain,
( spl41_22
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_22])]) ).
fof(f282,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_5_3) ).
fof(f557,plain,
spl41_21,
inference(avatar_split_clause,[],[f281,f554]) ).
fof(f554,plain,
( spl41_21
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_21])]) ).
fof(f281,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_5_tptp_minus_1) ).
fof(f552,plain,
spl41_20,
inference(avatar_split_clause,[],[f280,f549]) ).
fof(f549,plain,
( spl41_20
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_20])]) ).
fof(f280,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135299,n0),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_135299_0) ).
fof(f547,plain,
spl41_19,
inference(avatar_split_clause,[],[f279,f544]) ).
fof(f279,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135299,n4),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_135299_4) ).
fof(f542,plain,
spl41_18,
inference(avatar_split_clause,[],[f278,f539]) ).
fof(f539,plain,
( spl41_18
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_18])]) ).
fof(f278,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135299,n1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_135299_1) ).
fof(f537,plain,
spl41_17,
inference(avatar_split_clause,[],[f277,f534]) ).
fof(f534,plain,
( spl41_17
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f277,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135299,n2),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_135299_2) ).
fof(f532,plain,
spl41_16,
inference(avatar_split_clause,[],[f276,f529]) ).
fof(f529,plain,
( spl41_16
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f276,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135299,n3),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_135299_3) ).
fof(f527,plain,
spl41_15,
inference(avatar_split_clause,[],[f275,f524]) ).
fof(f524,plain,
( spl41_15
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f275,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135299,n5),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_135299_5) ).
fof(f522,plain,
spl41_14,
inference(avatar_split_clause,[],[f274,f519]) ).
fof(f519,plain,
( spl41_14
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f274,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135299,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',gt_135299_tptp_minus_1) ).
fof(f517,plain,
( spl41_13
| ~ spl41_2
| ~ spl41_1
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f492,f489,f454,f459,f514]) ).
fof(f514,plain,
( spl41_13
<=> init = a_select2(rho_init,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f492,plain,
( ~ leq(pv40,n4)
| init = a_select2(rho_init,pv40)
| ~ spl41_1
| ~ spl41_8 ),
inference(resolution,[],[f490,f456]) ).
fof(f512,plain,
~ spl41_12,
inference(avatar_split_clause,[],[f273,f509]) ).
fof(f509,plain,
( spl41_12
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f273,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',defuse) ).
fof(f505,plain,
spl41_11,
inference(avatar_split_clause,[],[f265,f503]) ).
fof(f265,plain,
! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f193]) ).
fof(f501,plain,
spl41_10,
inference(avatar_split_clause,[],[f264,f499]) ).
fof(f499,plain,
( spl41_10
<=> ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f264,plain,
! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) ),
inference(cnf_transformation,[],[f193]) ).
fof(f497,plain,
spl41_9,
inference(avatar_split_clause,[],[f263,f495]) ).
fof(f495,plain,
( spl41_9
<=> ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f263,plain,
! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f193]) ).
fof(f491,plain,
spl41_8,
inference(avatar_split_clause,[],[f262,f489]) ).
fof(f262,plain,
! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f487,plain,
~ spl41_7,
inference(avatar_split_clause,[],[f271,f484]) ).
fof(f271,plain,
init != a_select2(sigmaold_init,sK13),
inference(cnf_transformation,[],[f193]) ).
fof(f482,plain,
spl41_6,
inference(avatar_split_clause,[],[f272,f479]) ).
fof(f479,plain,
( spl41_6
<=> true ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f272,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/tmp/tmp.rLmuTKsfT3/Vampire---4.8_24107',ttrue) ).
fof(f477,plain,
spl41_5,
inference(avatar_split_clause,[],[f270,f474]) ).
fof(f270,plain,
leq(sK13,n4),
inference(cnf_transformation,[],[f193]) ).
fof(f472,plain,
spl41_4,
inference(avatar_split_clause,[],[f269,f469]) ).
fof(f269,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f193]) ).
fof(f467,plain,
spl41_3,
inference(avatar_split_clause,[],[f260,f464]) ).
fof(f260,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f193]) ).
fof(f462,plain,
spl41_2,
inference(avatar_split_clause,[],[f259,f459]) ).
fof(f259,plain,
leq(pv40,n4),
inference(cnf_transformation,[],[f193]) ).
fof(f457,plain,
spl41_1,
inference(avatar_split_clause,[],[f258,f454]) ).
fof(f258,plain,
leq(n0,pv40),
inference(cnf_transformation,[],[f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : SWV178+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.37 % Computer : n022.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Aug 30 17:37:23 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.19/0.43 % (24214)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.44 % (24216)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.44 % (24218)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.44 % (24219)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)
% 0.19/0.44 % (24217)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)
% 0.19/0.44 % (24221)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)
% 0.19/0.44 % (24220)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)
% 0.19/0.44 % (24215)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.86/0.53 % (24219)First to succeed.
% 0.86/0.55 % (24219)Refutation found. Thanks to Tanya!
% 0.86/0.55 % SZS status Theorem for Vampire---4
% 0.86/0.55 % SZS output start Proof for Vampire---4
% See solution above
% 0.89/0.56 % (24219)------------------------------
% 0.89/0.56 % (24219)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.89/0.56 % (24219)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.89/0.56 % (24219)Termination reason: Refutation
% 0.89/0.56
% 0.89/0.56 % (24219)Memory used [KB]: 8955
% 0.89/0.56 % (24219)Time elapsed: 0.115 s
% 0.89/0.56 % (24219)------------------------------
% 0.89/0.56 % (24219)------------------------------
% 0.89/0.56 % (24214)Success in time 0.181 s
% 0.89/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------