TSTP Solution File: SWV170+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV170+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 06:13:34 EDT 2024
% Result : Theorem 0.23s 0.52s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 396
% Syntax : Number of formulae : 1244 ( 332 unt; 0 def)
% Number of atoms : 4391 ( 832 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 4958 (1811 ~;1983 |; 736 &)
% ( 282 <=>; 146 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 296 ( 294 usr; 280 prp; 0-4 aty)
% Number of functors : 70 ( 70 usr; 25 con; 0-4 aty)
% Number of variables : 2116 (1959 !; 157 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3506,plain,
$false,
inference(avatar_sat_refutation,[],[f484,f489,f494,f499,f504,f509,f514,f519,f524,f529,f533,f537,f541,f557,f566,f571,f576,f581,f586,f591,f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f655,f660,f665,f670,f675,f680,f685,f690,f695,f700,f705,f710,f715,f719,f723,f728,f733,f741,f750,f759,f768,f778,f783,f787,f792,f797,f802,f807,f812,f822,f828,f852,f857,f861,f902,f906,f910,f923,f936,f942,f947,f952,f957,f961,f966,f970,f976,f980,f984,f989,f993,f998,f1002,f1007,f1011,f1015,f1020,f1025,f1029,f1034,f1038,f1043,f1047,f1052,f1056,f1061,f1065,f1070,f1075,f1079,f1084,f1088,f1093,f1097,f1102,f1106,f1111,f1115,f1120,f1125,f1129,f1134,f1138,f1143,f1147,f1152,f1156,f1161,f1165,f1170,f1174,f1179,f1183,f1188,f1192,f1196,f1200,f1204,f1208,f1212,f1216,f1220,f1224,f1228,f1232,f1236,f1240,f1244,f1248,f1252,f1256,f1260,f1264,f1268,f1272,f1276,f1280,f1284,f1288,f1292,f1296,f1301,f1305,f1309,f1313,f1317,f1321,f1325,f1442,f1450,f1454,f1461,f1465,f1469,f1473,f1477,f1481,f1485,f1489,f1493,f1715,f1821,f1825,f1829,f1897,f1902,f1933,f1938,f1970,f1974,f2046,f2052,f2057,f2062,f2066,f2070,f2074,f2078,f2093,f2137,f2143,f2149,f2153,f2268,f2274,f2280,f2318,f2322,f2326,f2330,f2334,f2338,f2342,f2346,f2350,f2354,f2360,f2365,f2369,f2373,f2382,f2386,f2390,f2396,f2468,f2474,f2512,f2517,f2522,f2528,f2566,f2645,f2651,f2662,f2666,f2670,f2742,f2748,f2786,f2792,f2798,f2804,f2876,f2882,f2888,f2892,f2964,f2971,f3009,f3015,f3058,f3077,f3096,f3115,f3130,f3134,f3139,f3144,f3150,f3154,f3159,f3164,f3169,f3174,f3183,f3220,f3254,f3257,f3264,f3443,f3448,f3456,f3465,f3472,f3477,f3483,f3488,f3494,f3499,f3504,f3505]) ).
fof(f3505,plain,
( ~ spl41_9
| spl41_10
| ~ spl41_8
| ~ spl41_50 ),
inference(avatar_split_clause,[],[f745,f739,f516,f526,f521]) ).
fof(f521,plain,
( spl41_9
<=> leq(sK13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f526,plain,
( spl41_10
<=> init = a_select2(muold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f516,plain,
( spl41_8
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f739,plain,
( spl41_50
<=> ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_50])]) ).
fof(f745,plain,
( init = a_select2(muold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_8
| ~ spl41_50 ),
inference(resolution,[],[f740,f518]) ).
fof(f518,plain,
( leq(n0,sK13)
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f740,plain,
( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(muold_init,X3)
| ~ leq(X3,n4) )
| ~ spl41_50 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f3504,plain,
( ~ spl41_6
| spl41_279
| ~ spl41_3
| ~ spl41_50 ),
inference(avatar_split_clause,[],[f744,f739,f491,f3501,f506]) ).
fof(f506,plain,
( spl41_6
<=> leq(pv54,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f3501,plain,
( spl41_279
<=> init = a_select2(muold_init,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_279])]) ).
fof(f491,plain,
( spl41_3
<=> leq(n0,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f744,plain,
( init = a_select2(muold_init,pv54)
| ~ leq(pv54,n4)
| ~ spl41_3
| ~ spl41_50 ),
inference(resolution,[],[f740,f493]) ).
fof(f493,plain,
( leq(n0,pv54)
| ~ spl41_3 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f3499,plain,
( ~ spl41_5
| spl41_278
| ~ spl41_2
| ~ spl41_50 ),
inference(avatar_split_clause,[],[f743,f739,f486,f3496,f501]) ).
fof(f501,plain,
( spl41_5
<=> leq(pv52,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f3496,plain,
( spl41_278
<=> init = a_select2(muold_init,pv52) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_278])]) ).
fof(f486,plain,
( spl41_2
<=> leq(n0,pv52) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f743,plain,
( init = a_select2(muold_init,pv52)
| ~ leq(pv52,n4)
| ~ spl41_2
| ~ spl41_50 ),
inference(resolution,[],[f740,f488]) ).
fof(f488,plain,
( leq(n0,pv52)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f3494,plain,
( ~ spl41_277
| ~ spl41_63
| spl41_276 ),
inference(avatar_split_clause,[],[f3489,f3485,f825,f3491]) ).
fof(f3491,plain,
( spl41_277
<=> init = a_select2(rho_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_277])]) ).
fof(f825,plain,
( spl41_63
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_63])]) ).
fof(f3485,plain,
( spl41_276
<=> init = a_select2(rho_init,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_276])]) ).
fof(f3489,plain,
( init != a_select2(rho_init,tptp_float_0_0)
| ~ spl41_63
| spl41_276 ),
inference(forward_demodulation,[],[f3486,f827]) ).
fof(f827,plain,
( n0 = tptp_float_0_0
| ~ spl41_63 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f3486,plain,
( init != a_select2(rho_init,n0)
| spl41_276 ),
inference(avatar_component_clause,[],[f3485]) ).
fof(f3488,plain,
( spl41_276
| ~ spl41_272
| ~ spl41_11
| ~ spl41_47 ),
inference(avatar_split_clause,[],[f737,f721,f531,f3462,f3485]) ).
fof(f3462,plain,
( spl41_272
<=> leq(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_272])]) ).
fof(f531,plain,
( spl41_11
<=> ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f721,plain,
( spl41_47
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_47])]) ).
fof(f737,plain,
( ~ leq(n0,n4)
| init = a_select2(rho_init,n0)
| ~ spl41_11
| ~ spl41_47 ),
inference(resolution,[],[f722,f532]) ).
fof(f532,plain,
( ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,n4)
| init = a_select2(rho_init,X7) )
| ~ spl41_11 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f722,plain,
( ! [X0] : leq(X0,X0)
| ~ spl41_47 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f3483,plain,
( ~ spl41_275
| ~ spl41_63
| spl41_274 ),
inference(avatar_split_clause,[],[f3478,f3474,f825,f3480]) ).
fof(f3480,plain,
( spl41_275
<=> init = a_select2(mu_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_275])]) ).
fof(f3474,plain,
( spl41_274
<=> init = a_select2(mu_init,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_274])]) ).
fof(f3478,plain,
( init != a_select2(mu_init,tptp_float_0_0)
| ~ spl41_63
| spl41_274 ),
inference(forward_demodulation,[],[f3475,f827]) ).
fof(f3475,plain,
( init != a_select2(mu_init,n0)
| spl41_274 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f3477,plain,
( spl41_274
| ~ spl41_272
| ~ spl41_12
| ~ spl41_47 ),
inference(avatar_split_clause,[],[f736,f721,f535,f3462,f3474]) ).
fof(f535,plain,
( spl41_12
<=> ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f736,plain,
( ~ leq(n0,n4)
| init = a_select2(mu_init,n0)
| ~ spl41_12
| ~ spl41_47 ),
inference(resolution,[],[f722,f536]) ).
fof(f536,plain,
( ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(mu_init,X6) )
| ~ spl41_12 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f3472,plain,
( ~ spl41_273
| ~ spl41_63
| spl41_271 ),
inference(avatar_split_clause,[],[f3467,f3458,f825,f3469]) ).
fof(f3469,plain,
( spl41_273
<=> init = a_select2(sigma_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_273])]) ).
fof(f3458,plain,
( spl41_271
<=> init = a_select2(sigma_init,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_271])]) ).
fof(f3467,plain,
( init != a_select2(sigma_init,tptp_float_0_0)
| ~ spl41_63
| spl41_271 ),
inference(forward_demodulation,[],[f3459,f827]) ).
fof(f3459,plain,
( init != a_select2(sigma_init,n0)
| spl41_271 ),
inference(avatar_component_clause,[],[f3458]) ).
fof(f3465,plain,
( spl41_271
| ~ spl41_272
| ~ spl41_13
| ~ spl41_47 ),
inference(avatar_split_clause,[],[f735,f721,f539,f3462,f3458]) ).
fof(f539,plain,
( spl41_13
<=> ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f735,plain,
( ~ leq(n0,n4)
| init = a_select2(sigma_init,n0)
| ~ spl41_13
| ~ spl41_47 ),
inference(resolution,[],[f722,f540]) ).
fof(f540,plain,
( ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n4)
| init = a_select2(sigma_init,X5) )
| ~ spl41_13 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f3456,plain,
( spl41_270
| ~ spl41_9
| ~ spl41_8
| ~ spl41_13 ),
inference(avatar_split_clause,[],[f553,f539,f516,f521,f3453]) ).
fof(f3453,plain,
( spl41_270
<=> init = a_select2(sigma_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_270])]) ).
fof(f553,plain,
( ~ leq(sK13,n4)
| init = a_select2(sigma_init,sK13)
| ~ spl41_8
| ~ spl41_13 ),
inference(resolution,[],[f540,f518]) ).
fof(f3448,plain,
( spl41_269
| ~ spl41_6
| ~ spl41_3
| ~ spl41_13 ),
inference(avatar_split_clause,[],[f552,f539,f491,f506,f3445]) ).
fof(f3445,plain,
( spl41_269
<=> init = a_select2(sigma_init,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_269])]) ).
fof(f552,plain,
( ~ leq(pv54,n4)
| init = a_select2(sigma_init,pv54)
| ~ spl41_3
| ~ spl41_13 ),
inference(resolution,[],[f540,f493]) ).
fof(f3443,plain,
( spl41_268
| ~ spl41_5
| ~ spl41_2
| ~ spl41_13 ),
inference(avatar_split_clause,[],[f551,f539,f486,f501,f3440]) ).
fof(f3440,plain,
( spl41_268
<=> init = a_select2(sigma_init,pv52) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_268])]) ).
fof(f551,plain,
( ~ leq(pv52,n4)
| init = a_select2(sigma_init,pv52)
| ~ spl41_2
| ~ spl41_13 ),
inference(resolution,[],[f540,f488]) ).
fof(f3264,plain,
( spl41_267
| ~ spl41_56
| ~ spl41_255 ),
inference(avatar_split_clause,[],[f3178,f3128,f785,f3261]) ).
fof(f3261,plain,
( spl41_267
<=> gt(plus(loopcounter,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_267])]) ).
fof(f785,plain,
( spl41_56
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_56])]) ).
fof(f3128,plain,
( spl41_255
<=> ! [X0] :
( gt(X0,n1)
| ~ gt(X0,loopcounter) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_255])]) ).
fof(f3178,plain,
( gt(plus(loopcounter,n1),n1)
| ~ spl41_56
| ~ spl41_255 ),
inference(resolution,[],[f3129,f786]) ).
fof(f786,plain,
( ! [X0] : gt(plus(X0,n1),X0)
| ~ spl41_56 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f3129,plain,
( ! [X0] :
( ~ gt(X0,loopcounter)
| gt(X0,n1) )
| ~ spl41_255 ),
inference(avatar_component_clause,[],[f3128]) ).
fof(f3257,plain,
( spl41_266
| ~ spl41_251
| ~ spl41_258 ),
inference(avatar_split_clause,[],[f3145,f3142,f3089,f3218]) ).
fof(f3218,plain,
( spl41_266
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_266])]) ).
fof(f3089,plain,
( spl41_251
<=> tptp_float_0_0 = pv54 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_251])]) ).
fof(f3142,plain,
( spl41_258
<=> ! [X0] :
( leq(X0,n4)
| ~ leq(X0,pv54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_258])]) ).
fof(f3145,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n4) )
| ~ spl41_251
| ~ spl41_258 ),
inference(forward_demodulation,[],[f3143,f3091]) ).
fof(f3091,plain,
( tptp_float_0_0 = pv54
| ~ spl41_251 ),
inference(avatar_component_clause,[],[f3089]) ).
fof(f3143,plain,
( ! [X0] :
( ~ leq(X0,pv54)
| leq(X0,n4) )
| ~ spl41_258 ),
inference(avatar_component_clause,[],[f3142]) ).
fof(f3254,plain,
( spl41_266
| ~ spl41_253
| ~ spl41_260 ),
inference(avatar_split_clause,[],[f3155,f3152,f3108,f3218]) ).
fof(f3108,plain,
( spl41_253
<=> tptp_float_0_0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_253])]) ).
fof(f3152,plain,
( spl41_260
<=> ! [X0] :
( leq(X0,n4)
| ~ leq(X0,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_260])]) ).
fof(f3155,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n4) )
| ~ spl41_253
| ~ spl41_260 ),
inference(forward_demodulation,[],[f3153,f3110]) ).
fof(f3110,plain,
( tptp_float_0_0 = sK13
| ~ spl41_253 ),
inference(avatar_component_clause,[],[f3108]) ).
fof(f3153,plain,
( ! [X0] :
( ~ leq(X0,sK13)
| leq(X0,n4) )
| ~ spl41_260 ),
inference(avatar_component_clause,[],[f3152]) ).
fof(f3220,plain,
( spl41_266
| ~ spl41_249
| ~ spl41_257 ),
inference(avatar_split_clause,[],[f3140,f3137,f3070,f3218]) ).
fof(f3070,plain,
( spl41_249
<=> tptp_float_0_0 = pv52 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_249])]) ).
fof(f3137,plain,
( spl41_257
<=> ! [X0] :
( leq(X0,n4)
| ~ leq(X0,pv52) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_257])]) ).
fof(f3140,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n4) )
| ~ spl41_249
| ~ spl41_257 ),
inference(forward_demodulation,[],[f3138,f3072]) ).
fof(f3072,plain,
( tptp_float_0_0 = pv52
| ~ spl41_249 ),
inference(avatar_component_clause,[],[f3070]) ).
fof(f3138,plain,
( ! [X0] :
( ~ leq(X0,pv52)
| leq(X0,n4) )
| ~ spl41_257 ),
inference(avatar_component_clause,[],[f3137]) ).
fof(f3183,plain,
( spl41_265
| ~ spl41_247
| ~ spl41_256 ),
inference(avatar_split_clause,[],[f3135,f3132,f3051,f3181]) ).
fof(f3181,plain,
( spl41_265
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n135299) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_265])]) ).
fof(f3051,plain,
( spl41_247
<=> tptp_float_0_0 = pv10 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_247])]) ).
fof(f3132,plain,
( spl41_256
<=> ! [X0] :
( leq(X0,n135299)
| ~ leq(X0,pv10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_256])]) ).
fof(f3135,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n135299) )
| ~ spl41_247
| ~ spl41_256 ),
inference(forward_demodulation,[],[f3133,f3053]) ).
fof(f3053,plain,
( tptp_float_0_0 = pv10
| ~ spl41_247 ),
inference(avatar_component_clause,[],[f3051]) ).
fof(f3133,plain,
( ! [X0] :
( ~ leq(X0,pv10)
| leq(X0,n135299) )
| ~ spl41_256 ),
inference(avatar_component_clause,[],[f3132]) ).
fof(f3174,plain,
( spl41_264
| ~ spl41_8
| ~ spl41_63
| ~ spl41_167 ),
inference(avatar_split_clause,[],[f1684,f1471,f825,f516,f3172]) ).
fof(f3172,plain,
( spl41_264
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_264])]) ).
fof(f1471,plain,
( spl41_167
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_167])]) ).
fof(f1684,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,sK13) )
| ~ spl41_8
| ~ spl41_63
| ~ spl41_167 ),
inference(forward_demodulation,[],[f1621,f827]) ).
fof(f1621,plain,
( ! [X0] :
( leq(X0,sK13)
| ~ leq(X0,n0) )
| ~ spl41_8
| ~ spl41_167 ),
inference(resolution,[],[f1472,f518]) ).
fof(f1472,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl41_167 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f3169,plain,
( spl41_263
| ~ spl41_3
| ~ spl41_63
| ~ spl41_167 ),
inference(avatar_split_clause,[],[f1683,f1471,f825,f491,f3167]) ).
fof(f3167,plain,
( spl41_263
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,pv54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_263])]) ).
fof(f1683,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,pv54) )
| ~ spl41_3
| ~ spl41_63
| ~ spl41_167 ),
inference(forward_demodulation,[],[f1620,f827]) ).
fof(f1620,plain,
( ! [X0] :
( leq(X0,pv54)
| ~ leq(X0,n0) )
| ~ spl41_3
| ~ spl41_167 ),
inference(resolution,[],[f1472,f493]) ).
fof(f3164,plain,
( spl41_262
| ~ spl41_2
| ~ spl41_63
| ~ spl41_167 ),
inference(avatar_split_clause,[],[f1682,f1471,f825,f486,f3162]) ).
fof(f3162,plain,
( spl41_262
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,pv52) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_262])]) ).
fof(f1682,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,pv52) )
| ~ spl41_2
| ~ spl41_63
| ~ spl41_167 ),
inference(forward_demodulation,[],[f1619,f827]) ).
fof(f1619,plain,
( ! [X0] :
( leq(X0,pv52)
| ~ leq(X0,n0) )
| ~ spl41_2
| ~ spl41_167 ),
inference(resolution,[],[f1472,f488]) ).
fof(f3159,plain,
( spl41_261
| ~ spl41_1
| ~ spl41_63
| ~ spl41_167 ),
inference(avatar_split_clause,[],[f1681,f1471,f825,f481,f3157]) ).
fof(f3157,plain,
( spl41_261
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,pv10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_261])]) ).
fof(f481,plain,
( spl41_1
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f1681,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,pv10) )
| ~ spl41_1
| ~ spl41_63
| ~ spl41_167 ),
inference(forward_demodulation,[],[f1618,f827]) ).
fof(f1618,plain,
( ! [X0] :
( leq(X0,pv10)
| ~ leq(X0,n0) )
| ~ spl41_1
| ~ spl41_167 ),
inference(resolution,[],[f1472,f483]) ).
fof(f483,plain,
( leq(n0,pv10)
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f3154,plain,
( spl41_260
| ~ spl41_9
| ~ spl41_167 ),
inference(avatar_split_clause,[],[f1656,f1471,f521,f3152]) ).
fof(f1656,plain,
( ! [X0] :
( leq(X0,n4)
| ~ leq(X0,sK13) )
| ~ spl41_9
| ~ spl41_167 ),
inference(resolution,[],[f1472,f523]) ).
fof(f523,plain,
( leq(sK13,n4)
| ~ spl41_9 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f3150,plain,
( ~ spl41_259
| spl41_22
| ~ spl41_247 ),
inference(avatar_split_clause,[],[f3062,f3051,f597,f3147]) ).
fof(f3147,plain,
( spl41_259
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_259])]) ).
fof(f597,plain,
( spl41_22
<=> leq(pv10,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_22])]) ).
fof(f3062,plain,
( ~ leq(tptp_float_0_0,n4)
| spl41_22
| ~ spl41_247 ),
inference(superposition,[],[f599,f3053]) ).
fof(f599,plain,
( ~ leq(pv10,n4)
| spl41_22 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f3144,plain,
( spl41_258
| ~ spl41_6
| ~ spl41_167 ),
inference(avatar_split_clause,[],[f1655,f1471,f506,f3142]) ).
fof(f1655,plain,
( ! [X0] :
( leq(X0,n4)
| ~ leq(X0,pv54) )
| ~ spl41_6
| ~ spl41_167 ),
inference(resolution,[],[f1472,f508]) ).
fof(f508,plain,
( leq(pv54,n4)
| ~ spl41_6 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f3139,plain,
( spl41_257
| ~ spl41_5
| ~ spl41_167 ),
inference(avatar_split_clause,[],[f1654,f1471,f501,f3137]) ).
fof(f1654,plain,
( ! [X0] :
( leq(X0,n4)
| ~ leq(X0,pv52) )
| ~ spl41_5
| ~ spl41_167 ),
inference(resolution,[],[f1472,f503]) ).
fof(f503,plain,
( leq(pv52,n4)
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f3134,plain,
( spl41_256
| ~ spl41_4
| ~ spl41_167 ),
inference(avatar_split_clause,[],[f1653,f1471,f496,f3132]) ).
fof(f496,plain,
( spl41_4
<=> leq(pv10,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f1653,plain,
( ! [X0] :
( leq(X0,n135299)
| ~ leq(X0,pv10) )
| ~ spl41_4
| ~ spl41_167 ),
inference(resolution,[],[f1472,f498]) ).
fof(f498,plain,
( leq(pv10,n135299)
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f3130,plain,
( spl41_255
| ~ spl41_7
| ~ spl41_166 ),
inference(avatar_split_clause,[],[f1607,f1467,f511,f3128]) ).
fof(f511,plain,
( spl41_7
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f1467,plain,
( spl41_166
<=> ! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_166])]) ).
fof(f1607,plain,
( ! [X0] :
( gt(X0,n1)
| ~ gt(X0,loopcounter) )
| ~ spl41_7
| ~ spl41_166 ),
inference(resolution,[],[f1468,f513]) ).
fof(f513,plain,
( gt(loopcounter,n1)
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f1468,plain,
( ! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) )
| ~ spl41_166 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f3115,plain,
( spl41_253
| spl41_254
| ~ spl41_8
| ~ spl41_63
| ~ spl41_165 ),
inference(avatar_split_clause,[],[f1574,f1463,f825,f516,f3112,f3108]) ).
fof(f3112,plain,
( spl41_254
<=> gt(sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_254])]) ).
fof(f1463,plain,
( spl41_165
<=> ! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_165])]) ).
fof(f1574,plain,
( gt(sK13,tptp_float_0_0)
| tptp_float_0_0 = sK13
| ~ spl41_8
| ~ spl41_63
| ~ spl41_165 ),
inference(forward_demodulation,[],[f1573,f827]) ).
fof(f1573,plain,
( tptp_float_0_0 = sK13
| gt(sK13,n0)
| ~ spl41_8
| ~ spl41_63
| ~ spl41_165 ),
inference(forward_demodulation,[],[f1507,f827]) ).
fof(f1507,plain,
( n0 = sK13
| gt(sK13,n0)
| ~ spl41_8
| ~ spl41_165 ),
inference(resolution,[],[f1464,f518]) ).
fof(f1464,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) )
| ~ spl41_165 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f3096,plain,
( spl41_251
| spl41_252
| ~ spl41_3
| ~ spl41_63
| ~ spl41_165 ),
inference(avatar_split_clause,[],[f1572,f1463,f825,f491,f3093,f3089]) ).
fof(f3093,plain,
( spl41_252
<=> gt(pv54,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_252])]) ).
fof(f1572,plain,
( gt(pv54,tptp_float_0_0)
| tptp_float_0_0 = pv54
| ~ spl41_3
| ~ spl41_63
| ~ spl41_165 ),
inference(forward_demodulation,[],[f1571,f827]) ).
fof(f1571,plain,
( tptp_float_0_0 = pv54
| gt(pv54,n0)
| ~ spl41_3
| ~ spl41_63
| ~ spl41_165 ),
inference(forward_demodulation,[],[f1506,f827]) ).
fof(f1506,plain,
( n0 = pv54
| gt(pv54,n0)
| ~ spl41_3
| ~ spl41_165 ),
inference(resolution,[],[f1464,f493]) ).
fof(f3077,plain,
( spl41_249
| spl41_250
| ~ spl41_2
| ~ spl41_63
| ~ spl41_165 ),
inference(avatar_split_clause,[],[f1570,f1463,f825,f486,f3074,f3070]) ).
fof(f3074,plain,
( spl41_250
<=> gt(pv52,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_250])]) ).
fof(f1570,plain,
( gt(pv52,tptp_float_0_0)
| tptp_float_0_0 = pv52
| ~ spl41_2
| ~ spl41_63
| ~ spl41_165 ),
inference(forward_demodulation,[],[f1569,f827]) ).
fof(f1569,plain,
( tptp_float_0_0 = pv52
| gt(pv52,n0)
| ~ spl41_2
| ~ spl41_63
| ~ spl41_165 ),
inference(forward_demodulation,[],[f1505,f827]) ).
fof(f1505,plain,
( n0 = pv52
| gt(pv52,n0)
| ~ spl41_2
| ~ spl41_165 ),
inference(resolution,[],[f1464,f488]) ).
fof(f3058,plain,
( spl41_247
| spl41_248
| ~ spl41_1
| ~ spl41_63
| ~ spl41_165 ),
inference(avatar_split_clause,[],[f1568,f1463,f825,f481,f3055,f3051]) ).
fof(f3055,plain,
( spl41_248
<=> gt(pv10,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_248])]) ).
fof(f1568,plain,
( gt(pv10,tptp_float_0_0)
| tptp_float_0_0 = pv10
| ~ spl41_1
| ~ spl41_63
| ~ spl41_165 ),
inference(forward_demodulation,[],[f1567,f827]) ).
fof(f1567,plain,
( tptp_float_0_0 = pv10
| gt(pv10,n0)
| ~ spl41_1
| ~ spl41_63
| ~ spl41_165 ),
inference(forward_demodulation,[],[f1504,f827]) ).
fof(f1504,plain,
( n0 = pv10
| gt(pv10,n0)
| ~ spl41_1
| ~ spl41_165 ),
inference(resolution,[],[f1464,f483]) ).
fof(f3015,plain,
( spl41_246
| ~ spl41_63
| ~ spl41_245 ),
inference(avatar_split_clause,[],[f3011,f3007,f825,f3013]) ).
fof(f3013,plain,
( spl41_246
<=> ! [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_246])]) ).
fof(f3007,plain,
( spl41_245
<=> ! [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_245])]) ).
fof(f3011,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_245 ),
inference(forward_demodulation,[],[f3010,f827]) ).
fof(f3010,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_245 ),
inference(forward_demodulation,[],[f3008,f827]) ).
fof(f3008,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_245 ),
inference(avatar_component_clause,[],[f3007]) ).
fof(f3009,plain,
spl41_245,
inference(avatar_split_clause,[],[f432,f3007]) ).
fof(f432,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,[],[f256]) ).
fof(f256,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,[],[f191]) ).
fof(f191,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,[],[f169,f190,f189,f188]) ).
fof(f188,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(f189,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(f190,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(f169,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,[],[f168]) ).
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(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/sandbox/benchmark/theBenchmark.p',matrix_symm_joseph_update) ).
fof(f2971,plain,
( spl41_244
| ~ spl41_63
| ~ spl41_243 ),
inference(avatar_split_clause,[],[f2967,f2962,f825,f2969]) ).
fof(f2969,plain,
( spl41_244
<=> ! [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_244])]) ).
fof(f2962,plain,
( spl41_243
<=> ! [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_243])]) ).
fof(f2967,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_243 ),
inference(forward_demodulation,[],[f2966,f827]) ).
fof(f2966,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_243 ),
inference(forward_demodulation,[],[f2965,f827]) ).
fof(f2965,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_243 ),
inference(forward_demodulation,[],[f2963,f827]) ).
fof(f2963,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_243 ),
inference(avatar_component_clause,[],[f2962]) ).
fof(f2964,plain,
spl41_243,
inference(avatar_split_clause,[],[f359,f2962]) ).
fof(f359,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,[],[f206]) ).
fof(f206,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,[],[f175]) ).
fof(f175,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,[],[f143,f174]) ).
fof(f174,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(f143,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,[],[f142]) ).
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(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/sandbox/benchmark/theBenchmark.p',matrix_symm_update_diagonal) ).
fof(f2892,plain,
( spl41_242
| ~ spl41_63
| ~ spl41_240 ),
inference(avatar_split_clause,[],[f2884,f2880,f825,f2890]) ).
fof(f2890,plain,
( spl41_242
<=> ! [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_242])]) ).
fof(f2880,plain,
( spl41_240
<=> ! [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_240])]) ).
fof(f2884,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_240 ),
inference(forward_demodulation,[],[f2883,f827]) ).
fof(f2883,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_240 ),
inference(forward_demodulation,[],[f2881,f827]) ).
fof(f2881,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_240 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f2888,plain,
( spl41_241
| ~ spl41_63
| ~ spl41_239 ),
inference(avatar_split_clause,[],[f2878,f2874,f825,f2886]) ).
fof(f2886,plain,
( spl41_241
<=> ! [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_241])]) ).
fof(f2874,plain,
( spl41_239
<=> ! [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_239])]) ).
fof(f2878,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_239 ),
inference(forward_demodulation,[],[f2877,f827]) ).
fof(f2877,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_239 ),
inference(forward_demodulation,[],[f2875,f827]) ).
fof(f2875,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_239 ),
inference(avatar_component_clause,[],[f2874]) ).
fof(f2882,plain,
spl41_240,
inference(avatar_split_clause,[],[f407,f2880]) ).
fof(f407,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,[],[f239]) ).
fof(f239,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,[],[f185]) ).
fof(f185,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,[],[f159,f184]) ).
fof(f184,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(f159,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,[],[f158]) ).
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(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/sandbox/benchmark/theBenchmark.p',matrix_symm_aba2) ).
fof(f2876,plain,
spl41_239,
inference(avatar_split_clause,[],[f396,f2874]) ).
fof(f396,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,[],[f232]) ).
fof(f232,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,[],[f183]) ).
fof(f183,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,[],[f153,f182]) ).
fof(f182,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(f153,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,[],[f152]) ).
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(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/sandbox/benchmark/theBenchmark.p',matrix_symm_aba1) ).
fof(f2804,plain,
( spl41_238
| ~ spl41_63
| ~ spl41_236 ),
inference(avatar_split_clause,[],[f2794,f2790,f825,f2802]) ).
fof(f2802,plain,
( spl41_238
<=> ! [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_238])]) ).
fof(f2790,plain,
( spl41_236
<=> ! [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_236])]) ).
fof(f2794,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_236 ),
inference(forward_demodulation,[],[f2793,f827]) ).
fof(f2793,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_236 ),
inference(forward_demodulation,[],[f2791,f827]) ).
fof(f2791,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_236 ),
inference(avatar_component_clause,[],[f2790]) ).
fof(f2798,plain,
( spl41_237
| ~ spl41_63
| ~ spl41_235 ),
inference(avatar_split_clause,[],[f2788,f2784,f825,f2796]) ).
fof(f2796,plain,
( spl41_237
<=> ! [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_237])]) ).
fof(f2784,plain,
( spl41_235
<=> ! [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_235])]) ).
fof(f2788,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_235 ),
inference(forward_demodulation,[],[f2787,f827]) ).
fof(f2787,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_235 ),
inference(forward_demodulation,[],[f2785,f827]) ).
fof(f2785,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_235 ),
inference(avatar_component_clause,[],[f2784]) ).
fof(f2792,plain,
spl41_236,
inference(avatar_split_clause,[],[f390,f2790]) ).
fof(f390,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,[],[f227]) ).
fof(f227,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,[],[f181]) ).
fof(f181,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,[],[f151,f180,f179]) ).
fof(f179,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(f180,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(f151,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,[],[f150]) ).
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(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/sandbox/benchmark/theBenchmark.p',matrix_symm_add) ).
fof(f2786,plain,
spl41_235,
inference(avatar_split_clause,[],[f379,f2784]) ).
fof(f379,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,[],[f218]) ).
fof(f218,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,[],[f178]) ).
fof(f178,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,[],[f149,f177,f176]) ).
fof(f176,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(f177,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(f149,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,[],[f148]) ).
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(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/sandbox/benchmark/theBenchmark.p',matrix_symm_sub) ).
fof(f2748,plain,
( spl41_234
| ~ spl41_63
| ~ spl41_233 ),
inference(avatar_split_clause,[],[f2744,f2740,f825,f2746]) ).
fof(f2746,plain,
( spl41_234
<=> ! [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_234])]) ).
fof(f2740,plain,
( spl41_233
<=> ! [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_233])]) ).
fof(f2744,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_233 ),
inference(forward_demodulation,[],[f2743,f827]) ).
fof(f2743,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_233 ),
inference(forward_demodulation,[],[f2741,f827]) ).
fof(f2741,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_233 ),
inference(avatar_component_clause,[],[f2740]) ).
fof(f2742,plain,
spl41_233,
inference(avatar_split_clause,[],[f414,f2740]) ).
fof(f414,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,[],[f187]) ).
fof(f187,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,[],[f163,f186]) ).
fof(f186,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(f163,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,[],[f162]) ).
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(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/sandbox/benchmark/theBenchmark.p',sel3_update_3) ).
fof(f2670,plain,
( spl41_232
| ~ spl41_63
| ~ spl41_228 ),
inference(avatar_split_clause,[],[f2653,f2649,f825,f2668]) ).
fof(f2668,plain,
( spl41_232
<=> ! [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_232])]) ).
fof(f2649,plain,
( spl41_228
<=> ! [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_228])]) ).
fof(f2653,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_228 ),
inference(forward_demodulation,[],[f2652,f827]) ).
fof(f2652,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_228 ),
inference(forward_demodulation,[],[f2650,f827]) ).
fof(f2650,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_228 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f2666,plain,
( spl41_231
| ~ spl41_63
| ~ spl41_227 ),
inference(avatar_split_clause,[],[f2647,f2643,f825,f2664]) ).
fof(f2664,plain,
( spl41_231
<=> ! [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_231])]) ).
fof(f2643,plain,
( spl41_227
<=> ! [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_227])]) ).
fof(f2647,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_227 ),
inference(forward_demodulation,[],[f2646,f827]) ).
fof(f2646,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_227 ),
inference(forward_demodulation,[],[f2644,f827]) ).
fof(f2644,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_227 ),
inference(avatar_component_clause,[],[f2643]) ).
fof(f2662,plain,
( spl41_229
| spl41_230
| ~ spl41_9
| ~ spl41_165 ),
inference(avatar_split_clause,[],[f1542,f1463,f521,f2659,f2655]) ).
fof(f2655,plain,
( spl41_229
<=> gt(n4,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_229])]) ).
fof(f2659,plain,
( spl41_230
<=> n4 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_230])]) ).
fof(f1542,plain,
( n4 = sK13
| gt(n4,sK13)
| ~ spl41_9
| ~ spl41_165 ),
inference(resolution,[],[f1464,f523]) ).
fof(f2651,plain,
spl41_228,
inference(avatar_split_clause,[],[f353,f2649]) ).
fof(f353,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,[],[f202]) ).
fof(f202,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,[],[f173]) ).
fof(f173,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,[],[f141,f172]) ).
fof(f172,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(f141,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,[],[f140]) ).
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(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/sandbox/benchmark/theBenchmark.p',matrix_symm_trans) ).
fof(f2645,plain,
spl41_227,
inference(avatar_split_clause,[],[f347,f2643]) ).
fof(f347,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,[],[f198]) ).
fof(f198,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,[],[f171]) ).
fof(f171,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,[],[f139,f170]) ).
fof(f170,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(f139,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,[],[f138]) ).
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(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/sandbox/benchmark/theBenchmark.p',matrix_symm_inv) ).
fof(f2566,plain,
spl41_226,
inference(avatar_split_clause,[],[f416,f2564]) ).
fof(f2564,plain,
( spl41_226
<=> ! [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_226])]) ).
fof(f416,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,[],[f167]) ).
fof(f167,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,[],[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(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/sandbox/benchmark/theBenchmark.p',const_array2_select) ).
fof(f2528,plain,
( spl41_225
| ~ spl41_63
| ~ spl41_224 ),
inference(avatar_split_clause,[],[f2524,f2520,f825,f2526]) ).
fof(f2526,plain,
( spl41_225
<=> ! [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_225])]) ).
fof(f2520,plain,
( spl41_224
<=> ! [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_224])]) ).
fof(f2524,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_224 ),
inference(forward_demodulation,[],[f2523,f827]) ).
fof(f2523,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_224 ),
inference(forward_demodulation,[],[f2521,f827]) ).
fof(f2521,plain,
( ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl41_224 ),
inference(avatar_component_clause,[],[f2520]) ).
fof(f2522,plain,
spl41_224,
inference(avatar_split_clause,[],[f328,f2520]) ).
fof(f328,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(flattening,[],[f118]) ).
fof(f118,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/sandbox/benchmark/theBenchmark.p',finite_domain_5) ).
fof(f2517,plain,
( spl41_223
| ~ spl41_63
| ~ spl41_222 ),
inference(avatar_split_clause,[],[f2513,f2510,f825,f2515]) ).
fof(f2515,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)
| a_select2(X2,sK30(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_223])]) ).
fof(f2510,plain,
( spl41_222
<=> ! [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_222])]) ).
fof(f2513,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_222 ),
inference(forward_demodulation,[],[f2511,f827]) ).
fof(f2511,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_222 ),
inference(avatar_component_clause,[],[f2510]) ).
fof(f2512,plain,
spl41_222,
inference(avatar_split_clause,[],[f401,f2510]) ).
fof(f401,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,[],[f234]) ).
fof(f234,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])],[f157,f233]) ).
fof(f233,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(f157,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,[],[f156]) ).
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(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/sandbox/benchmark/theBenchmark.p',sel2_update_3) ).
fof(f2474,plain,
( spl41_221
| ~ spl41_63
| ~ spl41_220 ),
inference(avatar_split_clause,[],[f2470,f2466,f825,f2472]) ).
fof(f2472,plain,
( spl41_221
<=> ! [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_221])]) ).
fof(f2466,plain,
( spl41_220
<=> ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_220])]) ).
fof(f2470,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_220 ),
inference(forward_demodulation,[],[f2469,f827]) ).
fof(f2469,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_220 ),
inference(forward_demodulation,[],[f2467,f827]) ).
fof(f2467,plain,
( ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl41_220 ),
inference(avatar_component_clause,[],[f2466]) ).
fof(f2468,plain,
spl41_220,
inference(avatar_split_clause,[],[f332,f2466]) ).
fof(f332,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(flattening,[],[f126]) ).
fof(f126,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/sandbox/benchmark/theBenchmark.p',finite_domain_4) ).
fof(f2396,plain,
( spl41_219
| ~ spl41_63
| ~ spl41_211 ),
inference(avatar_split_clause,[],[f2361,f2358,f825,f2394]) ).
fof(f2394,plain,
( spl41_219
<=> ! [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_219])]) ).
fof(f2358,plain,
( spl41_211
<=> ! [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_211])]) ).
fof(f2361,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_211 ),
inference(forward_demodulation,[],[f2359,f827]) ).
fof(f2359,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_211 ),
inference(avatar_component_clause,[],[f2358]) ).
fof(f2390,plain,
( spl41_218
| ~ spl41_63
| ~ spl41_210 ),
inference(avatar_split_clause,[],[f2356,f2352,f825,f2388]) ).
fof(f2388,plain,
( spl41_218
<=> ! [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_218])]) ).
fof(f2352,plain,
( spl41_210
<=> ! [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_210])]) ).
fof(f2356,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_210 ),
inference(forward_demodulation,[],[f2355,f827]) ).
fof(f2355,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_210 ),
inference(forward_demodulation,[],[f2353,f827]) ).
fof(f2353,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_210 ),
inference(avatar_component_clause,[],[f2352]) ).
fof(f2386,plain,
spl41_217,
inference(avatar_split_clause,[],[f431,f2384]) ).
fof(f2384,plain,
( spl41_217
<=> ! [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_217])]) ).
fof(f431,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,[],[f255]) ).
fof(f255,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])],[f253,f254]) ).
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) )
=> ( 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(f253,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,[],[f252]) ).
fof(f252,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,[],[f188]) ).
fof(f2382,plain,
( spl41_215
| spl41_216
| ~ spl41_6
| ~ spl41_165 ),
inference(avatar_split_clause,[],[f1541,f1463,f506,f2379,f2375]) ).
fof(f2375,plain,
( spl41_215
<=> gt(n4,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_215])]) ).
fof(f2379,plain,
( spl41_216
<=> n4 = pv54 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_216])]) ).
fof(f1541,plain,
( n4 = pv54
| gt(n4,pv54)
| ~ spl41_6
| ~ spl41_165 ),
inference(resolution,[],[f1464,f508]) ).
fof(f2373,plain,
spl41_214,
inference(avatar_split_clause,[],[f426,f2371]) ).
fof(f2371,plain,
( spl41_214
<=> ! [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_214])]) ).
fof(f426,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,[],[f251]) ).
fof(f251,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])],[f249,f250]) ).
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) )
=> ( 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(f249,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,[],[f248]) ).
fof(f248,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,[],[f189]) ).
fof(f2369,plain,
spl41_213,
inference(avatar_split_clause,[],[f421,f2367]) ).
fof(f2367,plain,
( spl41_213
<=> ! [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_213])]) ).
fof(f421,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,[],[f247]) ).
fof(f247,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])],[f245,f246]) ).
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) )
=> ( 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(f245,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,[],[f244]) ).
fof(f244,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,[],[f190]) ).
fof(f2365,plain,
spl41_212,
inference(avatar_split_clause,[],[f406,f2363]) ).
fof(f2363,plain,
( spl41_212
<=> ! [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_212])]) ).
fof(f406,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,[],[f238]) ).
fof(f238,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])],[f236,f237]) ).
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) )
=> ( 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(f236,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,[],[f235]) ).
fof(f235,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,[],[f184]) ).
fof(f2360,plain,
spl41_211,
inference(avatar_split_clause,[],[f400,f2358]) ).
fof(f400,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,[],[f234]) ).
fof(f2354,plain,
spl41_210,
inference(avatar_split_clause,[],[f399,f2352]) ).
fof(f399,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,[],[f234]) ).
fof(f2350,plain,
spl41_209,
inference(avatar_split_clause,[],[f395,f2348]) ).
fof(f2348,plain,
( spl41_209
<=> ! [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_209])]) ).
fof(f395,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,[],[f231]) ).
fof(f231,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])],[f229,f230]) ).
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) )
=> ( 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(f229,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,[],[f228]) ).
fof(f228,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,[],[f182]) ).
fof(f2346,plain,
spl41_208,
inference(avatar_split_clause,[],[f389,f2344]) ).
fof(f2344,plain,
( spl41_208
<=> ! [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_208])]) ).
fof(f389,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,[],[f226]) ).
fof(f226,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])],[f224,f225]) ).
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) )
=> ( 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(f224,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,[],[f223]) ).
fof(f223,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,[],[f179]) ).
fof(f2342,plain,
spl41_207,
inference(avatar_split_clause,[],[f384,f2340]) ).
fof(f2340,plain,
( spl41_207
<=> ! [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_207])]) ).
fof(f384,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,[],[f222]) ).
fof(f222,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])],[f220,f221]) ).
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) )
=> ( 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(f220,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,[],[f219]) ).
fof(f219,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,[],[f180]) ).
fof(f2338,plain,
spl41_206,
inference(avatar_split_clause,[],[f378,f2336]) ).
fof(f2336,plain,
( spl41_206
<=> ! [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_206])]) ).
fof(f378,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,[],[f217]) ).
fof(f217,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])],[f215,f216]) ).
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) )
=> ( 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(f215,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,[],[f214]) ).
fof(f214,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,[],[f176]) ).
fof(f2334,plain,
spl41_205,
inference(avatar_split_clause,[],[f373,f2332]) ).
fof(f2332,plain,
( spl41_205
<=> ! [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_205])]) ).
fof(f373,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,[],[f213]) ).
fof(f213,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])],[f211,f212]) ).
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) )
=> ( 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(f211,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,[],[f210]) ).
fof(f210,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,[],[f177]) ).
fof(f2330,plain,
spl41_204,
inference(avatar_split_clause,[],[f358,f2328]) ).
fof(f2328,plain,
( spl41_204
<=> ! [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_204])]) ).
fof(f358,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,[],[f205]) ).
fof(f205,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])],[f203,f204]) ).
fof(f204,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(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) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f174]) ).
fof(f2326,plain,
spl41_203,
inference(avatar_split_clause,[],[f352,f2324]) ).
fof(f2324,plain,
( spl41_203
<=> ! [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_203])]) ).
fof(f352,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,[],[f201]) ).
fof(f201,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])],[f199,f200]) ).
fof(f200,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(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) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f172]) ).
fof(f2322,plain,
spl41_202,
inference(avatar_split_clause,[],[f346,f2320]) ).
fof(f2320,plain,
( spl41_202
<=> ! [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_202])]) ).
fof(f346,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,[],[f197]) ).
fof(f197,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])],[f195,f196]) ).
fof(f196,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(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) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f170]) ).
fof(f2318,plain,
spl41_201,
inference(avatar_split_clause,[],[f413,f2316]) ).
fof(f2316,plain,
( spl41_201
<=> ! [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_201])]) ).
fof(f413,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,[],[f243]) ).
fof(f243,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])],[f241,f242]) ).
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) )
=> ( 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(f241,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,[],[f240]) ).
fof(f240,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,[],[f186]) ).
fof(f2280,plain,
( spl41_200
| ~ spl41_63
| ~ spl41_199 ),
inference(avatar_split_clause,[],[f2276,f2272,f825,f2278]) ).
fof(f2278,plain,
( spl41_200
<=> ! [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_200])]) ).
fof(f2272,plain,
( spl41_199
<=> ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_199])]) ).
fof(f2276,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_199 ),
inference(forward_demodulation,[],[f2275,f827]) ).
fof(f2275,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_199 ),
inference(forward_demodulation,[],[f2273,f827]) ).
fof(f2273,plain,
( ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl41_199 ),
inference(avatar_component_clause,[],[f2272]) ).
fof(f2274,plain,
spl41_199,
inference(avatar_split_clause,[],[f329,f2272]) ).
fof(f329,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(flattening,[],[f120]) ).
fof(f120,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/sandbox/benchmark/theBenchmark.p',finite_domain_3) ).
fof(f2268,plain,
spl41_198,
inference(avatar_split_clause,[],[f461,f2266]) ).
fof(f2266,plain,
( spl41_198
<=> ! [X3,X4,X0,X6,X2] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X3,X6),X2,X3)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_198])]) ).
fof(f461,plain,
! [X2,X3,X0,X6,X4] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X3,X6),X2,X3)
| X0 = X2 ),
inference(equality_resolution,[],[f460]) ).
fof(f460,plain,
! [X2,X3,X0,X1,X6,X4] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X1,X6),X2,X3)
| X1 != X3
| X0 = X2 ),
inference(equality_resolution,[],[f415]) ).
fof(f415,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,[],[f165]) ).
fof(f165,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,[],[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(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/sandbox/benchmark/theBenchmark.p',sel3_update_2) ).
fof(f2153,plain,
( spl41_197
| ~ spl41_63
| ~ spl41_195 ),
inference(avatar_split_clause,[],[f2145,f2141,f825,f2151]) ).
fof(f2151,plain,
( spl41_197
<=> ! [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_197])]) ).
fof(f2141,plain,
( spl41_195
<=> ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_195])]) ).
fof(f2145,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) )
| ~ spl41_63
| ~ spl41_195 ),
inference(forward_demodulation,[],[f2144,f827]) ).
fof(f2144,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_195 ),
inference(forward_demodulation,[],[f2142,f827]) ).
fof(f2142,plain,
( ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl41_195 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f2149,plain,
spl41_196,
inference(avatar_split_clause,[],[f398,f2147]) ).
fof(f2147,plain,
( spl41_196
<=> ! [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_196])]) ).
fof(f398,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,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[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(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/sandbox/benchmark/theBenchmark.p',const_array1_select) ).
fof(f2143,plain,
spl41_195,
inference(avatar_split_clause,[],[f330,f2141]) ).
fof(f330,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f122]) ).
fof(f122,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/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f2137,plain,
spl41_194,
inference(avatar_split_clause,[],[f459,f2135]) ).
fof(f2135,plain,
( spl41_194
<=> ! [X2,X4,X0,X1] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_194])]) ).
fof(f459,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f408]) ).
fof(f408,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,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(flattening,[],[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(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/sandbox/benchmark/theBenchmark.p',sel2_update_2) ).
fof(f2093,plain,
( spl41_192
| spl41_193
| ~ spl41_5
| ~ spl41_165 ),
inference(avatar_split_clause,[],[f1540,f1463,f501,f2090,f2086]) ).
fof(f2086,plain,
( spl41_192
<=> gt(n4,pv52) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_192])]) ).
fof(f2090,plain,
( spl41_193
<=> n4 = pv52 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_193])]) ).
fof(f1540,plain,
( n4 = pv52
| gt(n4,pv52)
| ~ spl41_5
| ~ spl41_165 ),
inference(resolution,[],[f1464,f503]) ).
fof(f2078,plain,
( spl41_191
| ~ spl41_63
| ~ spl41_186 ),
inference(avatar_split_clause,[],[f2058,f2055,f825,f2076]) ).
fof(f2076,plain,
( spl41_191
<=> ! [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_191])]) ).
fof(f2055,plain,
( spl41_186
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_186])]) ).
fof(f2058,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_63
| ~ spl41_186 ),
inference(forward_demodulation,[],[f2056,f827]) ).
fof(f2056,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_186 ),
inference(avatar_component_clause,[],[f2055]) ).
fof(f2074,plain,
( spl41_190
| ~ spl41_63
| ~ spl41_185 ),
inference(avatar_split_clause,[],[f2053,f2050,f825,f2072]) ).
fof(f2072,plain,
( spl41_190
<=> ! [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_190])]) ).
fof(f2050,plain,
( spl41_185
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_185])]) ).
fof(f2053,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_63
| ~ spl41_185 ),
inference(forward_demodulation,[],[f2051,f827]) ).
fof(f2051,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_185 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2070,plain,
( spl41_189
| ~ spl41_63
| ~ spl41_184 ),
inference(avatar_split_clause,[],[f2048,f2044,f825,f2068]) ).
fof(f2068,plain,
( spl41_189
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_189])]) ).
fof(f2044,plain,
( spl41_184
<=> ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_184])]) ).
fof(f2048,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) )
| ~ spl41_63
| ~ spl41_184 ),
inference(forward_demodulation,[],[f2047,f827]) ).
fof(f2047,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_184 ),
inference(forward_demodulation,[],[f2045,f827]) ).
fof(f2045,plain,
( ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl41_184 ),
inference(avatar_component_clause,[],[f2044]) ).
fof(f2066,plain,
spl41_188,
inference(avatar_split_clause,[],[f412,f2064]) ).
fof(f2064,plain,
( spl41_188
<=> ! [X0,X3,X2,X1] :
( leq(sK34(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_188])]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( leq(sK34(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f2062,plain,
spl41_187,
inference(avatar_split_clause,[],[f411,f2060]) ).
fof(f2060,plain,
( spl41_187
<=> ! [X0,X3,X2,X1] :
( leq(sK33(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_187])]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( leq(sK33(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f2057,plain,
spl41_186,
inference(avatar_split_clause,[],[f410,f2055]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f2052,plain,
spl41_185,
inference(avatar_split_clause,[],[f409,f2050]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f2046,plain,
spl41_184,
inference(avatar_split_clause,[],[f331,f2044]) ).
fof(f331,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(flattening,[],[f124]) ).
fof(f124,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/sandbox/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f1974,plain,
spl41_183,
inference(avatar_split_clause,[],[f479,f1972]) ).
fof(f1972,plain,
( spl41_183
<=> ! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_183])]) ).
fof(f479,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f478,f443]) ).
fof(f443,plain,
! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f320,f316,f316]) ).
fof(f316,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f320,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/sandbox/benchmark/theBenchmark.p',succ_plus_2_l) ).
fof(f478,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f450,f443]) ).
fof(f450,plain,
! [X0] : plus(n5,X0) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f327,f316,f316,f316,f316,f316]) ).
fof(f327,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/sandbox/benchmark/theBenchmark.p',succ_plus_5_l) ).
fof(f1970,plain,
spl41_182,
inference(avatar_split_clause,[],[f477,f1968]) ).
fof(f1968,plain,
( spl41_182
<=> ! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_182])]) ).
fof(f477,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f476,f443]) ).
fof(f476,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f449,f443]) ).
fof(f449,plain,
! [X0] : plus(X0,n5) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f326,f316,f316,f316,f316,f316]) ).
fof(f326,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/sandbox/benchmark/theBenchmark.p',succ_plus_5_r) ).
fof(f1938,plain,
( spl41_181
| ~ spl41_168
| ~ spl41_170
| ~ spl41_180 ),
inference(avatar_split_clause,[],[f1934,f1931,f1483,f1475,f1936]) ).
fof(f1936,plain,
( spl41_181
<=> ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_181])]) ).
fof(f1475,plain,
( spl41_168
<=> ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_168])]) ).
fof(f1483,plain,
( spl41_170
<=> ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_170])]) ).
fof(f1931,plain,
( spl41_180
<=> ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_180])]) ).
fof(f1934,plain,
( ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1)
| ~ spl41_168
| ~ spl41_170
| ~ spl41_180 ),
inference(forward_demodulation,[],[f1932,f1704]) ).
fof(f1704,plain,
( ! [X0] : plus(X0,n3) = plus(n2,plus(X0,n1))
| ~ spl41_168
| ~ spl41_170 ),
inference(forward_demodulation,[],[f1688,f1484]) ).
fof(f1484,plain,
( ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1)
| ~ spl41_170 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1688,plain,
( ! [X0] : plus(n2,plus(X0,n1)) = plus(plus(n2,X0),n1)
| ~ spl41_168 ),
inference(superposition,[],[f1476,f1476]) ).
fof(f1476,plain,
( ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1)
| ~ spl41_168 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f1932,plain,
( ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl41_180 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1933,plain,
spl41_180,
inference(avatar_split_clause,[],[f475,f1931]) ).
fof(f475,plain,
! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f448,f443]) ).
fof(f448,plain,
! [X0] : plus(n4,X0) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f325,f316,f316,f316,f316]) ).
fof(f325,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/sandbox/benchmark/theBenchmark.p',succ_plus_4_l) ).
fof(f1902,plain,
( spl41_179
| ~ spl41_168
| ~ spl41_170
| ~ spl41_178 ),
inference(avatar_split_clause,[],[f1898,f1895,f1483,f1475,f1900]) ).
fof(f1900,plain,
( spl41_179
<=> ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_179])]) ).
fof(f1895,plain,
( spl41_178
<=> ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_178])]) ).
fof(f1898,plain,
( ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1)
| ~ spl41_168
| ~ spl41_170
| ~ spl41_178 ),
inference(forward_demodulation,[],[f1896,f1704]) ).
fof(f1896,plain,
( ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl41_178 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f1897,plain,
spl41_178,
inference(avatar_split_clause,[],[f474,f1895]) ).
fof(f474,plain,
! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f447,f443]) ).
fof(f447,plain,
! [X0] : plus(X0,n4) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f324,f316,f316,f316,f316]) ).
fof(f324,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/sandbox/benchmark/theBenchmark.p',succ_plus_4_r) ).
fof(f1829,plain,
spl41_177,
inference(avatar_split_clause,[],[f458,f1827]) ).
fof(f1827,plain,
( spl41_177
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_177])]) ).
fof(f458,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ),
inference(definition_unfolding,[],[f364,f316,f316]) ).
fof(f364,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,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/sandbox/benchmark/theBenchmark.p',leq_succ_succ) ).
fof(f1825,plain,
spl41_176,
inference(avatar_split_clause,[],[f457,f1823]) ).
fof(f1823,plain,
( spl41_176
<=> ! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_176])]) ).
fof(f457,plain,
! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f365,f316,f316]) ).
fof(f365,plain,
! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f1821,plain,
spl41_175,
inference(avatar_split_clause,[],[f397,f1819]) ).
fof(f1819,plain,
( spl41_175
<=> ! [X2,X0,X1,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_175])]) ).
fof(f397,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/sandbox/benchmark/theBenchmark.p',sel3_update_1) ).
fof(f1715,plain,
( spl41_173
| spl41_174
| ~ spl41_4
| ~ spl41_165 ),
inference(avatar_split_clause,[],[f1539,f1463,f496,f1712,f1708]) ).
fof(f1708,plain,
( spl41_173
<=> gt(n135299,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_173])]) ).
fof(f1712,plain,
( spl41_174
<=> pv10 = n135299 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_174])]) ).
fof(f1539,plain,
( pv10 = n135299
| gt(n135299,pv10)
| ~ spl41_4
| ~ spl41_165 ),
inference(resolution,[],[f1464,f498]) ).
fof(f1493,plain,
( spl41_172
| ~ spl41_63
| ~ spl41_163 ),
inference(avatar_split_clause,[],[f1457,f1452,f825,f1491]) ).
fof(f1491,plain,
( spl41_172
<=> ! [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_172])]) ).
fof(f1452,plain,
( spl41_163
<=> ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_163])]) ).
fof(f1457,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 )
| ~ spl41_63
| ~ spl41_163 ),
inference(forward_demodulation,[],[f1456,f827]) ).
fof(f1456,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_163 ),
inference(forward_demodulation,[],[f1455,f827]) ).
fof(f1455,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_163 ),
inference(forward_demodulation,[],[f1453,f827]) ).
fof(f1453,plain,
( ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl41_163 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1489,plain,
spl41_171,
inference(avatar_split_clause,[],[f473,f1487]) ).
fof(f1487,plain,
( spl41_171
<=> ! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_171])]) ).
fof(f473,plain,
! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f446,f443]) ).
fof(f446,plain,
! [X0] : plus(n3,X0) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f323,f316,f316,f316]) ).
fof(f323,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/sandbox/benchmark/theBenchmark.p',succ_plus_3_l) ).
fof(f1485,plain,
spl41_170,
inference(avatar_split_clause,[],[f472,f1483]) ).
fof(f472,plain,
! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f445,f443]) ).
fof(f445,plain,
! [X0] : plus(X0,n3) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f322,f316,f316,f316]) ).
fof(f322,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/sandbox/benchmark/theBenchmark.p',succ_plus_3_r) ).
fof(f1481,plain,
spl41_169,
inference(avatar_split_clause,[],[f444,f1479]) ).
fof(f1479,plain,
( spl41_169
<=> ! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_169])]) ).
fof(f444,plain,
! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f321,f316,f316]) ).
fof(f321,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/sandbox/benchmark/theBenchmark.p',succ_plus_2_r) ).
fof(f1477,plain,
spl41_168,
inference(avatar_split_clause,[],[f443,f1475]) ).
fof(f1473,plain,
spl41_167,
inference(avatar_split_clause,[],[f368,f1471]) ).
fof(f368,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f146]) ).
fof(f146,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/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f1469,plain,
spl41_166,
inference(avatar_split_clause,[],[f367,f1467]) ).
fof(f367,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f144]) ).
fof(f144,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/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f1465,plain,
spl41_165,
inference(avatar_split_clause,[],[f341,f1463]) ).
fof(f341,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,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/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f1461,plain,
spl41_164,
inference(avatar_split_clause,[],[f334,f1459]) ).
fof(f1459,plain,
( spl41_164
<=> ! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_164])]) ).
fof(f334,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/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f1454,plain,
spl41_163,
inference(avatar_split_clause,[],[f333,f1452]) ).
fof(f333,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f128]) ).
fof(f128,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/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f1450,plain,
( spl41_162
| ~ spl41_9
| ~ spl41_8
| ~ spl41_12 ),
inference(avatar_split_clause,[],[f549,f535,f516,f521,f1447]) ).
fof(f1447,plain,
( spl41_162
<=> init = a_select2(mu_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_162])]) ).
fof(f549,plain,
( ~ leq(sK13,n4)
| init = a_select2(mu_init,sK13)
| ~ spl41_8
| ~ spl41_12 ),
inference(resolution,[],[f536,f518]) ).
fof(f1442,plain,
( spl41_161
| ~ spl41_6
| ~ spl41_3
| ~ spl41_12 ),
inference(avatar_split_clause,[],[f548,f535,f491,f506,f1439]) ).
fof(f1439,plain,
( spl41_161
<=> init = a_select2(mu_init,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_161])]) ).
fof(f548,plain,
( ~ leq(pv54,n4)
| init = a_select2(mu_init,pv54)
| ~ spl41_3
| ~ spl41_12 ),
inference(resolution,[],[f536,f493]) ).
fof(f1325,plain,
( spl41_160
| ~ spl41_63
| ~ spl41_125 ),
inference(avatar_split_clause,[],[f1184,f1181,f825,f1323]) ).
fof(f1323,plain,
( spl41_160
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_160])]) ).
fof(f1181,plain,
( spl41_125
<=> ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_125])]) ).
fof(f1184,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_63
| ~ spl41_125 ),
inference(forward_demodulation,[],[f1182,f827]) ).
fof(f1182,plain,
( ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_125 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1321,plain,
( spl41_159
| ~ spl41_63
| ~ spl41_123 ),
inference(avatar_split_clause,[],[f1175,f1172,f825,f1319]) ).
fof(f1319,plain,
( spl41_159
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_159])]) ).
fof(f1172,plain,
( spl41_123
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_123])]) ).
fof(f1175,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_63
| ~ spl41_123 ),
inference(forward_demodulation,[],[f1173,f827]) ).
fof(f1173,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_123 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1317,plain,
( spl41_158
| ~ spl41_63
| ~ spl41_121 ),
inference(avatar_split_clause,[],[f1166,f1163,f825,f1315]) ).
fof(f1315,plain,
( spl41_158
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_158])]) ).
fof(f1163,plain,
( spl41_121
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_121])]) ).
fof(f1166,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_63
| ~ spl41_121 ),
inference(forward_demodulation,[],[f1164,f827]) ).
fof(f1164,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_121 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1313,plain,
( spl41_157
| ~ spl41_63
| ~ spl41_119 ),
inference(avatar_split_clause,[],[f1157,f1154,f825,f1311]) ).
fof(f1311,plain,
( spl41_157
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_157])]) ).
fof(f1154,plain,
( spl41_119
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_119])]) ).
fof(f1157,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_63
| ~ spl41_119 ),
inference(forward_demodulation,[],[f1155,f827]) ).
fof(f1155,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_119 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1309,plain,
( spl41_156
| ~ spl41_63
| ~ spl41_117 ),
inference(avatar_split_clause,[],[f1148,f1145,f825,f1307]) ).
fof(f1307,plain,
( spl41_156
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_156])]) ).
fof(f1145,plain,
( spl41_117
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_117])]) ).
fof(f1148,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_63
| ~ spl41_117 ),
inference(forward_demodulation,[],[f1146,f827]) ).
fof(f1146,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_117 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1305,plain,
( spl41_155
| ~ spl41_63
| ~ spl41_115 ),
inference(avatar_split_clause,[],[f1139,f1136,f825,f1303]) ).
fof(f1303,plain,
( spl41_155
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_155])]) ).
fof(f1136,plain,
( spl41_115
<=> ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_115])]) ).
fof(f1139,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_63
| ~ spl41_115 ),
inference(forward_demodulation,[],[f1137,f827]) ).
fof(f1137,plain,
( ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_115 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1301,plain,
( spl41_154
| ~ spl41_5
| ~ spl41_2
| ~ spl41_12 ),
inference(avatar_split_clause,[],[f547,f535,f486,f501,f1298]) ).
fof(f1298,plain,
( spl41_154
<=> init = a_select2(mu_init,pv52) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_154])]) ).
fof(f547,plain,
( ~ leq(pv52,n4)
| init = a_select2(mu_init,pv52)
| ~ spl41_2
| ~ spl41_12 ),
inference(resolution,[],[f536,f488]) ).
fof(f1296,plain,
( spl41_153
| ~ spl41_63
| ~ spl41_113 ),
inference(avatar_split_clause,[],[f1130,f1127,f825,f1294]) ).
fof(f1294,plain,
( spl41_153
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_153])]) ).
fof(f1127,plain,
( spl41_113
<=> ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_113])]) ).
fof(f1130,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_63
| ~ spl41_113 ),
inference(forward_demodulation,[],[f1128,f827]) ).
fof(f1128,plain,
( ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_113 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1292,plain,
( spl41_152
| ~ spl41_63
| ~ spl41_110 ),
inference(avatar_split_clause,[],[f1116,f1113,f825,f1290]) ).
fof(f1290,plain,
( spl41_152
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_152])]) ).
fof(f1113,plain,
( spl41_110
<=> ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_110])]) ).
fof(f1116,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_63
| ~ spl41_110 ),
inference(forward_demodulation,[],[f1114,f827]) ).
fof(f1114,plain,
( ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_110 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1288,plain,
( spl41_151
| ~ spl41_63
| ~ spl41_108 ),
inference(avatar_split_clause,[],[f1107,f1104,f825,f1286]) ).
fof(f1286,plain,
( spl41_151
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_151])]) ).
fof(f1104,plain,
( spl41_108
<=> ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_108])]) ).
fof(f1107,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_63
| ~ spl41_108 ),
inference(forward_demodulation,[],[f1105,f827]) ).
fof(f1105,plain,
( ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_108 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1284,plain,
( spl41_150
| ~ spl41_63
| ~ spl41_106 ),
inference(avatar_split_clause,[],[f1098,f1095,f825,f1282]) ).
fof(f1282,plain,
( spl41_150
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_150])]) ).
fof(f1095,plain,
( spl41_106
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_106])]) ).
fof(f1098,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_63
| ~ spl41_106 ),
inference(forward_demodulation,[],[f1096,f827]) ).
fof(f1096,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_106 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1280,plain,
( spl41_149
| ~ spl41_63
| ~ spl41_104 ),
inference(avatar_split_clause,[],[f1089,f1086,f825,f1278]) ).
fof(f1278,plain,
( spl41_149
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_149])]) ).
fof(f1086,plain,
( spl41_104
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_104])]) ).
fof(f1089,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_63
| ~ spl41_104 ),
inference(forward_demodulation,[],[f1087,f827]) ).
fof(f1087,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_104 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1276,plain,
( spl41_148
| ~ spl41_63
| ~ spl41_102 ),
inference(avatar_split_clause,[],[f1080,f1077,f825,f1274]) ).
fof(f1274,plain,
( spl41_148
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_148])]) ).
fof(f1077,plain,
( spl41_102
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_102])]) ).
fof(f1080,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_63
| ~ spl41_102 ),
inference(forward_demodulation,[],[f1078,f827]) ).
fof(f1078,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_102 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1272,plain,
( spl41_147
| ~ spl41_63
| ~ spl41_99 ),
inference(avatar_split_clause,[],[f1066,f1063,f825,f1270]) ).
fof(f1270,plain,
( spl41_147
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_147])]) ).
fof(f1063,plain,
( spl41_99
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_99])]) ).
fof(f1066,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_63
| ~ spl41_99 ),
inference(forward_demodulation,[],[f1064,f827]) ).
fof(f1064,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_99 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1268,plain,
( spl41_146
| ~ spl41_63
| ~ spl41_97 ),
inference(avatar_split_clause,[],[f1057,f1054,f825,f1266]) ).
fof(f1266,plain,
( spl41_146
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_146])]) ).
fof(f1054,plain,
( spl41_97
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_97])]) ).
fof(f1057,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_63
| ~ spl41_97 ),
inference(forward_demodulation,[],[f1055,f827]) ).
fof(f1055,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_97 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1264,plain,
( spl41_145
| ~ spl41_63
| ~ spl41_95 ),
inference(avatar_split_clause,[],[f1048,f1045,f825,f1262]) ).
fof(f1262,plain,
( spl41_145
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_145])]) ).
fof(f1045,plain,
( spl41_95
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_95])]) ).
fof(f1048,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_63
| ~ spl41_95 ),
inference(forward_demodulation,[],[f1046,f827]) ).
fof(f1046,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_95 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1260,plain,
( spl41_144
| ~ spl41_63
| ~ spl41_93 ),
inference(avatar_split_clause,[],[f1039,f1036,f825,f1258]) ).
fof(f1258,plain,
( spl41_144
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_144])]) ).
fof(f1036,plain,
( spl41_93
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_93])]) ).
fof(f1039,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_63
| ~ spl41_93 ),
inference(forward_demodulation,[],[f1037,f827]) ).
fof(f1037,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_93 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1256,plain,
( spl41_143
| ~ spl41_63
| ~ spl41_91 ),
inference(avatar_split_clause,[],[f1030,f1027,f825,f1254]) ).
fof(f1254,plain,
( spl41_143
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_143])]) ).
fof(f1027,plain,
( spl41_91
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_91])]) ).
fof(f1030,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_63
| ~ spl41_91 ),
inference(forward_demodulation,[],[f1028,f827]) ).
fof(f1028,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_91 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1252,plain,
( spl41_142
| ~ spl41_63
| ~ spl41_88 ),
inference(avatar_split_clause,[],[f1016,f1013,f825,f1250]) ).
fof(f1250,plain,
( spl41_142
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_142])]) ).
fof(f1013,plain,
( spl41_88
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_88])]) ).
fof(f1016,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_63
| ~ spl41_88 ),
inference(forward_demodulation,[],[f1014,f827]) ).
fof(f1014,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_88 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1248,plain,
( spl41_141
| ~ spl41_63
| ~ spl41_85 ),
inference(avatar_split_clause,[],[f1003,f1000,f825,f1246]) ).
fof(f1246,plain,
( spl41_141
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_141])]) ).
fof(f1000,plain,
( spl41_85
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_85])]) ).
fof(f1003,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_63
| ~ spl41_85 ),
inference(forward_demodulation,[],[f1001,f827]) ).
fof(f1001,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_85 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1244,plain,
( spl41_140
| ~ spl41_63
| ~ spl41_83 ),
inference(avatar_split_clause,[],[f994,f991,f825,f1242]) ).
fof(f1242,plain,
( spl41_140
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_140])]) ).
fof(f991,plain,
( spl41_83
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_83])]) ).
fof(f994,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_63
| ~ spl41_83 ),
inference(forward_demodulation,[],[f992,f827]) ).
fof(f992,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_83 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f1240,plain,
( spl41_139
| ~ spl41_63
| ~ spl41_81 ),
inference(avatar_split_clause,[],[f985,f982,f825,f1238]) ).
fof(f1238,plain,
( spl41_139
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_139])]) ).
fof(f982,plain,
( spl41_81
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_81])]) ).
fof(f985,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_63
| ~ spl41_81 ),
inference(forward_demodulation,[],[f983,f827]) ).
fof(f983,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_81 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f1236,plain,
( spl41_138
| ~ spl41_63
| ~ spl41_78 ),
inference(avatar_split_clause,[],[f971,f968,f825,f1234]) ).
fof(f1234,plain,
( spl41_138
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_138])]) ).
fof(f968,plain,
( spl41_78
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_78])]) ).
fof(f971,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_63
| ~ spl41_78 ),
inference(forward_demodulation,[],[f969,f827]) ).
fof(f969,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_78 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f1232,plain,
( spl41_137
| ~ spl41_63
| ~ spl41_76 ),
inference(avatar_split_clause,[],[f962,f959,f825,f1230]) ).
fof(f1230,plain,
( spl41_137
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_137])]) ).
fof(f959,plain,
( spl41_76
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_76])]) ).
fof(f962,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_63
| ~ spl41_76 ),
inference(forward_demodulation,[],[f960,f827]) ).
fof(f960,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_76 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f1228,plain,
( spl41_136
| ~ spl41_63
| ~ spl41_74 ),
inference(avatar_split_clause,[],[f953,f950,f825,f1226]) ).
fof(f1226,plain,
( spl41_136
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_136])]) ).
fof(f950,plain,
( spl41_74
<=> ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_74])]) ).
fof(f953,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_63
| ~ spl41_74 ),
inference(forward_demodulation,[],[f951,f827]) ).
fof(f951,plain,
( ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_74 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1224,plain,
( spl41_135
| ~ spl41_63
| ~ spl41_73 ),
inference(avatar_split_clause,[],[f948,f945,f825,f1222]) ).
fof(f1222,plain,
( spl41_135
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_135])]) ).
fof(f945,plain,
( spl41_73
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_73])]) ).
fof(f948,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_63
| ~ spl41_73 ),
inference(forward_demodulation,[],[f946,f827]) ).
fof(f946,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_73 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f1220,plain,
( spl41_134
| ~ spl41_63
| ~ spl41_72 ),
inference(avatar_split_clause,[],[f943,f940,f825,f1218]) ).
fof(f1218,plain,
( spl41_134
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_134])]) ).
fof(f940,plain,
( spl41_72
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_72])]) ).
fof(f943,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl41_63
| ~ spl41_72 ),
inference(forward_demodulation,[],[f941,f827]) ).
fof(f941,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl41_72 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f1216,plain,
( spl41_133
| ~ spl41_63
| ~ spl41_71 ),
inference(avatar_split_clause,[],[f938,f934,f825,f1214]) ).
fof(f1214,plain,
( spl41_133
<=> ! [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_133])]) ).
fof(f934,plain,
( spl41_71
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_71])]) ).
fof(f938,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl41_63
| ~ spl41_71 ),
inference(forward_demodulation,[],[f937,f827]) ).
fof(f937,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_63
| ~ spl41_71 ),
inference(forward_demodulation,[],[f935,f827]) ).
fof(f935,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_71 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f1212,plain,
spl41_132,
inference(avatar_split_clause,[],[f456,f1210]) ).
fof(f1210,plain,
( spl41_132
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_132])]) ).
fof(f456,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f362,f318]) ).
fof(f318,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f362,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,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/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f1208,plain,
spl41_131,
inference(avatar_split_clause,[],[f455,f1206]) ).
fof(f1206,plain,
( spl41_131
<=> ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_131])]) ).
fof(f455,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f363,f318]) ).
fof(f363,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1204,plain,
spl41_130,
inference(avatar_split_clause,[],[f454,f1202]) ).
fof(f1202,plain,
( spl41_130
<=> ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_130])]) ).
fof(f454,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f360,f316]) ).
fof(f360,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,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/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f1200,plain,
spl41_129,
inference(avatar_split_clause,[],[f453,f1198]) ).
fof(f1198,plain,
( spl41_129
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_129])]) ).
fof(f453,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f361,f316]) ).
fof(f361,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1196,plain,
spl41_128,
inference(avatar_split_clause,[],[f452,f1194]) ).
fof(f1194,plain,
( spl41_128
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_128])]) ).
fof(f452,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f339,f316]) ).
fof(f339,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,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/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f1192,plain,
spl41_127,
inference(avatar_split_clause,[],[f451,f1190]) ).
fof(f1190,plain,
( spl41_127
<=> ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_127])]) ).
fof(f451,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f335,f316]) ).
fof(f335,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,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/sandbox/benchmark/theBenchmark.p',leq_succ) ).
fof(f1188,plain,
spl41_126,
inference(avatar_split_clause,[],[f430,f1186]) ).
fof(f1186,plain,
( spl41_126
<=> ! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_126])]) ).
fof(f430,plain,
! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1183,plain,
spl41_125,
inference(avatar_split_clause,[],[f429,f1181]) ).
fof(f429,plain,
! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1179,plain,
spl41_124,
inference(avatar_split_clause,[],[f428,f1177]) ).
fof(f1177,plain,
( spl41_124
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_124])]) ).
fof(f428,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1174,plain,
spl41_123,
inference(avatar_split_clause,[],[f427,f1172]) ).
fof(f427,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1170,plain,
spl41_122,
inference(avatar_split_clause,[],[f425,f1168]) ).
fof(f1168,plain,
( spl41_122
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_122])]) ).
fof(f425,plain,
! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1165,plain,
spl41_121,
inference(avatar_split_clause,[],[f424,f1163]) ).
fof(f424,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1161,plain,
spl41_120,
inference(avatar_split_clause,[],[f423,f1159]) ).
fof(f1159,plain,
( spl41_120
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_120])]) ).
fof(f423,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1156,plain,
spl41_119,
inference(avatar_split_clause,[],[f422,f1154]) ).
fof(f422,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1152,plain,
spl41_118,
inference(avatar_split_clause,[],[f420,f1150]) ).
fof(f1150,plain,
( spl41_118
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_118])]) ).
fof(f420,plain,
! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1147,plain,
spl41_117,
inference(avatar_split_clause,[],[f419,f1145]) ).
fof(f419,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1143,plain,
spl41_116,
inference(avatar_split_clause,[],[f418,f1141]) ).
fof(f1141,plain,
( spl41_116
<=> ! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_116])]) ).
fof(f418,plain,
! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1138,plain,
spl41_115,
inference(avatar_split_clause,[],[f417,f1136]) ).
fof(f417,plain,
! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1134,plain,
spl41_114,
inference(avatar_split_clause,[],[f405,f1132]) ).
fof(f1132,plain,
( spl41_114
<=> ! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_114])]) ).
fof(f405,plain,
! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1129,plain,
spl41_113,
inference(avatar_split_clause,[],[f404,f1127]) ).
fof(f404,plain,
! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1125,plain,
( spl41_112
| ~ spl41_7
| ~ spl41_65 ),
inference(avatar_split_clause,[],[f891,f855,f511,f1122]) ).
fof(f1122,plain,
( spl41_112
<=> leq(n1,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_112])]) ).
fof(f855,plain,
( spl41_65
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_65])]) ).
fof(f891,plain,
( leq(n1,loopcounter)
| ~ spl41_7
| ~ spl41_65 ),
inference(resolution,[],[f856,f513]) ).
fof(f856,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl41_65 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f1120,plain,
spl41_111,
inference(avatar_split_clause,[],[f403,f1118]) ).
fof(f1118,plain,
( spl41_111
<=> ! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_111])]) ).
fof(f403,plain,
! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1115,plain,
spl41_110,
inference(avatar_split_clause,[],[f402,f1113]) ).
fof(f402,plain,
! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1111,plain,
spl41_109,
inference(avatar_split_clause,[],[f394,f1109]) ).
fof(f1109,plain,
( spl41_109
<=> ! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_109])]) ).
fof(f394,plain,
! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1106,plain,
spl41_108,
inference(avatar_split_clause,[],[f393,f1104]) ).
fof(f393,plain,
! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1102,plain,
spl41_107,
inference(avatar_split_clause,[],[f392,f1100]) ).
fof(f1100,plain,
( spl41_107
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_107])]) ).
fof(f392,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1097,plain,
spl41_106,
inference(avatar_split_clause,[],[f391,f1095]) ).
fof(f391,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1093,plain,
spl41_105,
inference(avatar_split_clause,[],[f388,f1091]) ).
fof(f1091,plain,
( spl41_105
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_105])]) ).
fof(f388,plain,
! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1088,plain,
spl41_104,
inference(avatar_split_clause,[],[f387,f1086]) ).
fof(f387,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1084,plain,
spl41_103,
inference(avatar_split_clause,[],[f386,f1082]) ).
fof(f1082,plain,
( spl41_103
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_103])]) ).
fof(f386,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1079,plain,
spl41_102,
inference(avatar_split_clause,[],[f385,f1077]) ).
fof(f385,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1075,plain,
( spl41_101
| ~ spl41_8
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f832,f825,f516,f1072]) ).
fof(f1072,plain,
( spl41_101
<=> leq(tptp_float_0_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_101])]) ).
fof(f832,plain,
( leq(tptp_float_0_0,sK13)
| ~ spl41_8
| ~ spl41_63 ),
inference(superposition,[],[f518,f827]) ).
fof(f1070,plain,
spl41_100,
inference(avatar_split_clause,[],[f383,f1068]) ).
fof(f1068,plain,
( spl41_100
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_100])]) ).
fof(f383,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1065,plain,
spl41_99,
inference(avatar_split_clause,[],[f382,f1063]) ).
fof(f382,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1061,plain,
spl41_98,
inference(avatar_split_clause,[],[f381,f1059]) ).
fof(f1059,plain,
( spl41_98
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_98])]) ).
fof(f381,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1056,plain,
spl41_97,
inference(avatar_split_clause,[],[f380,f1054]) ).
fof(f380,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1052,plain,
spl41_96,
inference(avatar_split_clause,[],[f377,f1050]) ).
fof(f1050,plain,
( spl41_96
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_96])]) ).
fof(f377,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1047,plain,
spl41_95,
inference(avatar_split_clause,[],[f376,f1045]) ).
fof(f376,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1043,plain,
spl41_94,
inference(avatar_split_clause,[],[f375,f1041]) ).
fof(f1041,plain,
( spl41_94
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_94])]) ).
fof(f375,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1038,plain,
spl41_93,
inference(avatar_split_clause,[],[f374,f1036]) ).
fof(f374,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1034,plain,
spl41_92,
inference(avatar_split_clause,[],[f372,f1032]) ).
fof(f1032,plain,
( spl41_92
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_92])]) ).
fof(f372,plain,
! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1029,plain,
spl41_91,
inference(avatar_split_clause,[],[f371,f1027]) ).
fof(f371,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1025,plain,
( spl41_90
| ~ spl41_3
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f831,f825,f491,f1022]) ).
fof(f1022,plain,
( spl41_90
<=> leq(tptp_float_0_0,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_90])]) ).
fof(f831,plain,
( leq(tptp_float_0_0,pv54)
| ~ spl41_3
| ~ spl41_63 ),
inference(superposition,[],[f493,f827]) ).
fof(f1020,plain,
spl41_89,
inference(avatar_split_clause,[],[f370,f1018]) ).
fof(f1018,plain,
( spl41_89
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_89])]) ).
fof(f370,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1015,plain,
spl41_88,
inference(avatar_split_clause,[],[f369,f1013]) ).
fof(f369,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1011,plain,
spl41_87,
inference(avatar_split_clause,[],[f366,f1009]) ).
fof(f1009,plain,
( spl41_87
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_87])]) ).
fof(f366,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/sandbox/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f1007,plain,
spl41_86,
inference(avatar_split_clause,[],[f357,f1005]) ).
fof(f1005,plain,
( spl41_86
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_86])]) ).
fof(f357,plain,
! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1002,plain,
spl41_85,
inference(avatar_split_clause,[],[f356,f1000]) ).
fof(f356,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f998,plain,
spl41_84,
inference(avatar_split_clause,[],[f355,f996]) ).
fof(f996,plain,
( spl41_84
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f355,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f993,plain,
spl41_83,
inference(avatar_split_clause,[],[f354,f991]) ).
fof(f354,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f989,plain,
spl41_82,
inference(avatar_split_clause,[],[f351,f987]) ).
fof(f987,plain,
( spl41_82
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_82])]) ).
fof(f351,plain,
! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f984,plain,
spl41_81,
inference(avatar_split_clause,[],[f350,f982]) ).
fof(f350,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f980,plain,
spl41_80,
inference(avatar_split_clause,[],[f349,f978]) ).
fof(f978,plain,
( spl41_80
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_80])]) ).
fof(f349,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f976,plain,
( spl41_79
| ~ spl41_2
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f830,f825,f486,f973]) ).
fof(f973,plain,
( spl41_79
<=> leq(tptp_float_0_0,pv52) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_79])]) ).
fof(f830,plain,
( leq(tptp_float_0_0,pv52)
| ~ spl41_2
| ~ spl41_63 ),
inference(superposition,[],[f488,f827]) ).
fof(f970,plain,
spl41_78,
inference(avatar_split_clause,[],[f348,f968]) ).
fof(f348,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f966,plain,
spl41_77,
inference(avatar_split_clause,[],[f345,f964]) ).
fof(f964,plain,
( spl41_77
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_77])]) ).
fof(f345,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f961,plain,
spl41_76,
inference(avatar_split_clause,[],[f344,f959]) ).
fof(f344,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f957,plain,
spl41_75,
inference(avatar_split_clause,[],[f343,f955]) ).
fof(f955,plain,
( spl41_75
<=> ! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_75])]) ).
fof(f343,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f952,plain,
spl41_74,
inference(avatar_split_clause,[],[f342,f950]) ).
fof(f342,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f947,plain,
spl41_73,
inference(avatar_split_clause,[],[f340,f945]) ).
fof(f340,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,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/sandbox/benchmark/theBenchmark.p',leq_minus) ).
fof(f942,plain,
spl41_72,
inference(avatar_split_clause,[],[f337,f940]) ).
fof(f337,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,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/sandbox/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi) ).
fof(f936,plain,
spl41_71,
inference(avatar_split_clause,[],[f336,f934]) ).
fof(f336,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,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/sandbox/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo) ).
fof(f923,plain,
( spl41_70
| ~ spl41_1
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f829,f825,f481,f920]) ).
fof(f920,plain,
( spl41_70
<=> leq(tptp_float_0_0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_70])]) ).
fof(f829,plain,
( leq(tptp_float_0_0,pv10)
| ~ spl41_1
| ~ spl41_63 ),
inference(superposition,[],[f483,f827]) ).
fof(f910,plain,
spl41_69,
inference(avatar_split_clause,[],[f442,f908]) ).
fof(f908,plain,
( spl41_69
<=> ! [X0] : plus(X0,n1) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_69])]) ).
fof(f442,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f317,f316]) ).
fof(f317,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f906,plain,
spl41_68,
inference(avatar_split_clause,[],[f441,f904]) ).
fof(f904,plain,
( spl41_68
<=> ! [X0] : plus(minus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_68])]) ).
fof(f441,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f314,f316,f318]) ).
fof(f314,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_pred) ).
fof(f902,plain,
spl41_67,
inference(avatar_split_clause,[],[f440,f900]) ).
fof(f900,plain,
( spl41_67
<=> ! [X0] : minus(plus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_67])]) ).
fof(f440,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f313,f318,f316]) ).
fof(f313,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).
fof(f861,plain,
( spl41_66
| ~ spl41_63
| ~ spl41_64 ),
inference(avatar_split_clause,[],[f853,f850,f825,f859]) ).
fof(f859,plain,
( spl41_66
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_66])]) ).
fof(f850,plain,
( spl41_64
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_64])]) ).
fof(f853,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl41_63
| ~ spl41_64 ),
inference(forward_demodulation,[],[f851,f827]) ).
fof(f851,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_64 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f857,plain,
spl41_65,
inference(avatar_split_clause,[],[f338,f855]) ).
fof(f338,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,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/sandbox/benchmark/theBenchmark.p',leq_gt1) ).
fof(f852,plain,
spl41_64,
inference(avatar_split_clause,[],[f319,f850]) ).
fof(f319,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/sandbox/benchmark/theBenchmark.p',sum_plus_base_float) ).
fof(f828,plain,
( spl41_63
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f823,f820,f825]) ).
fof(f820,plain,
( spl41_62
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_62])]) ).
fof(f823,plain,
( n0 = tptp_float_0_0
| ~ spl41_62 ),
inference(forward_demodulation,[],[f821,f319]) ).
fof(f821,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_62 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f822,plain,
spl41_62,
inference(avatar_split_clause,[],[f315,f820]) ).
fof(f315,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/sandbox/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f812,plain,
spl41_61,
inference(avatar_split_clause,[],[f471,f809]) ).
fof(f809,plain,
( spl41_61
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_61])]) ).
fof(f471,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f470,f467]) ).
fof(f467,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f466,f464]) ).
fof(f464,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f463,f462]) ).
fof(f462,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f435,f433]) ).
fof(f433,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f304,f316]) ).
fof(f304,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f435,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f306,f316,f316]) ).
fof(f306,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f463,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f436,f433]) ).
fof(f436,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f307,f316,f316,f316]) ).
fof(f307,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(f466,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f465,f462]) ).
fof(f465,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f437,f433]) ).
fof(f437,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f308,f316,f316,f316,f316]) ).
fof(f308,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(f470,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f469,f464]) ).
fof(f469,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f468,f462]) ).
fof(f468,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f438,f433]) ).
fof(f438,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f309,f316,f316,f316,f316,f316]) ).
fof(f309,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/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(f807,plain,
( spl41_60
| ~ spl41_9
| ~ spl41_8
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f545,f531,f516,f521,f804]) ).
fof(f804,plain,
( spl41_60
<=> init = a_select2(rho_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_60])]) ).
fof(f545,plain,
( ~ leq(sK13,n4)
| init = a_select2(rho_init,sK13)
| ~ spl41_8
| ~ spl41_11 ),
inference(resolution,[],[f532,f518]) ).
fof(f802,plain,
spl41_59,
inference(avatar_split_clause,[],[f467,f799]) ).
fof(f799,plain,
( spl41_59
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_59])]) ).
fof(f797,plain,
spl41_58,
inference(avatar_split_clause,[],[f464,f794]) ).
fof(f794,plain,
( spl41_58
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_58])]) ).
fof(f792,plain,
spl41_57,
inference(avatar_split_clause,[],[f462,f789]) ).
fof(f789,plain,
( spl41_57
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_57])]) ).
fof(f787,plain,
spl41_56,
inference(avatar_split_clause,[],[f439,f785]) ).
fof(f439,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f312,f316]) ).
fof(f312,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_succ) ).
fof(f783,plain,
spl41_55,
inference(avatar_split_clause,[],[f434,f780]) ).
fof(f780,plain,
( spl41_55
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_55])]) ).
fof(f434,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f305,f316]) ).
fof(f305,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f778,plain,
spl41_54,
inference(avatar_split_clause,[],[f433,f775]) ).
fof(f775,plain,
( spl41_54
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_54])]) ).
fof(f768,plain,
spl41_53,
inference(avatar_split_clause,[],[f264,f766]) ).
fof(f766,plain,
( spl41_53
<=> ! [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_53])]) ).
fof(f264,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,[],[f194]) ).
fof(f194,plain,
( init != a_select2(muold_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,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,n4)
| ~ 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(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f192,f193]) ).
fof(f193,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(muold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0] :
( init != a_select2(muold_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,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,n4)
| ~ 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(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X9] :
( init != a_select2(muold_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,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,n4)
| ~ 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(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X9] :
( init != a_select2(muold_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,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,n4)
| ~ 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(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) ),
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,n4)
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X5] :
( ( leq(X5,n4)
& 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(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(muold_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,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& 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(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_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,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& 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(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0026) ).
fof(f759,plain,
( ~ spl41_7
| spl41_52 ),
inference(avatar_split_clause,[],[f271,f757,f511]) ).
fof(f757,plain,
( spl41_52
<=> ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_52])]) ).
fof(f271,plain,
! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f750,plain,
( ~ spl41_7
| spl41_51 ),
inference(avatar_split_clause,[],[f270,f748,f511]) ).
fof(f748,plain,
( spl41_51
<=> ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_51])]) ).
fof(f270,plain,
! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f741,plain,
( ~ spl41_7
| spl41_50 ),
inference(avatar_split_clause,[],[f269,f739,f511]) ).
fof(f269,plain,
! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f733,plain,
( spl41_49
| ~ spl41_6
| ~ spl41_3
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f544,f531,f491,f506,f730]) ).
fof(f730,plain,
( spl41_49
<=> init = a_select2(rho_init,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_49])]) ).
fof(f544,plain,
( ~ leq(pv54,n4)
| init = a_select2(rho_init,pv54)
| ~ spl41_3
| ~ spl41_11 ),
inference(resolution,[],[f532,f493]) ).
fof(f728,plain,
( spl41_48
| ~ spl41_5
| ~ spl41_2
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f543,f531,f486,f501,f725]) ).
fof(f725,plain,
( spl41_48
<=> init = a_select2(rho_init,pv52) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_48])]) ).
fof(f543,plain,
( ~ leq(pv52,n4)
| init = a_select2(rho_init,pv52)
| ~ spl41_2
| ~ spl41_11 ),
inference(resolution,[],[f532,f488]) ).
fof(f723,plain,
spl41_47,
inference(avatar_split_clause,[],[f311,f721]) ).
fof(f311,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f719,plain,
spl41_46,
inference(avatar_split_clause,[],[f310,f717]) ).
fof(f717,plain,
( spl41_46
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_46])]) ).
fof(f310,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f715,plain,
spl41_45,
inference(avatar_split_clause,[],[f303,f712]) ).
fof(f712,plain,
( spl41_45
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_45])]) ).
fof(f303,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f710,plain,
spl41_44,
inference(avatar_split_clause,[],[f302,f707]) ).
fof(f707,plain,
( spl41_44
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_44])]) ).
fof(f302,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(f705,plain,
spl41_43,
inference(avatar_split_clause,[],[f301,f702]) ).
fof(f702,plain,
( spl41_43
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_43])]) ).
fof(f301,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(f700,plain,
spl41_42,
inference(avatar_split_clause,[],[f300,f697]) ).
fof(f697,plain,
( spl41_42
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_42])]) ).
fof(f300,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(f695,plain,
spl41_41,
inference(avatar_split_clause,[],[f299,f692]) ).
fof(f692,plain,
( spl41_41
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_41])]) ).
fof(f299,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(f690,plain,
spl41_40,
inference(avatar_split_clause,[],[f298,f687]) ).
fof(f687,plain,
( spl41_40
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_40])]) ).
fof(f298,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f685,plain,
spl41_39,
inference(avatar_split_clause,[],[f297,f682]) ).
fof(f682,plain,
( spl41_39
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_39])]) ).
fof(f297,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f680,plain,
spl41_38,
inference(avatar_split_clause,[],[f296,f677]) ).
fof(f677,plain,
( spl41_38
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_38])]) ).
fof(f296,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f675,plain,
spl41_37,
inference(avatar_split_clause,[],[f295,f672]) ).
fof(f672,plain,
( spl41_37
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_37])]) ).
fof(f295,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(f670,plain,
spl41_36,
inference(avatar_split_clause,[],[f294,f667]) ).
fof(f667,plain,
( spl41_36
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_36])]) ).
fof(f294,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
fof(f665,plain,
spl41_35,
inference(avatar_split_clause,[],[f293,f662]) ).
fof(f662,plain,
( spl41_35
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_35])]) ).
fof(f293,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f660,plain,
spl41_34,
inference(avatar_split_clause,[],[f292,f657]) ).
fof(f657,plain,
( spl41_34
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_34])]) ).
fof(f292,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
fof(f655,plain,
spl41_33,
inference(avatar_split_clause,[],[f291,f652]) ).
fof(f652,plain,
( spl41_33
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_33])]) ).
fof(f291,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
fof(f650,plain,
spl41_32,
inference(avatar_split_clause,[],[f290,f647]) ).
fof(f647,plain,
( spl41_32
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_32])]) ).
fof(f290,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
fof(f645,plain,
spl41_31,
inference(avatar_split_clause,[],[f289,f642]) ).
fof(f642,plain,
( spl41_31
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_31])]) ).
fof(f289,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f640,plain,
spl41_30,
inference(avatar_split_clause,[],[f288,f637]) ).
fof(f637,plain,
( spl41_30
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_30])]) ).
fof(f288,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(f635,plain,
spl41_29,
inference(avatar_split_clause,[],[f287,f632]) ).
fof(f632,plain,
( spl41_29
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_29])]) ).
fof(f287,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(f630,plain,
spl41_28,
inference(avatar_split_clause,[],[f286,f627]) ).
fof(f627,plain,
( spl41_28
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_28])]) ).
fof(f286,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(f625,plain,
spl41_27,
inference(avatar_split_clause,[],[f285,f622]) ).
fof(f622,plain,
( spl41_27
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_27])]) ).
fof(f285,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(f620,plain,
spl41_26,
inference(avatar_split_clause,[],[f284,f617]) ).
fof(f617,plain,
( spl41_26
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_26])]) ).
fof(f284,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(f615,plain,
spl41_25,
inference(avatar_split_clause,[],[f283,f612]) ).
fof(f612,plain,
( spl41_25
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_25])]) ).
fof(f283,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f610,plain,
spl41_24,
inference(avatar_split_clause,[],[f282,f607]) ).
fof(f607,plain,
( spl41_24
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f282,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135299,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_0) ).
fof(f605,plain,
spl41_23,
inference(avatar_split_clause,[],[f281,f602]) ).
fof(f602,plain,
( spl41_23
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_23])]) ).
fof(f281,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135299,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_4) ).
fof(f600,plain,
( spl41_21
| ~ spl41_22
| ~ spl41_1
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f542,f531,f481,f597,f593]) ).
fof(f593,plain,
( spl41_21
<=> init = a_select2(rho_init,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_21])]) ).
fof(f542,plain,
( ~ leq(pv10,n4)
| init = a_select2(rho_init,pv10)
| ~ spl41_1
| ~ spl41_11 ),
inference(resolution,[],[f532,f483]) ).
fof(f591,plain,
spl41_20,
inference(avatar_split_clause,[],[f280,f588]) ).
fof(f588,plain,
( spl41_20
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_20])]) ).
fof(f280,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135299,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_1) ).
fof(f586,plain,
spl41_19,
inference(avatar_split_clause,[],[f279,f583]) ).
fof(f583,plain,
( spl41_19
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_19])]) ).
fof(f279,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135299,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_2) ).
fof(f581,plain,
spl41_18,
inference(avatar_split_clause,[],[f278,f578]) ).
fof(f578,plain,
( spl41_18
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_18])]) ).
fof(f278,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135299,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_3) ).
fof(f576,plain,
spl41_17,
inference(avatar_split_clause,[],[f277,f573]) ).
fof(f573,plain,
( spl41_17
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f277,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135299,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_5) ).
fof(f571,plain,
spl41_16,
inference(avatar_split_clause,[],[f276,f568]) ).
fof(f568,plain,
( spl41_16
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f276,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135299,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_tptp_minus_1) ).
fof(f566,plain,
~ spl41_15,
inference(avatar_split_clause,[],[f275,f563]) ).
fof(f563,plain,
( spl41_15
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f275,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defuse) ).
fof(f557,plain,
spl41_14,
inference(avatar_split_clause,[],[f268,f555]) ).
fof(f555,plain,
( spl41_14
<=> ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f268,plain,
! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f194]) ).
fof(f541,plain,
spl41_13,
inference(avatar_split_clause,[],[f267,f539]) ).
fof(f267,plain,
! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) ),
inference(cnf_transformation,[],[f194]) ).
fof(f537,plain,
spl41_12,
inference(avatar_split_clause,[],[f266,f535]) ).
fof(f266,plain,
! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f194]) ).
fof(f533,plain,
spl41_11,
inference(avatar_split_clause,[],[f265,f531]) ).
fof(f265,plain,
! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f529,plain,
~ spl41_10,
inference(avatar_split_clause,[],[f274,f526]) ).
fof(f274,plain,
init != a_select2(muold_init,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f524,plain,
spl41_9,
inference(avatar_split_clause,[],[f273,f521]) ).
fof(f273,plain,
leq(sK13,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f519,plain,
spl41_8,
inference(avatar_split_clause,[],[f272,f516]) ).
fof(f272,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f514,plain,
spl41_7,
inference(avatar_split_clause,[],[f263,f511]) ).
fof(f263,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f194]) ).
fof(f509,plain,
spl41_6,
inference(avatar_split_clause,[],[f262,f506]) ).
fof(f262,plain,
leq(pv54,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f504,plain,
spl41_5,
inference(avatar_split_clause,[],[f261,f501]) ).
fof(f261,plain,
leq(pv52,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f499,plain,
spl41_4,
inference(avatar_split_clause,[],[f260,f496]) ).
fof(f260,plain,
leq(pv10,n135299),
inference(cnf_transformation,[],[f194]) ).
fof(f494,plain,
spl41_3,
inference(avatar_split_clause,[],[f259,f491]) ).
fof(f259,plain,
leq(n0,pv54),
inference(cnf_transformation,[],[f194]) ).
fof(f489,plain,
spl41_2,
inference(avatar_split_clause,[],[f258,f486]) ).
fof(f258,plain,
leq(n0,pv52),
inference(cnf_transformation,[],[f194]) ).
fof(f484,plain,
spl41_1,
inference(avatar_split_clause,[],[f257,f481]) ).
fof(f257,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV170+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 08:15:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (24220)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (24222)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (24221)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (24227)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 % (24224)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (24225)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.40 % (24223)WARNING: value z3 for option sas not known
% 0.15/0.40 % (24223)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40 % (24226)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.23/0.51 % (24225)First to succeed.
% 0.23/0.51 TRYING [1]
% 0.23/0.52 % (24225)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24220"
% 0.23/0.52 % (24225)Refutation found. Thanks to Tanya!
% 0.23/0.52 % SZS status Theorem for theBenchmark
% 0.23/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.53 % (24225)------------------------------
% 0.23/0.53 % (24225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.53 % (24225)Termination reason: Refutation
% 0.23/0.53
% 0.23/0.53 % (24225)Memory used [KB]: 3210
% 0.23/0.53 % (24225)Time elapsed: 0.132 s
% 0.23/0.53 % (24225)Instructions burned: 251 (million)
% 0.23/0.53 % (24220)Success in time 0.149 s
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