TSTP Solution File: SWV166+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV166+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:46:34 EDT 2024
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 369
% Syntax : Number of formulae : 1158 ( 326 unt; 0 def)
% Number of atoms : 4104 ( 818 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 4625 (1679 ~;1830 |; 715 &)
% ( 255 <=>; 146 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 269 ( 267 usr; 253 prp; 0-4 aty)
% Number of functors : 69 ( 69 usr; 24 con; 0-4 aty)
% Number of variables : 2099 (1942 !; 157 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3265,plain,
$false,
inference(avatar_sat_refutation,[],[f483,f488,f493,f498,f503,f508,f513,f517,f523,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f655,f660,f665,f670,f675,f680,f684,f688,f693,f699,f703,f713,f718,f725,f732,f739,f747,f752,f756,f761,f766,f771,f776,f786,f792,f816,f821,f825,f867,f871,f875,f879,f900,f906,f911,f917,f921,f926,f930,f935,f939,f944,f948,f953,f957,f962,f967,f971,f976,f980,f984,f989,f993,f998,f1002,f1007,f1011,f1017,f1021,f1025,f1030,f1034,f1039,f1043,f1048,f1052,f1057,f1061,f1066,f1070,f1075,f1079,f1084,f1088,f1093,f1097,f1102,f1106,f1111,f1115,f1120,f1124,f1129,f1133,f1138,f1142,f1147,f1151,f1155,f1159,f1163,f1167,f1171,f1175,f1179,f1183,f1187,f1195,f1203,f1211,f1219,f1227,f1236,f1240,f1248,f1256,f1264,f1272,f1280,f1288,f1296,f1304,f1312,f1317,f1325,f1333,f1341,f1349,f1357,f1365,f1373,f1381,f1437,f1510,f1514,f1521,f1525,f1529,f1533,f1537,f1541,f1545,f1549,f1553,f1558,f1857,f1861,f1865,f1931,f1936,f1967,f1972,f1981,f2013,f2017,f2089,f2095,f2100,f2105,f2109,f2115,f2119,f2123,f2179,f2185,f2191,f2195,f2298,f2304,f2310,f2351,f2355,f2359,f2363,f2367,f2371,f2375,f2379,f2383,f2387,f2393,f2399,f2404,f2408,f2412,f2416,f2420,f2424,f2433,f2505,f2511,f2547,f2552,f2557,f2563,f2615,f2691,f2697,f2703,f2707,f2779,f2788,f2826,f2832,f2838,f2842,f2914,f2920,f2923,f2928,f2932,f3000,f3007,f3043,f3049,f3092,f3107,f3111,f3115,f3120,f3124,f3134,f3169,f3263,f3264]) ).
fof(f3264,plain,
( ~ spl41_6
| spl41_7
| ~ spl41_5
| ~ spl41_49 ),
inference(avatar_split_clause,[],[f727,f723,f500,f510,f505]) ).
fof(f505,plain,
( spl41_6
<=> leq(sK13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f510,plain,
( spl41_7
<=> init = a_select2(rhoold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f500,plain,
( spl41_5
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f723,plain,
( spl41_49
<=> ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_49])]) ).
fof(f727,plain,
( init = a_select2(rhoold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_5
| ~ spl41_49 ),
inference(resolution,[],[f724,f502]) ).
fof(f502,plain,
( leq(n0,sK13)
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f724,plain,
( ! [X2] :
( ~ leq(n0,X2)
| init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4) )
| ~ spl41_49 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f3263,plain,
( ~ spl41_3
| spl41_252
| ~ spl41_2
| ~ spl41_49 ),
inference(avatar_split_clause,[],[f726,f723,f485,f3260,f490]) ).
fof(f490,plain,
( spl41_3
<=> leq(pv40,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f3260,plain,
( spl41_252
<=> init = a_select2(rhoold_init,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_252])]) ).
fof(f485,plain,
( spl41_2
<=> leq(n0,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f726,plain,
( init = a_select2(rhoold_init,pv40)
| ~ leq(pv40,n4)
| ~ spl41_2
| ~ spl41_49 ),
inference(resolution,[],[f724,f487]) ).
fof(f487,plain,
( leq(n0,pv40)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f3169,plain,
( spl41_251
| ~ spl41_243
| ~ spl41_247 ),
inference(avatar_split_clause,[],[f3116,f3113,f3085,f3167]) ).
fof(f3167,plain,
( spl41_251
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_251])]) ).
fof(f3085,plain,
( spl41_243
<=> tptp_float_0_0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_243])]) ).
fof(f3113,plain,
( spl41_247
<=> ! [X0] :
( leq(X0,n4)
| ~ leq(X0,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_247])]) ).
fof(f3116,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n4) )
| ~ spl41_243
| ~ spl41_247 ),
inference(forward_demodulation,[],[f3114,f3087]) ).
fof(f3087,plain,
( tptp_float_0_0 = sK13
| ~ spl41_243 ),
inference(avatar_component_clause,[],[f3085]) ).
fof(f3114,plain,
( ! [X0] :
( ~ leq(X0,sK13)
| leq(X0,n4) )
| ~ spl41_247 ),
inference(avatar_component_clause,[],[f3113]) ).
fof(f3134,plain,
( ~ spl41_250
| spl41_7
| ~ spl41_243 ),
inference(avatar_split_clause,[],[f3095,f3085,f510,f3131]) ).
fof(f3131,plain,
( spl41_250
<=> init = a_select2(rhoold_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_250])]) ).
fof(f3095,plain,
( init != a_select2(rhoold_init,tptp_float_0_0)
| spl41_7
| ~ spl41_243 ),
inference(superposition,[],[f512,f3087]) ).
fof(f512,plain,
( init != a_select2(rhoold_init,sK13)
| spl41_7 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f3124,plain,
( spl41_249
| ~ spl41_5
| ~ spl41_60
| ~ spl41_164 ),
inference(avatar_split_clause,[],[f1731,f1531,f789,f500,f3122]) ).
fof(f3122,plain,
( spl41_249
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_249])]) ).
fof(f789,plain,
( spl41_60
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_60])]) ).
fof(f1531,plain,
( spl41_164
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_164])]) ).
fof(f1731,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,sK13) )
| ~ spl41_5
| ~ spl41_60
| ~ spl41_164 ),
inference(forward_demodulation,[],[f1674,f791]) ).
fof(f791,plain,
( n0 = tptp_float_0_0
| ~ spl41_60 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f1674,plain,
( ! [X0] :
( leq(X0,sK13)
| ~ leq(X0,n0) )
| ~ spl41_5
| ~ spl41_164 ),
inference(resolution,[],[f1532,f502]) ).
fof(f1532,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl41_164 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f3120,plain,
( spl41_248
| ~ spl41_2
| ~ spl41_60
| ~ spl41_164 ),
inference(avatar_split_clause,[],[f1730,f1531,f789,f485,f3118]) ).
fof(f3118,plain,
( spl41_248
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,pv40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_248])]) ).
fof(f1730,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,pv40) )
| ~ spl41_2
| ~ spl41_60
| ~ spl41_164 ),
inference(forward_demodulation,[],[f1673,f791]) ).
fof(f1673,plain,
( ! [X0] :
( leq(X0,pv40)
| ~ leq(X0,n0) )
| ~ spl41_2
| ~ spl41_164 ),
inference(resolution,[],[f1532,f487]) ).
fof(f3115,plain,
( spl41_247
| ~ spl41_6
| ~ spl41_164 ),
inference(avatar_split_clause,[],[f1705,f1531,f505,f3113]) ).
fof(f1705,plain,
( ! [X0] :
( leq(X0,n4)
| ~ leq(X0,sK13) )
| ~ spl41_6
| ~ spl41_164 ),
inference(resolution,[],[f1532,f507]) ).
fof(f507,plain,
( leq(sK13,n4)
| ~ spl41_6 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f3111,plain,
( spl41_246
| ~ spl41_3
| ~ spl41_164 ),
inference(avatar_split_clause,[],[f1704,f1531,f490,f3109]) ).
fof(f3109,plain,
( spl41_246
<=> ! [X0] :
( leq(X0,n4)
| ~ leq(X0,pv40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_246])]) ).
fof(f1704,plain,
( ! [X0] :
( leq(X0,n4)
| ~ leq(X0,pv40) )
| ~ spl41_3
| ~ spl41_164 ),
inference(resolution,[],[f1532,f492]) ).
fof(f492,plain,
( leq(pv40,n4)
| ~ spl41_3 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f3107,plain,
( spl41_245
| ~ spl41_4
| ~ spl41_163 ),
inference(avatar_split_clause,[],[f1655,f1527,f495,f3105]) ).
fof(f3105,plain,
( spl41_245
<=> ! [X0] :
( gt(X0,n1)
| ~ gt(X0,loopcounter) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_245])]) ).
fof(f495,plain,
( spl41_4
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f1527,plain,
( spl41_163
<=> ! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_163])]) ).
fof(f1655,plain,
( ! [X0] :
( gt(X0,n1)
| ~ gt(X0,loopcounter) )
| ~ spl41_4
| ~ spl41_163 ),
inference(resolution,[],[f1528,f497]) ).
fof(f497,plain,
( gt(loopcounter,n1)
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f1528,plain,
( ! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) )
| ~ spl41_163 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f3092,plain,
( spl41_243
| spl41_244
| ~ spl41_5
| ~ spl41_60
| ~ spl41_162 ),
inference(avatar_split_clause,[],[f1629,f1523,f789,f500,f3089,f3085]) ).
fof(f3089,plain,
( spl41_244
<=> gt(sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_244])]) ).
fof(f1523,plain,
( spl41_162
<=> ! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_162])]) ).
fof(f1629,plain,
( gt(sK13,tptp_float_0_0)
| tptp_float_0_0 = sK13
| ~ spl41_5
| ~ spl41_60
| ~ spl41_162 ),
inference(forward_demodulation,[],[f1628,f791]) ).
fof(f1628,plain,
( tptp_float_0_0 = sK13
| gt(sK13,n0)
| ~ spl41_5
| ~ spl41_60
| ~ spl41_162 ),
inference(forward_demodulation,[],[f1570,f791]) ).
fof(f1570,plain,
( n0 = sK13
| gt(sK13,n0)
| ~ spl41_5
| ~ spl41_162 ),
inference(resolution,[],[f1524,f502]) ).
fof(f1524,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) )
| ~ spl41_162 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f3049,plain,
( spl41_242
| ~ spl41_60
| ~ spl41_241 ),
inference(avatar_split_clause,[],[f3045,f3041,f789,f3047]) ).
fof(f3047,plain,
( spl41_242
<=> ! [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_242])]) ).
fof(f3041,plain,
( spl41_241
<=> ! [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_241])]) ).
fof(f3045,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_60
| ~ spl41_241 ),
inference(forward_demodulation,[],[f3044,f791]) ).
fof(f3044,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_60
| ~ spl41_241 ),
inference(forward_demodulation,[],[f3042,f791]) ).
fof(f3042,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_241 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f3043,plain,
spl41_241,
inference(avatar_split_clause,[],[f429,f3041]) ).
fof(f429,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/sandbox2/benchmark/theBenchmark.p',matrix_symm_joseph_update) ).
fof(f3007,plain,
( spl41_240
| ~ spl41_60
| ~ spl41_239 ),
inference(avatar_split_clause,[],[f3003,f2998,f789,f3005]) ).
fof(f3005,plain,
( spl41_240
<=> ! [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_240])]) ).
fof(f2998,plain,
( spl41_239
<=> ! [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_239])]) ).
fof(f3003,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_60
| ~ spl41_239 ),
inference(forward_demodulation,[],[f3002,f791]) ).
fof(f3002,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_60
| ~ spl41_239 ),
inference(forward_demodulation,[],[f3001,f791]) ).
fof(f3001,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_60
| ~ spl41_239 ),
inference(forward_demodulation,[],[f2999,f791]) ).
fof(f2999,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_239 ),
inference(avatar_component_clause,[],[f2998]) ).
fof(f3000,plain,
spl41_239,
inference(avatar_split_clause,[],[f356,f2998]) ).
fof(f356,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/sandbox2/benchmark/theBenchmark.p',matrix_symm_update_diagonal) ).
fof(f2932,plain,
( spl41_238
| ~ spl41_60
| ~ spl41_236 ),
inference(avatar_split_clause,[],[f2922,f2918,f789,f2930]) ).
fof(f2930,plain,
( spl41_238
<=> ! [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_238])]) ).
fof(f2918,plain,
( spl41_236
<=> ! [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_236])]) ).
fof(f2922,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_60
| ~ spl41_236 ),
inference(forward_demodulation,[],[f2921,f791]) ).
fof(f2921,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_60
| ~ spl41_236 ),
inference(forward_demodulation,[],[f2919,f791]) ).
fof(f2919,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_236 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f2928,plain,
( spl41_237
| ~ spl41_60
| ~ spl41_235 ),
inference(avatar_split_clause,[],[f2916,f2912,f789,f2926]) ).
fof(f2926,plain,
( spl41_237
<=> ! [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_237])]) ).
fof(f2912,plain,
( spl41_235
<=> ! [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_235])]) ).
fof(f2916,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_60
| ~ spl41_235 ),
inference(forward_demodulation,[],[f2915,f791]) ).
fof(f2915,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_60
| ~ spl41_235 ),
inference(forward_demodulation,[],[f2913,f791]) ).
fof(f2913,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_235 ),
inference(avatar_component_clause,[],[f2912]) ).
fof(f2923,plain,
( spl41_149
| ~ spl41_15
| ~ spl41_216 ),
inference(avatar_split_clause,[],[f2566,f2426,f552,f1314]) ).
fof(f1314,plain,
( spl41_149
<=> init = a_select2(rho_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_149])]) ).
fof(f552,plain,
( spl41_15
<=> init = a_select2(rho_init,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f2426,plain,
( spl41_216
<=> tptp_float_0_0 = pv40 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_216])]) ).
fof(f2566,plain,
( init = a_select2(rho_init,tptp_float_0_0)
| ~ spl41_15
| ~ spl41_216 ),
inference(superposition,[],[f554,f2428]) ).
fof(f2428,plain,
( tptp_float_0_0 = pv40
| ~ spl41_216 ),
inference(avatar_component_clause,[],[f2426]) ).
fof(f554,plain,
( init = a_select2(rho_init,pv40)
| ~ spl41_15 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f2920,plain,
spl41_236,
inference(avatar_split_clause,[],[f404,f2918]) ).
fof(f404,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/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba2) ).
fof(f2914,plain,
spl41_235,
inference(avatar_split_clause,[],[f393,f2912]) ).
fof(f393,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/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba1) ).
fof(f2842,plain,
( spl41_234
| ~ spl41_60
| ~ spl41_232 ),
inference(avatar_split_clause,[],[f2834,f2830,f789,f2840]) ).
fof(f2840,plain,
( spl41_234
<=> ! [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_234])]) ).
fof(f2830,plain,
( spl41_232
<=> ! [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_232])]) ).
fof(f2834,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_60
| ~ spl41_232 ),
inference(forward_demodulation,[],[f2833,f791]) ).
fof(f2833,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_60
| ~ spl41_232 ),
inference(forward_demodulation,[],[f2831,f791]) ).
fof(f2831,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_232 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f2838,plain,
( spl41_233
| ~ spl41_60
| ~ spl41_231 ),
inference(avatar_split_clause,[],[f2828,f2824,f789,f2836]) ).
fof(f2836,plain,
( spl41_233
<=> ! [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_233])]) ).
fof(f2824,plain,
( spl41_231
<=> ! [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_231])]) ).
fof(f2828,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_60
| ~ spl41_231 ),
inference(forward_demodulation,[],[f2827,f791]) ).
fof(f2827,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_60
| ~ spl41_231 ),
inference(forward_demodulation,[],[f2825,f791]) ).
fof(f2825,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_231 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f2832,plain,
spl41_232,
inference(avatar_split_clause,[],[f387,f2830]) ).
fof(f387,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/sandbox2/benchmark/theBenchmark.p',matrix_symm_add) ).
fof(f2826,plain,
spl41_231,
inference(avatar_split_clause,[],[f376,f2824]) ).
fof(f376,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/sandbox2/benchmark/theBenchmark.p',matrix_symm_sub) ).
fof(f2788,plain,
( spl41_230
| ~ spl41_60
| ~ spl41_229 ),
inference(avatar_split_clause,[],[f2781,f2777,f789,f2786]) ).
fof(f2786,plain,
( spl41_230
<=> ! [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_230])]) ).
fof(f2777,plain,
( spl41_229
<=> ! [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_229])]) ).
fof(f2781,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_60
| ~ spl41_229 ),
inference(forward_demodulation,[],[f2780,f791]) ).
fof(f2780,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_60
| ~ spl41_229 ),
inference(forward_demodulation,[],[f2778,f791]) ).
fof(f2778,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_229 ),
inference(avatar_component_clause,[],[f2777]) ).
fof(f2779,plain,
spl41_229,
inference(avatar_split_clause,[],[f411,f2777]) ).
fof(f411,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/sandbox2/benchmark/theBenchmark.p',sel3_update_3) ).
fof(f2707,plain,
( spl41_228
| ~ spl41_60
| ~ spl41_226 ),
inference(avatar_split_clause,[],[f2699,f2695,f789,f2705]) ).
fof(f2705,plain,
( spl41_228
<=> ! [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_228])]) ).
fof(f2695,plain,
( spl41_226
<=> ! [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_226])]) ).
fof(f2699,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_60
| ~ spl41_226 ),
inference(forward_demodulation,[],[f2698,f791]) ).
fof(f2698,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_60
| ~ spl41_226 ),
inference(forward_demodulation,[],[f2696,f791]) ).
fof(f2696,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_226 ),
inference(avatar_component_clause,[],[f2695]) ).
fof(f2703,plain,
( spl41_227
| ~ spl41_60
| ~ spl41_225 ),
inference(avatar_split_clause,[],[f2693,f2689,f789,f2701]) ).
fof(f2701,plain,
( spl41_227
<=> ! [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_227])]) ).
fof(f2689,plain,
( spl41_225
<=> ! [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_225])]) ).
fof(f2693,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_60
| ~ spl41_225 ),
inference(forward_demodulation,[],[f2692,f791]) ).
fof(f2692,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_60
| ~ spl41_225 ),
inference(forward_demodulation,[],[f2690,f791]) ).
fof(f2690,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_225 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f2697,plain,
spl41_226,
inference(avatar_split_clause,[],[f350,f2695]) ).
fof(f350,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/sandbox2/benchmark/theBenchmark.p',matrix_symm_trans) ).
fof(f2691,plain,
spl41_225,
inference(avatar_split_clause,[],[f344,f2689]) ).
fof(f344,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/sandbox2/benchmark/theBenchmark.p',matrix_symm_inv) ).
fof(f2615,plain,
spl41_224,
inference(avatar_split_clause,[],[f413,f2613]) ).
fof(f2613,plain,
( spl41_224
<=> ! [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_224])]) ).
fof(f413,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/sandbox2/benchmark/theBenchmark.p',const_array2_select) ).
fof(f2563,plain,
( spl41_223
| ~ spl41_60
| ~ spl41_222 ),
inference(avatar_split_clause,[],[f2559,f2555,f789,f2561]) ).
fof(f2561,plain,
( spl41_223
<=> ! [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_223])]) ).
fof(f2555,plain,
( spl41_222
<=> ! [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_222])]) ).
fof(f2559,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_60
| ~ spl41_222 ),
inference(forward_demodulation,[],[f2558,f791]) ).
fof(f2558,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl41_60
| ~ spl41_222 ),
inference(forward_demodulation,[],[f2556,f791]) ).
fof(f2556,plain,
( ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl41_222 ),
inference(avatar_component_clause,[],[f2555]) ).
fof(f2557,plain,
spl41_222,
inference(avatar_split_clause,[],[f325,f2555]) ).
fof(f325,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/sandbox2/benchmark/theBenchmark.p',finite_domain_5) ).
fof(f2552,plain,
( spl41_221
| ~ spl41_60
| ~ spl41_220 ),
inference(avatar_split_clause,[],[f2548,f2545,f789,f2550]) ).
fof(f2550,plain,
( spl41_221
<=> ! [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_221])]) ).
fof(f2545,plain,
( spl41_220
<=> ! [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_220])]) ).
fof(f2548,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_60
| ~ spl41_220 ),
inference(forward_demodulation,[],[f2546,f791]) ).
fof(f2546,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_220 ),
inference(avatar_component_clause,[],[f2545]) ).
fof(f2547,plain,
spl41_220,
inference(avatar_split_clause,[],[f398,f2545]) ).
fof(f398,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/sandbox2/benchmark/theBenchmark.p',sel2_update_3) ).
fof(f2511,plain,
( spl41_219
| ~ spl41_60
| ~ spl41_218 ),
inference(avatar_split_clause,[],[f2507,f2503,f789,f2509]) ).
fof(f2509,plain,
( spl41_219
<=> ! [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_219])]) ).
fof(f2503,plain,
( spl41_218
<=> ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_218])]) ).
fof(f2507,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_60
| ~ spl41_218 ),
inference(forward_demodulation,[],[f2506,f791]) ).
fof(f2506,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl41_60
| ~ spl41_218 ),
inference(forward_demodulation,[],[f2504,f791]) ).
fof(f2504,plain,
( ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl41_218 ),
inference(avatar_component_clause,[],[f2503]) ).
fof(f2505,plain,
spl41_218,
inference(avatar_split_clause,[],[f329,f2503]) ).
fof(f329,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/sandbox2/benchmark/theBenchmark.p',finite_domain_4) ).
fof(f2433,plain,
( spl41_216
| spl41_217
| ~ spl41_2
| ~ spl41_60
| ~ spl41_162 ),
inference(avatar_split_clause,[],[f1627,f1523,f789,f485,f2430,f2426]) ).
fof(f2430,plain,
( spl41_217
<=> gt(pv40,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_217])]) ).
fof(f1627,plain,
( gt(pv40,tptp_float_0_0)
| tptp_float_0_0 = pv40
| ~ spl41_2
| ~ spl41_60
| ~ spl41_162 ),
inference(forward_demodulation,[],[f1626,f791]) ).
fof(f1626,plain,
( tptp_float_0_0 = pv40
| gt(pv40,n0)
| ~ spl41_2
| ~ spl41_60
| ~ spl41_162 ),
inference(forward_demodulation,[],[f1569,f791]) ).
fof(f1569,plain,
( n0 = pv40
| gt(pv40,n0)
| ~ spl41_2
| ~ spl41_162 ),
inference(resolution,[],[f1524,f487]) ).
fof(f2424,plain,
( spl41_215
| ~ spl41_60
| ~ spl41_209 ),
inference(avatar_split_clause,[],[f2400,f2397,f789,f2422]) ).
fof(f2422,plain,
( spl41_215
<=> ! [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_215])]) ).
fof(f2397,plain,
( spl41_209
<=> ! [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_209])]) ).
fof(f2400,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_60
| ~ spl41_209 ),
inference(forward_demodulation,[],[f2398,f791]) ).
fof(f2398,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_209 ),
inference(avatar_component_clause,[],[f2397]) ).
fof(f2420,plain,
( spl41_214
| ~ spl41_60
| ~ spl41_208 ),
inference(avatar_split_clause,[],[f2395,f2391,f789,f2418]) ).
fof(f2418,plain,
( spl41_214
<=> ! [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_214])]) ).
fof(f2391,plain,
( spl41_208
<=> ! [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_208])]) ).
fof(f2395,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_60
| ~ spl41_208 ),
inference(forward_demodulation,[],[f2394,f791]) ).
fof(f2394,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_60
| ~ spl41_208 ),
inference(forward_demodulation,[],[f2392,f791]) ).
fof(f2392,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_208 ),
inference(avatar_component_clause,[],[f2391]) ).
fof(f2416,plain,
spl41_213,
inference(avatar_split_clause,[],[f428,f2414]) ).
fof(f2414,plain,
( spl41_213
<=> ! [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_213])]) ).
fof(f428,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(f2412,plain,
spl41_212,
inference(avatar_split_clause,[],[f423,f2410]) ).
fof(f2410,plain,
( spl41_212
<=> ! [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_212])]) ).
fof(f423,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(f2408,plain,
spl41_211,
inference(avatar_split_clause,[],[f418,f2406]) ).
fof(f2406,plain,
( spl41_211
<=> ! [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_211])]) ).
fof(f418,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(f2404,plain,
spl41_210,
inference(avatar_split_clause,[],[f403,f2402]) ).
fof(f2402,plain,
( spl41_210
<=> ! [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_210])]) ).
fof(f403,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(f2399,plain,
spl41_209,
inference(avatar_split_clause,[],[f397,f2397]) ).
fof(f397,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(f2393,plain,
spl41_208,
inference(avatar_split_clause,[],[f396,f2391]) ).
fof(f396,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(f2387,plain,
spl41_207,
inference(avatar_split_clause,[],[f392,f2385]) ).
fof(f2385,plain,
( spl41_207
<=> ! [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_207])]) ).
fof(f392,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(f2383,plain,
spl41_206,
inference(avatar_split_clause,[],[f386,f2381]) ).
fof(f2381,plain,
( spl41_206
<=> ! [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_206])]) ).
fof(f386,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(f2379,plain,
spl41_205,
inference(avatar_split_clause,[],[f381,f2377]) ).
fof(f2377,plain,
( spl41_205
<=> ! [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_205])]) ).
fof(f381,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(f2375,plain,
spl41_204,
inference(avatar_split_clause,[],[f375,f2373]) ).
fof(f2373,plain,
( spl41_204
<=> ! [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_204])]) ).
fof(f375,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(f2371,plain,
spl41_203,
inference(avatar_split_clause,[],[f370,f2369]) ).
fof(f2369,plain,
( spl41_203
<=> ! [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_203])]) ).
fof(f370,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(f2367,plain,
spl41_202,
inference(avatar_split_clause,[],[f355,f2365]) ).
fof(f2365,plain,
( spl41_202
<=> ! [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_202])]) ).
fof(f355,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(f2363,plain,
spl41_201,
inference(avatar_split_clause,[],[f349,f2361]) ).
fof(f2361,plain,
( spl41_201
<=> ! [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_201])]) ).
fof(f349,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(f2359,plain,
spl41_200,
inference(avatar_split_clause,[],[f343,f2357]) ).
fof(f2357,plain,
( spl41_200
<=> ! [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_200])]) ).
fof(f343,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(f2355,plain,
spl41_199,
inference(avatar_split_clause,[],[f410,f2353]) ).
fof(f2353,plain,
( spl41_199
<=> ! [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_199])]) ).
fof(f410,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(f2351,plain,
( spl41_197
| spl41_198
| ~ spl41_6
| ~ spl41_162 ),
inference(avatar_split_clause,[],[f1601,f1523,f505,f2348,f2344]) ).
fof(f2344,plain,
( spl41_197
<=> gt(n4,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_197])]) ).
fof(f2348,plain,
( spl41_198
<=> n4 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_198])]) ).
fof(f1601,plain,
( n4 = sK13
| gt(n4,sK13)
| ~ spl41_6
| ~ spl41_162 ),
inference(resolution,[],[f1524,f507]) ).
fof(f2310,plain,
( spl41_196
| ~ spl41_60
| ~ spl41_195 ),
inference(avatar_split_clause,[],[f2306,f2302,f789,f2308]) ).
fof(f2308,plain,
( spl41_196
<=> ! [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_196])]) ).
fof(f2302,plain,
( spl41_195
<=> ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_195])]) ).
fof(f2306,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) )
| ~ spl41_60
| ~ spl41_195 ),
inference(forward_demodulation,[],[f2305,f791]) ).
fof(f2305,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl41_60
| ~ spl41_195 ),
inference(forward_demodulation,[],[f2303,f791]) ).
fof(f2303,plain,
( ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl41_195 ),
inference(avatar_component_clause,[],[f2302]) ).
fof(f2304,plain,
spl41_195,
inference(avatar_split_clause,[],[f326,f2302]) ).
fof(f326,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/sandbox2/benchmark/theBenchmark.p',finite_domain_3) ).
fof(f2298,plain,
spl41_194,
inference(avatar_split_clause,[],[f460,f2296]) ).
fof(f2296,plain,
( spl41_194
<=> ! [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_194])]) ).
fof(f460,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,[],[f459]) ).
fof(f459,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,[],[f412]) ).
fof(f412,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/sandbox2/benchmark/theBenchmark.p',sel3_update_2) ).
fof(f2195,plain,
( spl41_193
| ~ spl41_60
| ~ spl41_191 ),
inference(avatar_split_clause,[],[f2187,f2183,f789,f2193]) ).
fof(f2193,plain,
( spl41_193
<=> ! [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_193])]) ).
fof(f2183,plain,
( spl41_191
<=> ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_191])]) ).
fof(f2187,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) )
| ~ spl41_60
| ~ spl41_191 ),
inference(forward_demodulation,[],[f2186,f791]) ).
fof(f2186,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl41_60
| ~ spl41_191 ),
inference(forward_demodulation,[],[f2184,f791]) ).
fof(f2184,plain,
( ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl41_191 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f2191,plain,
spl41_192,
inference(avatar_split_clause,[],[f395,f2189]) ).
fof(f2189,plain,
( spl41_192
<=> ! [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_192])]) ).
fof(f395,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/sandbox2/benchmark/theBenchmark.p',const_array1_select) ).
fof(f2185,plain,
spl41_191,
inference(avatar_split_clause,[],[f327,f2183]) ).
fof(f327,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/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f2179,plain,
spl41_190,
inference(avatar_split_clause,[],[f458,f2177]) ).
fof(f2177,plain,
( spl41_190
<=> ! [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_190])]) ).
fof(f458,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f405]) ).
fof(f405,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/sandbox2/benchmark/theBenchmark.p',sel2_update_2) ).
fof(f2123,plain,
( spl41_189
| ~ spl41_60
| ~ spl41_184 ),
inference(avatar_split_clause,[],[f2101,f2098,f789,f2121]) ).
fof(f2121,plain,
( spl41_189
<=> ! [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_189])]) ).
fof(f2098,plain,
( spl41_184
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_184])]) ).
fof(f2101,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_60
| ~ spl41_184 ),
inference(forward_demodulation,[],[f2099,f791]) ).
fof(f2099,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_184 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f2119,plain,
( spl41_188
| ~ spl41_60
| ~ spl41_183 ),
inference(avatar_split_clause,[],[f2096,f2093,f789,f2117]) ).
fof(f2117,plain,
( spl41_188
<=> ! [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_188])]) ).
fof(f2093,plain,
( spl41_183
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_183])]) ).
fof(f2096,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_60
| ~ spl41_183 ),
inference(forward_demodulation,[],[f2094,f791]) ).
fof(f2094,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_183 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f2115,plain,
( spl41_187
| ~ spl41_60
| ~ spl41_182 ),
inference(avatar_split_clause,[],[f2091,f2087,f789,f2113]) ).
fof(f2113,plain,
( spl41_187
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_187])]) ).
fof(f2087,plain,
( spl41_182
<=> ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_182])]) ).
fof(f2091,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) )
| ~ spl41_60
| ~ spl41_182 ),
inference(forward_demodulation,[],[f2090,f791]) ).
fof(f2090,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl41_60
| ~ spl41_182 ),
inference(forward_demodulation,[],[f2088,f791]) ).
fof(f2088,plain,
( ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl41_182 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f2109,plain,
spl41_186,
inference(avatar_split_clause,[],[f409,f2107]) ).
fof(f2107,plain,
( spl41_186
<=> ! [X0,X3,X2,X1] :
( leq(sK34(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_186])]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( leq(sK34(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f2105,plain,
spl41_185,
inference(avatar_split_clause,[],[f408,f2103]) ).
fof(f2103,plain,
( spl41_185
<=> ! [X0,X3,X2,X1] :
( leq(sK33(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_185])]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( leq(sK33(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f2100,plain,
spl41_184,
inference(avatar_split_clause,[],[f407,f2098]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f2095,plain,
spl41_183,
inference(avatar_split_clause,[],[f406,f2093]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f2089,plain,
spl41_182,
inference(avatar_split_clause,[],[f328,f2087]) ).
fof(f328,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/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f2017,plain,
spl41_181,
inference(avatar_split_clause,[],[f478,f2015]) ).
fof(f2015,plain,
( spl41_181
<=> ! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_181])]) ).
fof(f478,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f477,f442]) ).
fof(f442,plain,
! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f317,f313,f313]) ).
fof(f313,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f317,plain,
! [X0] : succ(succ(X0)) = plus(n2,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : succ(succ(X0)) = plus(n2,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_l) ).
fof(f477,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f449,f442]) ).
fof(f449,plain,
! [X0] : plus(n5,X0) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f324,f313,f313,f313,f313,f313]) ).
fof(f324,plain,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_l) ).
fof(f2013,plain,
spl41_180,
inference(avatar_split_clause,[],[f476,f2011]) ).
fof(f2011,plain,
( spl41_180
<=> ! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_180])]) ).
fof(f476,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f475,f442]) ).
fof(f475,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f448,f442]) ).
fof(f448,plain,
! [X0] : plus(X0,n5) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f323,f313,f313,f313,f313,f313]) ).
fof(f323,plain,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_r) ).
fof(f1981,plain,
( spl41_178
| spl41_179
| ~ spl41_3
| ~ spl41_162 ),
inference(avatar_split_clause,[],[f1600,f1523,f490,f1978,f1974]) ).
fof(f1974,plain,
( spl41_178
<=> gt(n4,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_178])]) ).
fof(f1978,plain,
( spl41_179
<=> n4 = pv40 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_179])]) ).
fof(f1600,plain,
( n4 = pv40
| gt(n4,pv40)
| ~ spl41_3
| ~ spl41_162 ),
inference(resolution,[],[f1524,f492]) ).
fof(f1972,plain,
( spl41_177
| ~ spl41_165
| ~ spl41_167
| ~ spl41_176 ),
inference(avatar_split_clause,[],[f1968,f1965,f1543,f1535,f1970]) ).
fof(f1970,plain,
( spl41_177
<=> ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_177])]) ).
fof(f1535,plain,
( spl41_165
<=> ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_165])]) ).
fof(f1543,plain,
( spl41_167
<=> ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_167])]) ).
fof(f1965,plain,
( spl41_176
<=> ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_176])]) ).
fof(f1968,plain,
( ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1)
| ~ spl41_165
| ~ spl41_167
| ~ spl41_176 ),
inference(forward_demodulation,[],[f1966,f1751]) ).
fof(f1751,plain,
( ! [X0] : plus(X0,n3) = plus(n2,plus(X0,n1))
| ~ spl41_165
| ~ spl41_167 ),
inference(forward_demodulation,[],[f1735,f1544]) ).
fof(f1544,plain,
( ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1)
| ~ spl41_167 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f1735,plain,
( ! [X0] : plus(n2,plus(X0,n1)) = plus(plus(n2,X0),n1)
| ~ spl41_165 ),
inference(superposition,[],[f1536,f1536]) ).
fof(f1536,plain,
( ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1)
| ~ spl41_165 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f1966,plain,
( ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl41_176 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f1967,plain,
spl41_176,
inference(avatar_split_clause,[],[f474,f1965]) ).
fof(f474,plain,
! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f447,f442]) ).
fof(f447,plain,
! [X0] : plus(n4,X0) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f322,f313,f313,f313,f313]) ).
fof(f322,plain,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_l) ).
fof(f1936,plain,
( spl41_175
| ~ spl41_165
| ~ spl41_167
| ~ spl41_174 ),
inference(avatar_split_clause,[],[f1932,f1929,f1543,f1535,f1934]) ).
fof(f1934,plain,
( spl41_175
<=> ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_175])]) ).
fof(f1929,plain,
( spl41_174
<=> ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_174])]) ).
fof(f1932,plain,
( ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1)
| ~ spl41_165
| ~ spl41_167
| ~ spl41_174 ),
inference(forward_demodulation,[],[f1930,f1751]) ).
fof(f1930,plain,
( ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl41_174 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f1931,plain,
spl41_174,
inference(avatar_split_clause,[],[f473,f1929]) ).
fof(f473,plain,
! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f446,f442]) ).
fof(f446,plain,
! [X0] : plus(X0,n4) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f321,f313,f313,f313,f313]) ).
fof(f321,plain,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_r) ).
fof(f1865,plain,
spl41_173,
inference(avatar_split_clause,[],[f457,f1863]) ).
fof(f1863,plain,
( spl41_173
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_173])]) ).
fof(f457,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ),
inference(definition_unfolding,[],[f361,f313,f313]) ).
fof(f361,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/sandbox2/benchmark/theBenchmark.p',leq_succ_succ) ).
fof(f1861,plain,
spl41_172,
inference(avatar_split_clause,[],[f456,f1859]) ).
fof(f1859,plain,
( spl41_172
<=> ! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_172])]) ).
fof(f456,plain,
! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f362,f313,f313]) ).
fof(f362,plain,
! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f1857,plain,
spl41_171,
inference(avatar_split_clause,[],[f394,f1855]) ).
fof(f1855,plain,
( spl41_171
<=> ! [X2,X0,X1,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_171])]) ).
fof(f394,plain,
! [X2,X3,X0,X1] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X6,X23,X16] : a_select3(tptp_update3(X0,X6,X23,X16),X6,X23) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_1) ).
fof(f1558,plain,
( ~ spl41_6
| spl41_170
| ~ spl41_5
| ~ spl41_48 ),
inference(avatar_split_clause,[],[f720,f716,f500,f1555,f505]) ).
fof(f1555,plain,
( spl41_170
<=> init = a_select2(muold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_170])]) ).
fof(f716,plain,
( spl41_48
<=> ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_48])]) ).
fof(f720,plain,
( init = a_select2(muold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_5
| ~ spl41_48 ),
inference(resolution,[],[f717,f502]) ).
fof(f717,plain,
( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(muold_init,X3)
| ~ leq(X3,n4) )
| ~ spl41_48 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f1553,plain,
( spl41_169
| ~ spl41_60
| ~ spl41_160 ),
inference(avatar_split_clause,[],[f1517,f1512,f789,f1551]) ).
fof(f1551,plain,
( spl41_169
<=> ! [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_169])]) ).
fof(f1512,plain,
( spl41_160
<=> ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_160])]) ).
fof(f1517,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 )
| ~ spl41_60
| ~ spl41_160 ),
inference(forward_demodulation,[],[f1516,f791]) ).
fof(f1516,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0
| ~ leq(n0,X0) )
| ~ spl41_60
| ~ spl41_160 ),
inference(forward_demodulation,[],[f1515,f791]) ).
fof(f1515,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl41_60
| ~ spl41_160 ),
inference(forward_demodulation,[],[f1513,f791]) ).
fof(f1513,plain,
( ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl41_160 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1549,plain,
spl41_168,
inference(avatar_split_clause,[],[f472,f1547]) ).
fof(f1547,plain,
( spl41_168
<=> ! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_168])]) ).
fof(f472,plain,
! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f445,f442]) ).
fof(f445,plain,
! [X0] : plus(n3,X0) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f320,f313,f313,f313]) ).
fof(f320,plain,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_l) ).
fof(f1545,plain,
spl41_167,
inference(avatar_split_clause,[],[f471,f1543]) ).
fof(f471,plain,
! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f444,f442]) ).
fof(f444,plain,
! [X0] : plus(X0,n3) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f319,f313,f313,f313]) ).
fof(f319,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_r) ).
fof(f1541,plain,
spl41_166,
inference(avatar_split_clause,[],[f443,f1539]) ).
fof(f1539,plain,
( spl41_166
<=> ! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_166])]) ).
fof(f443,plain,
! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f318,f313,f313]) ).
fof(f318,plain,
! [X0] : plus(X0,n2) = succ(succ(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : plus(X0,n2) = succ(succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_r) ).
fof(f1537,plain,
spl41_165,
inference(avatar_split_clause,[],[f442,f1535]) ).
fof(f1533,plain,
spl41_164,
inference(avatar_split_clause,[],[f365,f1531]) ).
fof(f365,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/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f1529,plain,
spl41_163,
inference(avatar_split_clause,[],[f364,f1527]) ).
fof(f364,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/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f1525,plain,
spl41_162,
inference(avatar_split_clause,[],[f338,f1523]) ).
fof(f338,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/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f1521,plain,
spl41_161,
inference(avatar_split_clause,[],[f331,f1519]) ).
fof(f1519,plain,
( spl41_161
<=> ! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_161])]) ).
fof(f331,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f1514,plain,
spl41_160,
inference(avatar_split_clause,[],[f330,f1512]) ).
fof(f330,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/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f1510,plain,
( ~ spl41_3
| spl41_159
| ~ spl41_2
| ~ spl41_48 ),
inference(avatar_split_clause,[],[f719,f716,f485,f1507,f490]) ).
fof(f1507,plain,
( spl41_159
<=> init = a_select2(muold_init,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_159])]) ).
fof(f719,plain,
( init = a_select2(muold_init,pv40)
| ~ leq(pv40,n4)
| ~ spl41_2
| ~ spl41_48 ),
inference(resolution,[],[f717,f487]) ).
fof(f1437,plain,
( spl41_158
| ~ spl41_43
| ~ spl41_60 ),
inference(avatar_split_clause,[],[f805,f789,f690,f1434]) ).
fof(f1434,plain,
( spl41_158
<=> init = a_select3(center_init,pv40,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_158])]) ).
fof(f690,plain,
( spl41_43
<=> init = a_select3(center_init,pv40,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_43])]) ).
fof(f805,plain,
( init = a_select3(center_init,pv40,tptp_float_0_0)
| ~ spl41_43
| ~ spl41_60 ),
inference(superposition,[],[f692,f791]) ).
fof(f692,plain,
( init = a_select3(center_init,pv40,n0)
| ~ spl41_43 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f1381,plain,
( spl41_157
| ~ spl41_60
| ~ spl41_121 ),
inference(avatar_split_clause,[],[f1143,f1140,f789,f1379]) ).
fof(f1379,plain,
( spl41_157
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_157])]) ).
fof(f1140,plain,
( spl41_121
<=> ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_121])]) ).
fof(f1143,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_60
| ~ spl41_121 ),
inference(forward_demodulation,[],[f1141,f791]) ).
fof(f1141,plain,
( ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_121 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1373,plain,
( spl41_156
| ~ spl41_60
| ~ spl41_119 ),
inference(avatar_split_clause,[],[f1134,f1131,f789,f1371]) ).
fof(f1371,plain,
( spl41_156
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_156])]) ).
fof(f1131,plain,
( spl41_119
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_119])]) ).
fof(f1134,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_60
| ~ spl41_119 ),
inference(forward_demodulation,[],[f1132,f791]) ).
fof(f1132,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_119 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1365,plain,
( spl41_155
| ~ spl41_60
| ~ spl41_117 ),
inference(avatar_split_clause,[],[f1125,f1122,f789,f1363]) ).
fof(f1363,plain,
( spl41_155
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_155])]) ).
fof(f1122,plain,
( spl41_117
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_117])]) ).
fof(f1125,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_60
| ~ spl41_117 ),
inference(forward_demodulation,[],[f1123,f791]) ).
fof(f1123,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_117 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1357,plain,
( spl41_154
| ~ spl41_60
| ~ spl41_115 ),
inference(avatar_split_clause,[],[f1116,f1113,f789,f1355]) ).
fof(f1355,plain,
( spl41_154
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_154])]) ).
fof(f1113,plain,
( spl41_115
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_115])]) ).
fof(f1116,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_60
| ~ spl41_115 ),
inference(forward_demodulation,[],[f1114,f791]) ).
fof(f1114,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_115 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1349,plain,
( spl41_153
| ~ spl41_60
| ~ spl41_113 ),
inference(avatar_split_clause,[],[f1107,f1104,f789,f1347]) ).
fof(f1347,plain,
( spl41_153
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_153])]) ).
fof(f1104,plain,
( spl41_113
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_113])]) ).
fof(f1107,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_60
| ~ spl41_113 ),
inference(forward_demodulation,[],[f1105,f791]) ).
fof(f1105,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_113 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1341,plain,
( spl41_152
| ~ spl41_60
| ~ spl41_111 ),
inference(avatar_split_clause,[],[f1098,f1095,f789,f1339]) ).
fof(f1339,plain,
( spl41_152
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_152])]) ).
fof(f1095,plain,
( spl41_111
<=> ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_111])]) ).
fof(f1098,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_60
| ~ spl41_111 ),
inference(forward_demodulation,[],[f1096,f791]) ).
fof(f1096,plain,
( ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_111 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1333,plain,
( spl41_151
| ~ spl41_60
| ~ spl41_109 ),
inference(avatar_split_clause,[],[f1089,f1086,f789,f1331]) ).
fof(f1331,plain,
( spl41_151
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_151])]) ).
fof(f1086,plain,
( spl41_109
<=> ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_109])]) ).
fof(f1089,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_60
| ~ spl41_109 ),
inference(forward_demodulation,[],[f1087,f791]) ).
fof(f1087,plain,
( ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_109 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1325,plain,
( spl41_150
| ~ spl41_60
| ~ spl41_107 ),
inference(avatar_split_clause,[],[f1080,f1077,f789,f1323]) ).
fof(f1323,plain,
( spl41_150
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_150])]) ).
fof(f1077,plain,
( spl41_107
<=> ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_107])]) ).
fof(f1080,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_60
| ~ spl41_107 ),
inference(forward_demodulation,[],[f1078,f791]) ).
fof(f1078,plain,
( ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_107 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1317,plain,
( ~ spl41_149
| spl41_46
| ~ spl41_60 ),
inference(avatar_split_clause,[],[f806,f789,f706,f1314]) ).
fof(f706,plain,
( spl41_46
<=> init = a_select2(rho_init,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_46])]) ).
fof(f806,plain,
( init != a_select2(rho_init,tptp_float_0_0)
| spl41_46
| ~ spl41_60 ),
inference(superposition,[],[f707,f791]) ).
fof(f707,plain,
( init != a_select2(rho_init,n0)
| spl41_46 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f1312,plain,
( spl41_148
| ~ spl41_60
| ~ spl41_105 ),
inference(avatar_split_clause,[],[f1071,f1068,f789,f1310]) ).
fof(f1310,plain,
( spl41_148
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_148])]) ).
fof(f1068,plain,
( spl41_105
<=> ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_105])]) ).
fof(f1071,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_60
| ~ spl41_105 ),
inference(forward_demodulation,[],[f1069,f791]) ).
fof(f1069,plain,
( ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_105 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1304,plain,
( spl41_147
| ~ spl41_60
| ~ spl41_103 ),
inference(avatar_split_clause,[],[f1062,f1059,f789,f1302]) ).
fof(f1302,plain,
( spl41_147
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_147])]) ).
fof(f1059,plain,
( spl41_103
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_103])]) ).
fof(f1062,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_60
| ~ spl41_103 ),
inference(forward_demodulation,[],[f1060,f791]) ).
fof(f1060,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_103 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1296,plain,
( spl41_146
| ~ spl41_60
| ~ spl41_101 ),
inference(avatar_split_clause,[],[f1053,f1050,f789,f1294]) ).
fof(f1294,plain,
( spl41_146
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_146])]) ).
fof(f1050,plain,
( spl41_101
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_101])]) ).
fof(f1053,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_60
| ~ spl41_101 ),
inference(forward_demodulation,[],[f1051,f791]) ).
fof(f1051,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_101 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1288,plain,
( spl41_145
| ~ spl41_60
| ~ spl41_99 ),
inference(avatar_split_clause,[],[f1044,f1041,f789,f1286]) ).
fof(f1286,plain,
( spl41_145
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_145])]) ).
fof(f1041,plain,
( spl41_99
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_99])]) ).
fof(f1044,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_60
| ~ spl41_99 ),
inference(forward_demodulation,[],[f1042,f791]) ).
fof(f1042,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_99 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1280,plain,
( spl41_144
| ~ spl41_60
| ~ spl41_97 ),
inference(avatar_split_clause,[],[f1035,f1032,f789,f1278]) ).
fof(f1278,plain,
( spl41_144
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_144])]) ).
fof(f1032,plain,
( spl41_97
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_97])]) ).
fof(f1035,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_60
| ~ spl41_97 ),
inference(forward_demodulation,[],[f1033,f791]) ).
fof(f1033,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_97 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1272,plain,
( spl41_143
| ~ spl41_60
| ~ spl41_95 ),
inference(avatar_split_clause,[],[f1026,f1023,f789,f1270]) ).
fof(f1270,plain,
( spl41_143
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_143])]) ).
fof(f1023,plain,
( spl41_95
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_95])]) ).
fof(f1026,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_60
| ~ spl41_95 ),
inference(forward_demodulation,[],[f1024,f791]) ).
fof(f1024,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_95 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1264,plain,
( spl41_142
| ~ spl41_60
| ~ spl41_92 ),
inference(avatar_split_clause,[],[f1012,f1009,f789,f1262]) ).
fof(f1262,plain,
( spl41_142
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_142])]) ).
fof(f1009,plain,
( spl41_92
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_92])]) ).
fof(f1012,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_60
| ~ spl41_92 ),
inference(forward_demodulation,[],[f1010,f791]) ).
fof(f1010,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_92 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1256,plain,
( spl41_141
| ~ spl41_60
| ~ spl41_90 ),
inference(avatar_split_clause,[],[f1003,f1000,f789,f1254]) ).
fof(f1254,plain,
( spl41_141
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_141])]) ).
fof(f1000,plain,
( spl41_90
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_90])]) ).
fof(f1003,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_60
| ~ spl41_90 ),
inference(forward_demodulation,[],[f1001,f791]) ).
fof(f1001,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_90 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1248,plain,
( spl41_140
| ~ spl41_60
| ~ spl41_88 ),
inference(avatar_split_clause,[],[f994,f991,f789,f1246]) ).
fof(f1246,plain,
( spl41_140
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_140])]) ).
fof(f991,plain,
( spl41_88
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_88])]) ).
fof(f994,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_60
| ~ spl41_88 ),
inference(forward_demodulation,[],[f992,f791]) ).
fof(f992,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_88 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f1240,plain,
( spl41_139
| ~ spl41_60
| ~ spl41_86 ),
inference(avatar_split_clause,[],[f985,f982,f789,f1238]) ).
fof(f1238,plain,
( spl41_139
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_139])]) ).
fof(f982,plain,
( spl41_86
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_86])]) ).
fof(f985,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_60
| ~ spl41_86 ),
inference(forward_demodulation,[],[f983,f791]) ).
fof(f983,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_86 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f1236,plain,
( ~ spl41_138
| spl41_47
| ~ spl41_60 ),
inference(avatar_split_clause,[],[f807,f789,f710,f1233]) ).
fof(f1233,plain,
( spl41_138
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_138])]) ).
fof(f710,plain,
( spl41_47
<=> leq(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_47])]) ).
fof(f807,plain,
( ~ leq(tptp_float_0_0,n4)
| spl41_47
| ~ spl41_60 ),
inference(superposition,[],[f712,f791]) ).
fof(f712,plain,
( ~ leq(n0,n4)
| spl41_47 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f1227,plain,
( spl41_137
| ~ spl41_60
| ~ spl41_83 ),
inference(avatar_split_clause,[],[f972,f969,f789,f1225]) ).
fof(f1225,plain,
( spl41_137
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_137])]) ).
fof(f969,plain,
( spl41_83
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_83])]) ).
fof(f972,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_60
| ~ spl41_83 ),
inference(forward_demodulation,[],[f970,f791]) ).
fof(f970,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_83 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f1219,plain,
( spl41_136
| ~ spl41_60
| ~ spl41_80 ),
inference(avatar_split_clause,[],[f958,f955,f789,f1217]) ).
fof(f1217,plain,
( spl41_136
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_136])]) ).
fof(f955,plain,
( spl41_80
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_80])]) ).
fof(f958,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_60
| ~ spl41_80 ),
inference(forward_demodulation,[],[f956,f791]) ).
fof(f956,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_80 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f1211,plain,
( spl41_135
| ~ spl41_60
| ~ spl41_78 ),
inference(avatar_split_clause,[],[f949,f946,f789,f1209]) ).
fof(f1209,plain,
( spl41_135
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_135])]) ).
fof(f946,plain,
( spl41_78
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_78])]) ).
fof(f949,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_60
| ~ spl41_78 ),
inference(forward_demodulation,[],[f947,f791]) ).
fof(f947,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_78 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f1203,plain,
( spl41_134
| ~ spl41_60
| ~ spl41_76 ),
inference(avatar_split_clause,[],[f940,f937,f789,f1201]) ).
fof(f1201,plain,
( spl41_134
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_134])]) ).
fof(f937,plain,
( spl41_76
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_76])]) ).
fof(f940,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_60
| ~ spl41_76 ),
inference(forward_demodulation,[],[f938,f791]) ).
fof(f938,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_76 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f1195,plain,
( spl41_133
| ~ spl41_60
| ~ spl41_74 ),
inference(avatar_split_clause,[],[f931,f928,f789,f1193]) ).
fof(f1193,plain,
( spl41_133
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_133])]) ).
fof(f928,plain,
( spl41_74
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_74])]) ).
fof(f931,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_60
| ~ spl41_74 ),
inference(forward_demodulation,[],[f929,f791]) ).
fof(f929,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_74 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f1187,plain,
( spl41_132
| ~ spl41_60
| ~ spl41_72 ),
inference(avatar_split_clause,[],[f922,f919,f789,f1185]) ).
fof(f1185,plain,
( spl41_132
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_132])]) ).
fof(f919,plain,
( spl41_72
<=> ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_72])]) ).
fof(f922,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_60
| ~ spl41_72 ),
inference(forward_demodulation,[],[f920,f791]) ).
fof(f920,plain,
( ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_72 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f1183,plain,
( spl41_131
| ~ spl41_60
| ~ spl41_70 ),
inference(avatar_split_clause,[],[f912,f909,f789,f1181]) ).
fof(f1181,plain,
( spl41_131
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_131])]) ).
fof(f909,plain,
( spl41_70
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_70])]) ).
fof(f912,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_60
| ~ spl41_70 ),
inference(forward_demodulation,[],[f910,f791]) ).
fof(f910,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_70 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1179,plain,
( spl41_130
| ~ spl41_60
| ~ spl41_69 ),
inference(avatar_split_clause,[],[f907,f904,f789,f1177]) ).
fof(f1177,plain,
( spl41_130
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_130])]) ).
fof(f904,plain,
( spl41_69
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_69])]) ).
fof(f907,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl41_60
| ~ spl41_69 ),
inference(forward_demodulation,[],[f905,f791]) ).
fof(f905,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl41_69 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f1175,plain,
( spl41_129
| ~ spl41_60
| ~ spl41_68 ),
inference(avatar_split_clause,[],[f902,f898,f789,f1173]) ).
fof(f1173,plain,
( spl41_129
<=> ! [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_129])]) ).
fof(f898,plain,
( spl41_68
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_68])]) ).
fof(f902,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl41_60
| ~ spl41_68 ),
inference(forward_demodulation,[],[f901,f791]) ).
fof(f901,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_60
| ~ spl41_68 ),
inference(forward_demodulation,[],[f899,f791]) ).
fof(f899,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_68 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f1171,plain,
spl41_128,
inference(avatar_split_clause,[],[f455,f1169]) ).
fof(f1169,plain,
( spl41_128
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_128])]) ).
fof(f455,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f359,f315]) ).
fof(f315,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f359,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/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f1167,plain,
spl41_127,
inference(avatar_split_clause,[],[f454,f1165]) ).
fof(f1165,plain,
( spl41_127
<=> ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_127])]) ).
fof(f454,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f360,f315]) ).
fof(f360,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1163,plain,
spl41_126,
inference(avatar_split_clause,[],[f453,f1161]) ).
fof(f1161,plain,
( spl41_126
<=> ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_126])]) ).
fof(f453,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f357,f313]) ).
fof(f357,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/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f1159,plain,
spl41_125,
inference(avatar_split_clause,[],[f452,f1157]) ).
fof(f1157,plain,
( spl41_125
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_125])]) ).
fof(f452,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f358,f313]) ).
fof(f358,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1155,plain,
spl41_124,
inference(avatar_split_clause,[],[f451,f1153]) ).
fof(f1153,plain,
( spl41_124
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_124])]) ).
fof(f451,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f336,f313]) ).
fof(f336,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/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f1151,plain,
spl41_123,
inference(avatar_split_clause,[],[f450,f1149]) ).
fof(f1149,plain,
( spl41_123
<=> ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_123])]) ).
fof(f450,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f332,f313]) ).
fof(f332,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/sandbox2/benchmark/theBenchmark.p',leq_succ) ).
fof(f1147,plain,
spl41_122,
inference(avatar_split_clause,[],[f427,f1145]) ).
fof(f1145,plain,
( spl41_122
<=> ! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_122])]) ).
fof(f427,plain,
! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1142,plain,
spl41_121,
inference(avatar_split_clause,[],[f426,f1140]) ).
fof(f426,plain,
! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1138,plain,
spl41_120,
inference(avatar_split_clause,[],[f425,f1136]) ).
fof(f1136,plain,
( spl41_120
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_120])]) ).
fof(f425,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1133,plain,
spl41_119,
inference(avatar_split_clause,[],[f424,f1131]) ).
fof(f424,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1129,plain,
spl41_118,
inference(avatar_split_clause,[],[f422,f1127]) ).
fof(f1127,plain,
( spl41_118
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_118])]) ).
fof(f422,plain,
! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1124,plain,
spl41_117,
inference(avatar_split_clause,[],[f421,f1122]) ).
fof(f421,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1120,plain,
spl41_116,
inference(avatar_split_clause,[],[f420,f1118]) ).
fof(f1118,plain,
( spl41_116
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_116])]) ).
fof(f420,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1115,plain,
spl41_115,
inference(avatar_split_clause,[],[f419,f1113]) ).
fof(f419,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1111,plain,
spl41_114,
inference(avatar_split_clause,[],[f417,f1109]) ).
fof(f1109,plain,
( spl41_114
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_114])]) ).
fof(f417,plain,
! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1106,plain,
spl41_113,
inference(avatar_split_clause,[],[f416,f1104]) ).
fof(f416,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1102,plain,
spl41_112,
inference(avatar_split_clause,[],[f415,f1100]) ).
fof(f1100,plain,
( spl41_112
<=> ! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_112])]) ).
fof(f415,plain,
! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1097,plain,
spl41_111,
inference(avatar_split_clause,[],[f414,f1095]) ).
fof(f414,plain,
! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1093,plain,
spl41_110,
inference(avatar_split_clause,[],[f402,f1091]) ).
fof(f1091,plain,
( spl41_110
<=> ! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_110])]) ).
fof(f402,plain,
! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1088,plain,
spl41_109,
inference(avatar_split_clause,[],[f401,f1086]) ).
fof(f401,plain,
! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1084,plain,
spl41_108,
inference(avatar_split_clause,[],[f400,f1082]) ).
fof(f1082,plain,
( spl41_108
<=> ! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_108])]) ).
fof(f400,plain,
! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1079,plain,
spl41_107,
inference(avatar_split_clause,[],[f399,f1077]) ).
fof(f399,plain,
! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1075,plain,
spl41_106,
inference(avatar_split_clause,[],[f391,f1073]) ).
fof(f1073,plain,
( spl41_106
<=> ! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_106])]) ).
fof(f391,plain,
! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1070,plain,
spl41_105,
inference(avatar_split_clause,[],[f390,f1068]) ).
fof(f390,plain,
! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1066,plain,
spl41_104,
inference(avatar_split_clause,[],[f389,f1064]) ).
fof(f1064,plain,
( spl41_104
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_104])]) ).
fof(f389,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1061,plain,
spl41_103,
inference(avatar_split_clause,[],[f388,f1059]) ).
fof(f388,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1057,plain,
spl41_102,
inference(avatar_split_clause,[],[f385,f1055]) ).
fof(f1055,plain,
( spl41_102
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_102])]) ).
fof(f385,plain,
! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1052,plain,
spl41_101,
inference(avatar_split_clause,[],[f384,f1050]) ).
fof(f384,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1048,plain,
spl41_100,
inference(avatar_split_clause,[],[f383,f1046]) ).
fof(f1046,plain,
( spl41_100
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_100])]) ).
fof(f383,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1043,plain,
spl41_99,
inference(avatar_split_clause,[],[f382,f1041]) ).
fof(f382,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1039,plain,
spl41_98,
inference(avatar_split_clause,[],[f380,f1037]) ).
fof(f1037,plain,
( spl41_98
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_98])]) ).
fof(f380,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1034,plain,
spl41_97,
inference(avatar_split_clause,[],[f379,f1032]) ).
fof(f379,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1030,plain,
spl41_96,
inference(avatar_split_clause,[],[f378,f1028]) ).
fof(f1028,plain,
( spl41_96
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_96])]) ).
fof(f378,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1025,plain,
spl41_95,
inference(avatar_split_clause,[],[f377,f1023]) ).
fof(f377,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1021,plain,
spl41_94,
inference(avatar_split_clause,[],[f374,f1019]) ).
fof(f1019,plain,
( spl41_94
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_94])]) ).
fof(f374,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1017,plain,
( spl41_93
| ~ spl41_4
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f848,f819,f495,f1014]) ).
fof(f1014,plain,
( spl41_93
<=> leq(n1,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_93])]) ).
fof(f819,plain,
( spl41_62
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_62])]) ).
fof(f848,plain,
( leq(n1,loopcounter)
| ~ spl41_4
| ~ spl41_62 ),
inference(resolution,[],[f820,f497]) ).
fof(f820,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl41_62 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f1011,plain,
spl41_92,
inference(avatar_split_clause,[],[f373,f1009]) ).
fof(f373,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1007,plain,
spl41_91,
inference(avatar_split_clause,[],[f372,f1005]) ).
fof(f1005,plain,
( spl41_91
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_91])]) ).
fof(f372,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1002,plain,
spl41_90,
inference(avatar_split_clause,[],[f371,f1000]) ).
fof(f371,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f998,plain,
spl41_89,
inference(avatar_split_clause,[],[f369,f996]) ).
fof(f996,plain,
( spl41_89
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_89])]) ).
fof(f369,plain,
! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f993,plain,
spl41_88,
inference(avatar_split_clause,[],[f368,f991]) ).
fof(f368,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f989,plain,
spl41_87,
inference(avatar_split_clause,[],[f367,f987]) ).
fof(f987,plain,
( spl41_87
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_87])]) ).
fof(f367,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f984,plain,
spl41_86,
inference(avatar_split_clause,[],[f366,f982]) ).
fof(f366,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f980,plain,
spl41_85,
inference(avatar_split_clause,[],[f363,f978]) ).
fof(f978,plain,
( spl41_85
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_85])]) ).
fof(f363,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f976,plain,
spl41_84,
inference(avatar_split_clause,[],[f354,f974]) ).
fof(f974,plain,
( spl41_84
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f354,plain,
! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f971,plain,
spl41_83,
inference(avatar_split_clause,[],[f353,f969]) ).
fof(f353,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f967,plain,
( spl41_82
| ~ spl41_5
| ~ spl41_60 ),
inference(avatar_split_clause,[],[f795,f789,f500,f964]) ).
fof(f964,plain,
( spl41_82
<=> leq(tptp_float_0_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_82])]) ).
fof(f795,plain,
( leq(tptp_float_0_0,sK13)
| ~ spl41_5
| ~ spl41_60 ),
inference(superposition,[],[f502,f791]) ).
fof(f962,plain,
spl41_81,
inference(avatar_split_clause,[],[f352,f960]) ).
fof(f960,plain,
( spl41_81
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_81])]) ).
fof(f352,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f957,plain,
spl41_80,
inference(avatar_split_clause,[],[f351,f955]) ).
fof(f351,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f953,plain,
spl41_79,
inference(avatar_split_clause,[],[f348,f951]) ).
fof(f951,plain,
( spl41_79
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_79])]) ).
fof(f348,plain,
! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f948,plain,
spl41_78,
inference(avatar_split_clause,[],[f347,f946]) ).
fof(f347,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f944,plain,
spl41_77,
inference(avatar_split_clause,[],[f346,f942]) ).
fof(f942,plain,
( spl41_77
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_77])]) ).
fof(f346,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f939,plain,
spl41_76,
inference(avatar_split_clause,[],[f345,f937]) ).
fof(f345,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f935,plain,
spl41_75,
inference(avatar_split_clause,[],[f342,f933]) ).
fof(f933,plain,
( spl41_75
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_75])]) ).
fof(f342,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f930,plain,
spl41_74,
inference(avatar_split_clause,[],[f341,f928]) ).
fof(f341,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f926,plain,
spl41_73,
inference(avatar_split_clause,[],[f340,f924]) ).
fof(f924,plain,
( spl41_73
<=> ! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_73])]) ).
fof(f340,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f921,plain,
spl41_72,
inference(avatar_split_clause,[],[f339,f919]) ).
fof(f339,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f917,plain,
( spl41_71
| ~ spl41_2
| ~ spl41_60 ),
inference(avatar_split_clause,[],[f794,f789,f485,f914]) ).
fof(f914,plain,
( spl41_71
<=> leq(tptp_float_0_0,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_71])]) ).
fof(f794,plain,
( leq(tptp_float_0_0,pv40)
| ~ spl41_2
| ~ spl41_60 ),
inference(superposition,[],[f487,f791]) ).
fof(f911,plain,
spl41_70,
inference(avatar_split_clause,[],[f337,f909]) ).
fof(f337,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/sandbox2/benchmark/theBenchmark.p',leq_minus) ).
fof(f906,plain,
spl41_69,
inference(avatar_split_clause,[],[f334,f904]) ).
fof(f334,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/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi) ).
fof(f900,plain,
spl41_68,
inference(avatar_split_clause,[],[f333,f898]) ).
fof(f333,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/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo) ).
fof(f879,plain,
spl41_67,
inference(avatar_split_clause,[],[f441,f877]) ).
fof(f877,plain,
( spl41_67
<=> ! [X0] : plus(X0,n1) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_67])]) ).
fof(f441,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f314,f313]) ).
fof(f314,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f875,plain,
spl41_66,
inference(avatar_split_clause,[],[f440,f873]) ).
fof(f873,plain,
( spl41_66
<=> ! [X0] : plus(minus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_66])]) ).
fof(f440,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f311,f313,f315]) ).
fof(f311,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred) ).
fof(f871,plain,
spl41_65,
inference(avatar_split_clause,[],[f439,f869]) ).
fof(f869,plain,
( spl41_65
<=> ! [X0] : minus(plus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_65])]) ).
fof(f439,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f310,f315,f313]) ).
fof(f310,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f867,plain,
( ~ spl41_64
| spl41_1
| ~ spl41_60 ),
inference(avatar_split_clause,[],[f793,f789,f480,f864]) ).
fof(f864,plain,
( spl41_64
<=> tptp_float_0_0 = pv90 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_64])]) ).
fof(f480,plain,
( spl41_1
<=> n0 = pv90 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f793,plain,
( tptp_float_0_0 != pv90
| spl41_1
| ~ spl41_60 ),
inference(superposition,[],[f482,f791]) ).
fof(f482,plain,
( n0 != pv90
| spl41_1 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f825,plain,
( spl41_63
| ~ spl41_60
| ~ spl41_61 ),
inference(avatar_split_clause,[],[f817,f814,f789,f823]) ).
fof(f823,plain,
( spl41_63
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_63])]) ).
fof(f814,plain,
( spl41_61
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_61])]) ).
fof(f817,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl41_60
| ~ spl41_61 ),
inference(forward_demodulation,[],[f815,f791]) ).
fof(f815,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_61 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f821,plain,
spl41_62,
inference(avatar_split_clause,[],[f335,f819]) ).
fof(f335,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/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f816,plain,
spl41_61,
inference(avatar_split_clause,[],[f316,f814]) ).
fof(f316,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X22] : sum(n0,tptp_minus_1,X22) = tptp_float_0_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base_float) ).
fof(f792,plain,
( spl41_60
| ~ spl41_59 ),
inference(avatar_split_clause,[],[f787,f784,f789]) ).
fof(f784,plain,
( spl41_59
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_59])]) ).
fof(f787,plain,
( n0 = tptp_float_0_0
| ~ spl41_59 ),
inference(forward_demodulation,[],[f785,f316]) ).
fof(f785,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_59 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f786,plain,
spl41_59,
inference(avatar_split_clause,[],[f312,f784]) ).
fof(f312,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f776,plain,
spl41_58,
inference(avatar_split_clause,[],[f470,f773]) ).
fof(f773,plain,
( spl41_58
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_58])]) ).
fof(f470,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f469,f466]) ).
fof(f466,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f465,f463]) ).
fof(f463,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f462,f461]) ).
fof(f461,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f434,f432]) ).
fof(f432,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f301,f313]) ).
fof(f301,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f434,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f303,f313,f313]) ).
fof(f303,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f462,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f435,f432]) ).
fof(f435,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f304,f313,f313,f313]) ).
fof(f304,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f465,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f464,f461]) ).
fof(f464,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f436,f432]) ).
fof(f436,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f305,f313,f313,f313,f313]) ).
fof(f305,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f469,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f468,f463]) ).
fof(f468,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f467,f461]) ).
fof(f467,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f437,f432]) ).
fof(f437,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f306,f313,f313,f313,f313,f313]) ).
fof(f306,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f90,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f771,plain,
spl41_57,
inference(avatar_split_clause,[],[f466,f768]) ).
fof(f768,plain,
( spl41_57
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_57])]) ).
fof(f766,plain,
spl41_56,
inference(avatar_split_clause,[],[f463,f763]) ).
fof(f763,plain,
( spl41_56
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_56])]) ).
fof(f761,plain,
spl41_55,
inference(avatar_split_clause,[],[f461,f758]) ).
fof(f758,plain,
( spl41_55
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_55])]) ).
fof(f756,plain,
spl41_54,
inference(avatar_split_clause,[],[f438,f754]) ).
fof(f754,plain,
( spl41_54
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_54])]) ).
fof(f438,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f309,f313]) ).
fof(f309,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ) ).
fof(f752,plain,
spl41_53,
inference(avatar_split_clause,[],[f433,f749]) ).
fof(f749,plain,
( spl41_53
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_53])]) ).
fof(f433,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f302,f313]) ).
fof(f302,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f747,plain,
spl41_52,
inference(avatar_split_clause,[],[f432,f744]) ).
fof(f744,plain,
( spl41_52
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_52])]) ).
fof(f739,plain,
spl41_51,
inference(avatar_split_clause,[],[f261,f737]) ).
fof(f737,plain,
( spl41_51
<=> ! [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_51])]) ).
fof(f261,plain,
! [X8,X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9)
| ~ leq(X8,n135299)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( init != a_select2(rhoold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13)
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f192,f193]) ).
fof(f193,plain,
( ? [X0] :
( init != a_select2(rhoold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(rhoold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0] :
( init != a_select2(rhoold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n1)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigmaold_init,X0) ) )
& ( gt(loopcounter,n1)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rhoold_init,X1) ) )
& ( gt(loopcounter,n1)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(muold_init,X2) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,pred(pv40))
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X5] :
( ( leq(X5,pred(pv40))
& leq(n0,X5) )
=> init = a_select2(mu_init,X5) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(rho_init,X6) )
& ! [X7] :
( ( leq(X7,n135299)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select3(q_init,X7,X8) ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(rhoold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(rhoold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(rhoold_init,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0006) ).
fof(f732,plain,
( ~ spl41_4
| spl41_50 ),
inference(avatar_split_clause,[],[f268,f730,f495]) ).
fof(f730,plain,
( spl41_50
<=> ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_50])]) ).
fof(f268,plain,
! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f725,plain,
( ~ spl41_4
| spl41_49 ),
inference(avatar_split_clause,[],[f267,f723,f495]) ).
fof(f267,plain,
! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f718,plain,
( ~ spl41_4
| spl41_48 ),
inference(avatar_split_clause,[],[f266,f716,f495]) ).
fof(f266,plain,
! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f713,plain,
( spl41_46
| ~ spl41_47
| ~ spl41_8
| ~ spl41_42 ),
inference(avatar_split_clause,[],[f695,f686,f515,f710,f706]) ).
fof(f515,plain,
( spl41_8
<=> ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f686,plain,
( spl41_42
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_42])]) ).
fof(f695,plain,
( ~ leq(n0,n4)
| init = a_select2(rho_init,n0)
| ~ spl41_8
| ~ spl41_42 ),
inference(resolution,[],[f687,f516]) ).
fof(f516,plain,
( ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,n4)
| init = a_select2(rho_init,X7) )
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f687,plain,
( ! [X0] : leq(X0,X0)
| ~ spl41_42 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f703,plain,
spl41_45,
inference(avatar_split_clause,[],[f431,f701]) ).
fof(f701,plain,
( spl41_45
<=> ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,minus(pv40,n1))
| ~ leq(n0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_45])]) ).
fof(f431,plain,
! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,minus(pv40,n1))
| ~ leq(n0,X6) ),
inference(definition_unfolding,[],[f263,f315]) ).
fof(f263,plain,
! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f194]) ).
fof(f699,plain,
spl41_44,
inference(avatar_split_clause,[],[f430,f697]) ).
fof(f697,plain,
( spl41_44
<=> ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,minus(pv40,n1))
| ~ leq(n0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_44])]) ).
fof(f430,plain,
! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,minus(pv40,n1))
| ~ leq(n0,X5) ),
inference(definition_unfolding,[],[f264,f315]) ).
fof(f264,plain,
! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) ),
inference(cnf_transformation,[],[f194]) ).
fof(f693,plain,
( spl41_43
| ~ spl41_3
| ~ spl41_2
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f524,f521,f485,f490,f690]) ).
fof(f521,plain,
( spl41_9
<=> ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f524,plain,
( ~ leq(pv40,n4)
| init = a_select3(center_init,pv40,n0)
| ~ spl41_2
| ~ spl41_9 ),
inference(resolution,[],[f522,f487]) ).
fof(f522,plain,
( ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select3(center_init,X4,n0) )
| ~ spl41_9 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f688,plain,
spl41_42,
inference(avatar_split_clause,[],[f308,f686]) ).
fof(f308,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f684,plain,
spl41_41,
inference(avatar_split_clause,[],[f307,f682]) ).
fof(f682,plain,
( spl41_41
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_41])]) ).
fof(f307,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f680,plain,
spl41_40,
inference(avatar_split_clause,[],[f300,f677]) ).
fof(f677,plain,
( spl41_40
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_40])]) ).
fof(f300,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f675,plain,
spl41_39,
inference(avatar_split_clause,[],[f299,f672]) ).
fof(f672,plain,
( spl41_39
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_39])]) ).
fof(f299,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f670,plain,
spl41_38,
inference(avatar_split_clause,[],[f298,f667]) ).
fof(f667,plain,
( spl41_38
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_38])]) ).
fof(f298,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f665,plain,
spl41_37,
inference(avatar_split_clause,[],[f297,f662]) ).
fof(f662,plain,
( spl41_37
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_37])]) ).
fof(f297,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f660,plain,
( spl41_36
| ~ spl41_6
| ~ spl41_5
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f519,f515,f500,f505,f657]) ).
fof(f657,plain,
( spl41_36
<=> init = a_select2(rho_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_36])]) ).
fof(f519,plain,
( ~ leq(sK13,n4)
| init = a_select2(rho_init,sK13)
| ~ spl41_5
| ~ spl41_8 ),
inference(resolution,[],[f516,f502]) ).
fof(f655,plain,
spl41_35,
inference(avatar_split_clause,[],[f296,f652]) ).
fof(f652,plain,
( spl41_35
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_35])]) ).
fof(f296,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f650,plain,
spl41_34,
inference(avatar_split_clause,[],[f295,f647]) ).
fof(f647,plain,
( spl41_34
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_34])]) ).
fof(f295,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f645,plain,
spl41_33,
inference(avatar_split_clause,[],[f294,f642]) ).
fof(f642,plain,
( spl41_33
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_33])]) ).
fof(f294,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f640,plain,
spl41_32,
inference(avatar_split_clause,[],[f293,f637]) ).
fof(f637,plain,
( spl41_32
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_32])]) ).
fof(f293,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f635,plain,
spl41_31,
inference(avatar_split_clause,[],[f292,f632]) ).
fof(f632,plain,
( spl41_31
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_31])]) ).
fof(f292,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f630,plain,
spl41_30,
inference(avatar_split_clause,[],[f291,f627]) ).
fof(f627,plain,
( spl41_30
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_30])]) ).
fof(f291,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f625,plain,
spl41_29,
inference(avatar_split_clause,[],[f290,f622]) ).
fof(f622,plain,
( spl41_29
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_29])]) ).
fof(f290,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f620,plain,
spl41_28,
inference(avatar_split_clause,[],[f289,f617]) ).
fof(f617,plain,
( spl41_28
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_28])]) ).
fof(f289,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f615,plain,
spl41_27,
inference(avatar_split_clause,[],[f288,f612]) ).
fof(f612,plain,
( spl41_27
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_27])]) ).
fof(f288,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f610,plain,
spl41_26,
inference(avatar_split_clause,[],[f287,f607]) ).
fof(f607,plain,
( spl41_26
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_26])]) ).
fof(f287,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f605,plain,
spl41_25,
inference(avatar_split_clause,[],[f286,f602]) ).
fof(f602,plain,
( spl41_25
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_25])]) ).
fof(f286,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f600,plain,
spl41_24,
inference(avatar_split_clause,[],[f285,f597]) ).
fof(f597,plain,
( spl41_24
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f285,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f595,plain,
spl41_23,
inference(avatar_split_clause,[],[f284,f592]) ).
fof(f592,plain,
( spl41_23
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_23])]) ).
fof(f284,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(f590,plain,
spl41_22,
inference(avatar_split_clause,[],[f283,f587]) ).
fof(f587,plain,
( spl41_22
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_22])]) ).
fof(f283,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f585,plain,
spl41_21,
inference(avatar_split_clause,[],[f282,f582]) ).
fof(f582,plain,
( spl41_21
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_21])]) ).
fof(f282,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(f580,plain,
spl41_20,
inference(avatar_split_clause,[],[f281,f577]) ).
fof(f577,plain,
( spl41_20
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_20])]) ).
fof(f281,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f575,plain,
spl41_19,
inference(avatar_split_clause,[],[f280,f572]) ).
fof(f572,plain,
( spl41_19
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_19])]) ).
fof(f280,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f570,plain,
spl41_18,
inference(avatar_split_clause,[],[f279,f567]) ).
fof(f567,plain,
( spl41_18
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_18])]) ).
fof(f279,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135299,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_0) ).
fof(f565,plain,
spl41_17,
inference(avatar_split_clause,[],[f278,f562]) ).
fof(f562,plain,
( spl41_17
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f278,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135299,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_4) ).
fof(f560,plain,
spl41_16,
inference(avatar_split_clause,[],[f277,f557]) ).
fof(f557,plain,
( spl41_16
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f277,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135299,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_1) ).
fof(f555,plain,
( spl41_15
| ~ spl41_3
| ~ spl41_2
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f518,f515,f485,f490,f552]) ).
fof(f518,plain,
( ~ leq(pv40,n4)
| init = a_select2(rho_init,pv40)
| ~ spl41_2
| ~ spl41_8 ),
inference(resolution,[],[f516,f487]) ).
fof(f550,plain,
spl41_14,
inference(avatar_split_clause,[],[f276,f547]) ).
fof(f547,plain,
( spl41_14
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f276,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135299,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_2) ).
fof(f545,plain,
spl41_13,
inference(avatar_split_clause,[],[f275,f542]) ).
fof(f542,plain,
( spl41_13
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f275,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135299,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_3) ).
fof(f540,plain,
spl41_12,
inference(avatar_split_clause,[],[f274,f537]) ).
fof(f537,plain,
( spl41_12
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f274,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135299,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_5) ).
fof(f535,plain,
spl41_11,
inference(avatar_split_clause,[],[f273,f532]) ).
fof(f532,plain,
( spl41_11
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f273,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135299,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_tptp_minus_1) ).
fof(f530,plain,
~ spl41_10,
inference(avatar_split_clause,[],[f272,f527]) ).
fof(f527,plain,
( spl41_10
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f272,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f523,plain,
spl41_9,
inference(avatar_split_clause,[],[f265,f521]) ).
fof(f265,plain,
! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f194]) ).
fof(f517,plain,
spl41_8,
inference(avatar_split_clause,[],[f262,f515]) ).
fof(f262,plain,
! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f513,plain,
~ spl41_7,
inference(avatar_split_clause,[],[f271,f510]) ).
fof(f271,plain,
init != a_select2(rhoold_init,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f508,plain,
spl41_6,
inference(avatar_split_clause,[],[f270,f505]) ).
fof(f270,plain,
leq(sK13,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f503,plain,
spl41_5,
inference(avatar_split_clause,[],[f269,f500]) ).
fof(f269,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f498,plain,
spl41_4,
inference(avatar_split_clause,[],[f260,f495]) ).
fof(f260,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f194]) ).
fof(f493,plain,
spl41_3,
inference(avatar_split_clause,[],[f259,f490]) ).
fof(f259,plain,
leq(pv40,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f488,plain,
spl41_2,
inference(avatar_split_clause,[],[f258,f485]) ).
fof(f258,plain,
leq(n0,pv40),
inference(cnf_transformation,[],[f194]) ).
fof(f483,plain,
~ spl41_1,
inference(avatar_split_clause,[],[f257,f480]) ).
fof(f257,plain,
n0 != pv90,
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV166+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 21:12:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (21474)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (21477)WARNING: value z3 for option sas not known
% 0.12/0.35 % (21477)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)
% 0.12/0.35 % (21476)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (21478)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (21481)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)
% 0.12/0.35 % (21479)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)
% 0.12/0.35 % (21475)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (21480)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)
% 0.17/0.45 % (21479)First to succeed.
% 0.17/0.45 TRYING [1]
% 0.17/0.47 TRYING [2]
% 0.17/0.47 % (21479)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21474"
% 0.17/0.47 % (21479)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (21479)------------------------------
% 0.17/0.48 % (21479)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.48 % (21479)Termination reason: Refutation
% 0.17/0.48
% 0.17/0.48 % (21479)Memory used [KB]: 3069
% 0.17/0.48 % (21479)Time elapsed: 0.125 s
% 0.17/0.48 % (21479)Instructions burned: 241 (million)
% 0.17/0.48 % (21474)Success in time 0.138 s
%------------------------------------------------------------------------------