TSTP Solution File: CSR015+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : CSR015+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n021.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 : Mon Jun 24 05:33:38 EDT 2024
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 428
% Syntax : Number of formulae : 1473 ( 171 unt; 0 def)
% Number of atoms : 4499 ( 574 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 4965 (1939 ~;2353 |; 246 &)
% ( 417 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 396 ( 394 usr; 375 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-2 aty)
% Number of variables : 1059 (1047 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3996,plain,
$false,
inference(avatar_sat_refutation,[],[f333,f338,f343,f348,f352,f357,f362,f367,f372,f376,f380,f384,f389,f394,f399,f404,f408,f413,f418,f423,f428,f433,f438,f443,f448,f453,f458,f462,f466,f470,f474,f478,f482,f486,f490,f494,f498,f502,f506,f510,f514,f518,f522,f526,f530,f534,f538,f542,f546,f550,f554,f558,f562,f566,f570,f578,f588,f600,f606,f610,f614,f618,f622,f626,f630,f634,f638,f645,f649,f653,f657,f661,f665,f669,f673,f677,f681,f686,f690,f694,f698,f702,f706,f710,f714,f718,f722,f726,f731,f735,f739,f760,f765,f782,f795,f799,f803,f807,f811,f815,f819,f826,f830,f834,f838,f848,f856,f860,f892,f897,f901,f905,f915,f919,f923,f927,f934,f941,f945,f954,f958,f968,f972,f976,f984,f989,f1020,f1025,f1030,f1035,f1040,f1048,f1065,f1069,f1074,f1078,f1082,f1086,f1090,f1094,f1098,f1102,f1118,f1145,f1149,f1153,f1157,f1162,f1166,f1170,f1174,f1178,f1182,f1186,f1246,f1334,f1338,f1349,f1353,f1362,f1366,f1372,f1376,f1396,f1400,f1404,f1417,f1422,f1427,f1432,f1437,f1442,f1447,f1452,f1457,f1462,f1467,f1472,f1527,f1536,f1580,f1587,f1596,f1606,f1616,f1627,f1631,f1674,f1687,f1696,f1706,f1715,f1744,f1774,f1783,f1793,f1799,f1886,f1892,f2043,f2100,f2105,f2110,f2115,f2120,f2125,f2130,f2135,f2171,f2175,f2179,f2183,f2187,f2191,f2195,f2226,f2230,f2235,f2239,f2243,f2247,f2251,f2255,f2259,f2272,f2280,f2282,f2296,f2312,f2318,f2358,f2373,f2381,f2394,f2409,f2424,f2431,f2446,f2461,f2476,f2491,f2506,f2517,f2530,f2545,f2560,f2629,f2743,f2784,f2788,f2808,f2824,f2844,f2848,f2852,f2856,f2862,f2866,f2874,f2885,f2889,f2893,f2905,f2914,f2918,f2931,f2940,f2945,f2950,f2955,f2960,f2965,f2970,f2975,f2980,f2985,f3027,f3040,f3087,f3096,f3124,f3129,f3130,f3139,f3144,f3149,f3155,f3160,f3165,f3171,f3176,f3181,f3195,f3206,f3211,f3216,f3221,f3226,f3231,f3236,f3241,f3286,f3287,f3308,f3350,f3355,f3360,f3365,f3371,f3376,f3423,f3430,f3435,f3440,f3445,f3451,f3454,f3464,f3474,f3475,f3555,f3560,f3565,f3570,f3571,f3578,f3579,f3582,f3640,f3662,f3663,f3664,f3665,f3666,f3667,f3668,f3669,f3742,f3748,f3766,f3823,f3832,f3838,f3843,f3852,f3860,f3865,f3874,f3922,f3976,f3982,f3988,f3994,f3995]) ).
fof(f3995,plain,
( ~ spl16_371
| ~ spl16_1
| ~ spl16_177
| ~ spl16_156
| ~ spl16_219 ),
inference(avatar_split_clause,[],[f2214,f2189,f1332,f1464,f330,f3973]) ).
fof(f3973,plain,
( spl16_371
<=> happens(pull,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_371])]) ).
fof(f330,plain,
( spl16_1
<=> holdsAt(backwards,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f1464,plain,
( spl16_177
<=> happens(push,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_177])]) ).
fof(f1332,plain,
( spl16_156
<=> ! [X0,X1] :
( ~ holdsAt(X0,n1)
| ~ terminates(X1,X0,n0)
| ~ happens(X1,n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_156])]) ).
fof(f2189,plain,
( spl16_219
<=> ! [X0] :
( ~ happens(push,X0)
| terminates(pull,backwards,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_219])]) ).
fof(f2214,plain,
( ~ happens(push,n0)
| ~ holdsAt(backwards,n1)
| ~ happens(pull,n0)
| ~ spl16_156
| ~ spl16_219 ),
inference(resolution,[],[f2190,f1333]) ).
fof(f1333,plain,
( ! [X0,X1] :
( ~ terminates(X1,X0,n0)
| ~ holdsAt(X0,n1)
| ~ happens(X1,n0) )
| ~ spl16_156 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f2190,plain,
( ! [X0] :
( terminates(pull,backwards,X0)
| ~ happens(push,X0) )
| ~ spl16_219 ),
inference(avatar_component_clause,[],[f2189]) ).
fof(f3994,plain,
( ~ spl16_371
| ~ spl16_374
| ~ spl16_177
| ~ spl16_156
| ~ spl16_218 ),
inference(avatar_split_clause,[],[f2209,f2185,f1332,f1464,f3991,f3973]) ).
fof(f3991,plain,
( spl16_374
<=> holdsAt(forwards,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_374])]) ).
fof(f2185,plain,
( spl16_218
<=> ! [X0] :
( ~ happens(push,X0)
| terminates(pull,forwards,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_218])]) ).
fof(f2209,plain,
( ~ happens(push,n0)
| ~ holdsAt(forwards,n1)
| ~ happens(pull,n0)
| ~ spl16_156
| ~ spl16_218 ),
inference(resolution,[],[f2186,f1333]) ).
fof(f2186,plain,
( ! [X0] :
( terminates(pull,forwards,X0)
| ~ happens(push,X0) )
| ~ spl16_218 ),
inference(avatar_component_clause,[],[f2185]) ).
fof(f3988,plain,
( ~ spl16_178
| ~ spl16_373
| spl16_271
| ~ spl16_157
| ~ spl16_217 ),
inference(avatar_split_clause,[],[f2207,f2181,f1336,f2510,f3985,f1469]) ).
fof(f1469,plain,
( spl16_178
<=> happens(pull,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_178])]) ).
fof(f3985,plain,
( spl16_373
<=> holdsAt(forwards,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_373])]) ).
fof(f2510,plain,
( spl16_271
<=> happens(push,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_271])]) ).
fof(f1336,plain,
( spl16_157
<=> ! [X0,X1] :
( ~ holdsAt(X0,n2)
| ~ terminates(X1,X0,n1)
| ~ happens(X1,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_157])]) ).
fof(f2181,plain,
( spl16_217
<=> ! [X0] :
( happens(push,X0)
| terminates(pull,forwards,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_217])]) ).
fof(f2207,plain,
( happens(push,n1)
| ~ holdsAt(forwards,n2)
| ~ happens(pull,n1)
| ~ spl16_157
| ~ spl16_217 ),
inference(resolution,[],[f2182,f1337]) ).
fof(f1337,plain,
( ! [X0,X1] :
( ~ terminates(X1,X0,n1)
| ~ holdsAt(X0,n2)
| ~ happens(X1,n1) )
| ~ spl16_157 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f2182,plain,
( ! [X0] :
( terminates(pull,forwards,X0)
| happens(push,X0) )
| ~ spl16_217 ),
inference(avatar_component_clause,[],[f2181]) ).
fof(f3982,plain,
( spl16_372
| ~ spl16_53
| ~ spl16_353
| ~ spl16_371 ),
inference(avatar_split_clause,[],[f3977,f3973,f3557,f560,f3979]) ).
fof(f3979,plain,
( spl16_372
<=> happens(pull,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_372])]) ).
fof(f560,plain,
( spl16_53
<=> ! [X0,X1] :
( n0 = X0
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_53])]) ).
fof(f3557,plain,
( spl16_353
<=> sP0(n8,push) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_353])]) ).
fof(f3977,plain,
( happens(pull,n8)
| ~ spl16_53
| ~ spl16_353
| ~ spl16_371 ),
inference(forward_demodulation,[],[f3975,f3728]) ).
fof(f3728,plain,
( n0 = n8
| ~ spl16_53
| ~ spl16_353 ),
inference(resolution,[],[f3559,f561]) ).
fof(f561,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| n0 = X0 )
| ~ spl16_53 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f3559,plain,
( sP0(n8,push)
| ~ spl16_353 ),
inference(avatar_component_clause,[],[f3557]) ).
fof(f3975,plain,
( happens(pull,n0)
| ~ spl16_371 ),
inference(avatar_component_clause,[],[f3973]) ).
fof(f3976,plain,
( ~ spl16_177
| ~ spl16_1
| spl16_371
| ~ spl16_156
| ~ spl16_216 ),
inference(avatar_split_clause,[],[f2201,f2177,f1332,f3973,f330,f1464]) ).
fof(f2177,plain,
( spl16_216
<=> ! [X0] :
( happens(pull,X0)
| terminates(push,backwards,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_216])]) ).
fof(f2201,plain,
( happens(pull,n0)
| ~ holdsAt(backwards,n1)
| ~ happens(push,n0)
| ~ spl16_156
| ~ spl16_216 ),
inference(resolution,[],[f2178,f1333]) ).
fof(f2178,plain,
( ! [X0] :
( terminates(push,backwards,X0)
| happens(pull,X0) )
| ~ spl16_216 ),
inference(avatar_component_clause,[],[f2177]) ).
fof(f3922,plain,
( spl16_369
| spl16_370
| spl16_206
| ~ spl16_312 ),
inference(avatar_split_clause,[],[f3456,f3025,f2097,f3919,f3915]) ).
fof(f3915,plain,
( spl16_369
<=> n5 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_369])]) ).
fof(f3919,plain,
( spl16_370
<=> less_or_equal(n8,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_370])]) ).
fof(f2097,plain,
( spl16_206
<=> less_or_equal(n5,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_206])]) ).
fof(f3025,plain,
( spl16_312
<=> ! [X0] :
( n5 = X0
| less_or_equal(n5,X0)
| less_or_equal(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_312])]) ).
fof(f3456,plain,
( less_or_equal(n8,n4)
| n5 = n8
| spl16_206
| ~ spl16_312 ),
inference(resolution,[],[f2098,f3026]) ).
fof(f3026,plain,
( ! [X0] :
( less_or_equal(n5,X0)
| less_or_equal(X0,n4)
| n5 = X0 )
| ~ spl16_312 ),
inference(avatar_component_clause,[],[f3025]) ).
fof(f2098,plain,
( ~ less_or_equal(n5,n8)
| spl16_206 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f3874,plain,
( spl16_367
| spl16_368
| spl16_198
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f3090,f2224,f1712,f3871,f3867]) ).
fof(f3867,plain,
( spl16_367
<=> n6 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_367])]) ).
fof(f3871,plain,
( spl16_368
<=> less_or_equal(n8,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_368])]) ).
fof(f1712,plain,
( spl16_198
<=> less_or_equal(n6,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_198])]) ).
fof(f2224,plain,
( spl16_221
<=> ! [X0,X1] :
( X0 = X1
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_221])]) ).
fof(f3090,plain,
( less_or_equal(n8,n6)
| n6 = n8
| spl16_198
| ~ spl16_221 ),
inference(resolution,[],[f1713,f2225]) ).
fof(f2225,plain,
( ! [X0,X1] :
( less_or_equal(X1,X0)
| less_or_equal(X0,X1)
| X0 = X1 )
| ~ spl16_221 ),
inference(avatar_component_clause,[],[f2224]) ).
fof(f1713,plain,
( ~ less_or_equal(n6,n8)
| spl16_198 ),
inference(avatar_component_clause,[],[f1712]) ).
fof(f3865,plain,
( spl16_205
| spl16_199
| ~ spl16_221
| spl16_262 ),
inference(avatar_split_clause,[],[f2577,f2465,f2224,f1771,f2040]) ).
fof(f2040,plain,
( spl16_205
<=> n4 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_205])]) ).
fof(f1771,plain,
( spl16_199
<=> less_or_equal(n6,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_199])]) ).
fof(f2465,plain,
( spl16_262
<=> less_or_equal(n4,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_262])]) ).
fof(f2577,plain,
( less_or_equal(n6,n4)
| n4 = n6
| ~ spl16_221
| spl16_262 ),
inference(resolution,[],[f2225,f2466]) ).
fof(f2466,plain,
( ~ less_or_equal(n4,n6)
| spl16_262 ),
inference(avatar_component_clause,[],[f2465]) ).
fof(f3860,plain,
( spl16_280
| spl16_366
| ~ spl16_107
| ~ spl16_273 ),
inference(avatar_split_clause,[],[f2532,f2519,f854,f3857,f2553]) ).
fof(f2553,plain,
( spl16_280
<=> n1 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_280])]) ).
fof(f3857,plain,
( spl16_366
<=> less(n9,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_366])]) ).
fof(f854,plain,
( spl16_107
<=> ! [X0,X1] :
( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_107])]) ).
fof(f2519,plain,
( spl16_273
<=> less_or_equal(n9,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_273])]) ).
fof(f2532,plain,
( less(n9,n1)
| n1 = n9
| ~ spl16_107
| ~ spl16_273 ),
inference(resolution,[],[f2521,f855]) ).
fof(f855,plain,
( ! [X0,X1] :
( ~ less_or_equal(X0,X1)
| less(X0,X1)
| X0 = X1 )
| ~ spl16_107 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f2521,plain,
( less_or_equal(n9,n1)
| ~ spl16_273 ),
inference(avatar_component_clause,[],[f2519]) ).
fof(f3852,plain,
( spl16_264
| spl16_365
| ~ spl16_107
| ~ spl16_265 ),
inference(avatar_split_clause,[],[f2493,f2480,f854,f3849,f2473]) ).
fof(f2473,plain,
( spl16_264
<=> n4 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_264])]) ).
fof(f3849,plain,
( spl16_365
<=> less(n4,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_365])]) ).
fof(f2480,plain,
( spl16_265
<=> less_or_equal(n4,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_265])]) ).
fof(f2493,plain,
( less(n4,n7)
| n4 = n7
| ~ spl16_107
| ~ spl16_265 ),
inference(resolution,[],[f2482,f855]) ).
fof(f2482,plain,
( less_or_equal(n4,n7)
| ~ spl16_265 ),
inference(avatar_component_clause,[],[f2480]) ).
fof(f3843,plain,
( ~ spl16_351
| ~ spl16_47
| ~ spl16_302 ),
inference(avatar_split_clause,[],[f3243,f2937,f536,f3471]) ).
fof(f3471,plain,
( spl16_351
<=> less(n9,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_351])]) ).
fof(f536,plain,
( spl16_47
<=> ! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_47])]) ).
fof(f2937,plain,
( spl16_302
<=> less(n7,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_302])]) ).
fof(f3243,plain,
( ~ less(n9,n7)
| ~ spl16_47
| ~ spl16_302 ),
inference(resolution,[],[f2939,f537]) ).
fof(f537,plain,
( ! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) )
| ~ spl16_47 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f2939,plain,
( less(n7,n9)
| ~ spl16_302 ),
inference(avatar_component_clause,[],[f2937]) ).
fof(f3838,plain,
( spl16_258
| spl16_364
| ~ spl16_107
| ~ spl16_263 ),
inference(avatar_split_clause,[],[f2478,f2469,f854,f3835,f2443]) ).
fof(f2443,plain,
( spl16_258
<=> n3 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_258])]) ).
fof(f3835,plain,
( spl16_364
<=> less(n7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_364])]) ).
fof(f2469,plain,
( spl16_263
<=> less_or_equal(n7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_263])]) ).
fof(f2478,plain,
( less(n7,n3)
| n3 = n7
| ~ spl16_107
| ~ spl16_263 ),
inference(resolution,[],[f2471,f855]) ).
fof(f2471,plain,
( less_or_equal(n7,n3)
| ~ spl16_263 ),
inference(avatar_component_clause,[],[f2469]) ).
fof(f3832,plain,
( spl16_248
| spl16_363
| ~ spl16_107
| ~ spl16_249 ),
inference(avatar_split_clause,[],[f2411,f2398,f854,f3829,f2391]) ).
fof(f2391,plain,
( spl16_248
<=> n2 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_248])]) ).
fof(f3829,plain,
( spl16_363
<=> less(n2,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_363])]) ).
fof(f2398,plain,
( spl16_249
<=> less_or_equal(n2,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_249])]) ).
fof(f2411,plain,
( less(n2,n6)
| n2 = n6
| ~ spl16_107
| ~ spl16_249 ),
inference(resolution,[],[f2400,f855]) ).
fof(f2400,plain,
( less_or_equal(n2,n6)
| ~ spl16_249 ),
inference(avatar_component_clause,[],[f2398]) ).
fof(f3823,plain,
( spl16_236
| spl16_362
| ~ spl16_107
| ~ spl16_247 ),
inference(avatar_split_clause,[],[f2396,f2387,f854,f3820,f2293]) ).
fof(f2293,plain,
( spl16_236
<=> n1 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_236])]) ).
fof(f3820,plain,
( spl16_362
<=> less(n6,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_362])]) ).
fof(f2387,plain,
( spl16_247
<=> less_or_equal(n6,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_247])]) ).
fof(f2396,plain,
( less(n6,n1)
| n1 = n6
| ~ spl16_107
| ~ spl16_247 ),
inference(resolution,[],[f2389,f855]) ).
fof(f2389,plain,
( less_or_equal(n6,n1)
| ~ spl16_247 ),
inference(avatar_component_clause,[],[f2387]) ).
fof(f3766,plain,
( spl16_360
| spl16_361
| ~ spl16_107
| ~ spl16_213 ),
inference(avatar_split_clause,[],[f2143,f2132,f854,f3763,f3759]) ).
fof(f3759,plain,
( spl16_360
<=> n2 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_360])]) ).
fof(f3763,plain,
( spl16_361
<=> less(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_361])]) ).
fof(f2132,plain,
( spl16_213
<=> less_or_equal(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_213])]) ).
fof(f2143,plain,
( less(n5,n2)
| n2 = n5
| ~ spl16_107
| ~ spl16_213 ),
inference(resolution,[],[f2134,f855]) ).
fof(f2134,plain,
( less_or_equal(n5,n2)
| ~ spl16_213 ),
inference(avatar_component_clause,[],[f2132]) ).
fof(f3748,plain,
( spl16_359
| ~ spl16_41
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f3580,f2454,f512,f3745]) ).
fof(f3745,plain,
( spl16_359
<=> less(n8,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_359])]) ).
fof(f512,plain,
( spl16_41
<=> ! [X0] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_41])]) ).
fof(f2454,plain,
( spl16_260
<=> less_or_equal(n8,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_260])]) ).
fof(f3580,plain,
( less(n8,n3)
| ~ spl16_41
| ~ spl16_260 ),
inference(resolution,[],[f2456,f513]) ).
fof(f513,plain,
( ! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) )
| ~ spl16_41 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f2456,plain,
( less_or_equal(n8,n2)
| ~ spl16_260 ),
inference(avatar_component_clause,[],[f2454]) ).
fof(f3742,plain,
( spl16_358
| ~ spl16_43
| ~ spl16_253 ),
inference(avatar_split_clause,[],[f3572,f2417,f520,f3739]) ).
fof(f3739,plain,
( spl16_358
<=> less(n8,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_358])]) ).
fof(f520,plain,
( spl16_43
<=> ! [X0] :
( less(X0,n2)
| ~ less_or_equal(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_43])]) ).
fof(f2417,plain,
( spl16_253
<=> less_or_equal(n8,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_253])]) ).
fof(f3572,plain,
( less(n8,n2)
| ~ spl16_43
| ~ spl16_253 ),
inference(resolution,[],[f2419,f521]) ).
fof(f521,plain,
( ! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) )
| ~ spl16_43 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f2419,plain,
( less_or_equal(n8,n1)
| ~ spl16_253 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f3669,plain,
( ~ spl16_343
| ~ spl16_352 ),
inference(avatar_contradiction_clause,[],[f3644]) ).
fof(f3644,plain,
( $false
| ~ spl16_343
| ~ spl16_352 ),
inference(resolution,[],[f3554,f3375]) ).
fof(f3375,plain,
( less(n0,n8)
| ~ spl16_343 ),
inference(avatar_component_clause,[],[f3373]) ).
fof(f3373,plain,
( spl16_343
<=> less(n0,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_343])]) ).
fof(f3554,plain,
( ! [X0] : ~ less(X0,n8)
| ~ spl16_352 ),
inference(avatar_component_clause,[],[f3553]) ).
fof(f3553,plain,
( spl16_352
<=> ! [X0] : ~ less(X0,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_352])]) ).
fof(f3668,plain,
( ~ spl16_324
| ~ spl16_352 ),
inference(avatar_contradiction_clause,[],[f3646]) ).
fof(f3646,plain,
( $false
| ~ spl16_324
| ~ spl16_352 ),
inference(resolution,[],[f3554,f3159]) ).
fof(f3159,plain,
( less(n1,n8)
| ~ spl16_324 ),
inference(avatar_component_clause,[],[f3157]) ).
fof(f3157,plain,
( spl16_324
<=> less(n1,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_324])]) ).
fof(f3667,plain,
( ~ spl16_327
| ~ spl16_352 ),
inference(avatar_contradiction_clause,[],[f3648]) ).
fof(f3648,plain,
( $false
| ~ spl16_327
| ~ spl16_352 ),
inference(resolution,[],[f3554,f3175]) ).
fof(f3175,plain,
( less(n2,n8)
| ~ spl16_327 ),
inference(avatar_component_clause,[],[f3173]) ).
fof(f3173,plain,
( spl16_327
<=> less(n2,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_327])]) ).
fof(f3666,plain,
( ~ spl16_330
| ~ spl16_352 ),
inference(avatar_contradiction_clause,[],[f3650]) ).
fof(f3650,plain,
( $false
| ~ spl16_330
| ~ spl16_352 ),
inference(resolution,[],[f3554,f3210]) ).
fof(f3210,plain,
( less(n3,n8)
| ~ spl16_330 ),
inference(avatar_component_clause,[],[f3208]) ).
fof(f3208,plain,
( spl16_330
<=> less(n3,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_330])]) ).
fof(f3665,plain,
( ~ spl16_332
| ~ spl16_352 ),
inference(avatar_contradiction_clause,[],[f3652]) ).
fof(f3652,plain,
( $false
| ~ spl16_332
| ~ spl16_352 ),
inference(resolution,[],[f3554,f3220]) ).
fof(f3220,plain,
( less(n4,n8)
| ~ spl16_332 ),
inference(avatar_component_clause,[],[f3218]) ).
fof(f3218,plain,
( spl16_332
<=> less(n4,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_332])]) ).
fof(f3664,plain,
( ~ spl16_319
| ~ spl16_352 ),
inference(avatar_contradiction_clause,[],[f3654]) ).
fof(f3654,plain,
( $false
| ~ spl16_319
| ~ spl16_352 ),
inference(resolution,[],[f3554,f3128]) ).
fof(f3128,plain,
( less(n5,n8)
| ~ spl16_319 ),
inference(avatar_component_clause,[],[f3126]) ).
fof(f3126,plain,
( spl16_319
<=> less(n5,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_319])]) ).
fof(f3663,plain,
( ~ spl16_303
| ~ spl16_352 ),
inference(avatar_contradiction_clause,[],[f3656]) ).
fof(f3656,plain,
( $false
| ~ spl16_303
| ~ spl16_352 ),
inference(resolution,[],[f3554,f2944]) ).
fof(f2944,plain,
( less(n6,n8)
| ~ spl16_303 ),
inference(avatar_component_clause,[],[f2942]) ).
fof(f2942,plain,
( spl16_303
<=> less(n6,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_303])]) ).
fof(f3662,plain,
( ~ spl16_57
| ~ spl16_352 ),
inference(avatar_contradiction_clause,[],[f3658]) ).
fof(f3658,plain,
( $false
| ~ spl16_57
| ~ spl16_352 ),
inference(resolution,[],[f3554,f587]) ).
fof(f587,plain,
( less(n7,n8)
| ~ spl16_57 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f585,plain,
( spl16_57
<=> less(n7,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_57])]) ).
fof(f3640,plain,
( spl16_357
| ~ spl16_35
| ~ spl16_281 ),
inference(avatar_split_clause,[],[f3481,f2557,f488,f3637]) ).
fof(f3637,plain,
( spl16_357
<=> less(n9,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_357])]) ).
fof(f488,plain,
( spl16_35
<=> ! [X0] :
( less(X0,n6)
| ~ less_or_equal(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_35])]) ).
fof(f2557,plain,
( spl16_281
<=> less_or_equal(n9,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_281])]) ).
fof(f3481,plain,
( less(n9,n6)
| ~ spl16_35
| ~ spl16_281 ),
inference(resolution,[],[f2559,f489]) ).
fof(f489,plain,
( ! [X0] :
( ~ less_or_equal(X0,n5)
| less(X0,n6) )
| ~ spl16_35 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f2559,plain,
( less_or_equal(n9,n5)
| ~ spl16_281 ),
inference(avatar_component_clause,[],[f2557]) ).
fof(f3582,plain,
( spl16_266
| ~ spl16_184
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3399,f1684,f1589,f2484]) ).
fof(f2484,plain,
( spl16_266
<=> less_or_equal(n8,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_266])]) ).
fof(f1589,plain,
( spl16_184
<=> less_or_equal(n0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_184])]) ).
fof(f1684,plain,
( spl16_194
<=> n0 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_194])]) ).
fof(f3399,plain,
( less_or_equal(n8,n3)
| ~ spl16_184
| ~ spl16_194 ),
inference(superposition,[],[f1591,f1686]) ).
fof(f1686,plain,
( n0 = n8
| ~ spl16_194 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f1591,plain,
( less_or_equal(n0,n3)
| ~ spl16_184 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f3579,plain,
( spl16_260
| ~ spl16_180
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3397,f1684,f1529,f2454]) ).
fof(f1529,plain,
( spl16_180
<=> less_or_equal(n0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_180])]) ).
fof(f3397,plain,
( less_or_equal(n8,n2)
| ~ spl16_180
| ~ spl16_194 ),
inference(superposition,[],[f1531,f1686]) ).
fof(f1531,plain,
( less_or_equal(n0,n2)
| ~ spl16_180 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f3578,plain,
( spl16_356
| ~ spl16_177
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3395,f1684,f1464,f3575]) ).
fof(f3575,plain,
( spl16_356
<=> happens(push,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_356])]) ).
fof(f3395,plain,
( happens(push,n8)
| ~ spl16_177
| ~ spl16_194 ),
inference(superposition,[],[f1466,f1686]) ).
fof(f1466,plain,
( happens(push,n0)
| ~ spl16_177 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f3571,plain,
( spl16_253
| ~ spl16_176
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3394,f1684,f1459,f2417]) ).
fof(f1459,plain,
( spl16_176
<=> less_or_equal(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_176])]) ).
fof(f3394,plain,
( less_or_equal(n8,n1)
| ~ spl16_176
| ~ spl16_194 ),
inference(superposition,[],[f1461,f1686]) ).
fof(f1461,plain,
( less_or_equal(n0,n1)
| ~ spl16_176 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f3570,plain,
( spl16_355
| ~ spl16_110
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3389,f1684,f894,f3567]) ).
fof(f3567,plain,
( spl16_355
<=> sP2(n8,push) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_355])]) ).
fof(f894,plain,
( spl16_110
<=> sP2(n0,push) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_110])]) ).
fof(f3389,plain,
( sP2(n8,push)
| ~ spl16_110
| ~ spl16_194 ),
inference(superposition,[],[f896,f1686]) ).
fof(f896,plain,
( sP2(n0,push)
| ~ spl16_110 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f3565,plain,
( spl16_354
| ~ spl16_106
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3388,f1684,f845,f3562]) ).
fof(f3562,plain,
( spl16_354
<=> less(n8,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_354])]) ).
fof(f845,plain,
( spl16_106
<=> less(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_106])]) ).
fof(f3388,plain,
( less(n8,n1)
| ~ spl16_106
| ~ spl16_194 ),
inference(superposition,[],[f847,f1686]) ).
fof(f847,plain,
( less(n0,n1)
| ~ spl16_106 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f3560,plain,
( spl16_353
| ~ spl16_16
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3382,f1684,f401,f3557]) ).
fof(f401,plain,
( spl16_16
<=> sP0(n0,push) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f3382,plain,
( sP0(n8,push)
| ~ spl16_16
| ~ spl16_194 ),
inference(superposition,[],[f403,f1686]) ).
fof(f403,plain,
( sP0(n0,push)
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f3555,plain,
( spl16_352
| ~ spl16_10
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3381,f1684,f374,f3553]) ).
fof(f374,plain,
( spl16_10
<=> ! [X0] : ~ less(X0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f3381,plain,
( ! [X0] : ~ less(X0,n8)
| ~ spl16_10
| ~ spl16_194 ),
inference(superposition,[],[f375,f1686]) ).
fof(f375,plain,
( ! [X0] : ~ less(X0,n0)
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f3475,plain,
( ~ spl16_302
| spl16_155
| ~ spl16_317 ),
inference(avatar_split_clause,[],[f3102,f3093,f1243,f2937]) ).
fof(f1243,plain,
( spl16_155
<=> less(n7,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_155])]) ).
fof(f3093,plain,
( spl16_317
<=> n6 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_317])]) ).
fof(f3102,plain,
( ~ less(n7,n9)
| spl16_155
| ~ spl16_317 ),
inference(superposition,[],[f1245,f3095]) ).
fof(f3095,plain,
( n6 = n9
| ~ spl16_317 ),
inference(avatar_component_clause,[],[f3093]) ).
fof(f1245,plain,
( ~ less(n7,n6)
| spl16_155 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f3474,plain,
( spl16_351
| ~ spl16_58
| ~ spl16_317 ),
inference(avatar_split_clause,[],[f3099,f3093,f597,f3471]) ).
fof(f597,plain,
( spl16_58
<=> less(n6,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_58])]) ).
fof(f3099,plain,
( less(n9,n7)
| ~ spl16_58
| ~ spl16_317 ),
inference(superposition,[],[f599,f3095]) ).
fof(f599,plain,
( less(n6,n7)
| ~ spl16_58 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f3464,plain,
( spl16_350
| ~ spl16_39
| ~ spl16_313 ),
inference(avatar_split_clause,[],[f3041,f3029,f504,f3461]) ).
fof(f3461,plain,
( spl16_350
<=> less(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_350])]) ).
fof(f504,plain,
( spl16_39
<=> ! [X0] :
( less(X0,n4)
| ~ less_or_equal(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_39])]) ).
fof(f3029,plain,
( spl16_313
<=> less_or_equal(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_313])]) ).
fof(f3041,plain,
( less(n1,n4)
| ~ spl16_39
| ~ spl16_313 ),
inference(resolution,[],[f3031,f505]) ).
fof(f505,plain,
( ! [X0] :
( ~ less_or_equal(X0,n3)
| less(X0,n4) )
| ~ spl16_39 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f3031,plain,
( less_or_equal(n1,n3)
| ~ spl16_313 ),
inference(avatar_component_clause,[],[f3029]) ).
fof(f3454,plain,
( ~ spl16_206
| ~ spl16_194
| spl16_231 ),
inference(avatar_split_clause,[],[f3453,f2265,f1684,f2097]) ).
fof(f2265,plain,
( spl16_231
<=> less_or_equal(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_231])]) ).
fof(f3453,plain,
( ~ less_or_equal(n5,n8)
| ~ spl16_194
| spl16_231 ),
inference(forward_demodulation,[],[f2266,f1686]) ).
fof(f2266,plain,
( ~ less_or_equal(n5,n0)
| spl16_231 ),
inference(avatar_component_clause,[],[f2265]) ).
fof(f3451,plain,
( spl16_349
| ~ spl16_45
| ~ spl16_231 ),
inference(avatar_split_clause,[],[f3013,f2265,f528,f3448]) ).
fof(f3448,plain,
( spl16_349
<=> less(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_349])]) ).
fof(f528,plain,
( spl16_45
<=> ! [X0] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_45])]) ).
fof(f3013,plain,
( less(n5,n1)
| ~ spl16_45
| ~ spl16_231 ),
inference(resolution,[],[f2267,f529]) ).
fof(f529,plain,
( ! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) )
| ~ spl16_45 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f2267,plain,
( less_or_equal(n5,n0)
| ~ spl16_231 ),
inference(avatar_component_clause,[],[f2265]) ).
fof(f3445,plain,
( spl16_348
| ~ spl16_29
| ~ spl16_196 ),
inference(avatar_split_clause,[],[f3011,f1699,f464,f3442]) ).
fof(f3442,plain,
( spl16_348
<=> less(n0,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_348])]) ).
fof(f464,plain,
( spl16_29
<=> ! [X0] :
( less(X0,n9)
| ~ less_or_equal(X0,n8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_29])]) ).
fof(f1699,plain,
( spl16_196
<=> less_or_equal(n0,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_196])]) ).
fof(f3011,plain,
( less(n0,n9)
| ~ spl16_29
| ~ spl16_196 ),
inference(resolution,[],[f1701,f465]) ).
fof(f465,plain,
( ! [X0] :
( ~ less_or_equal(X0,n8)
| less(X0,n9) )
| ~ spl16_29 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f1701,plain,
( less_or_equal(n0,n8)
| ~ spl16_196 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f3440,plain,
( ~ spl16_347
| spl16_4
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3380,f1684,f345,f3437]) ).
fof(f3437,plain,
( spl16_347
<=> holdsAt(backwards,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_347])]) ).
fof(f345,plain,
( spl16_4
<=> holdsAt(backwards,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f3380,plain,
( ~ holdsAt(backwards,n8)
| spl16_4
| ~ spl16_194 ),
inference(superposition,[],[f347,f1686]) ).
fof(f347,plain,
( ~ holdsAt(backwards,n0)
| spl16_4 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f3435,plain,
( ~ spl16_346
| spl16_3
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3379,f1684,f340,f3432]) ).
fof(f3432,plain,
( spl16_346
<=> holdsAt(forwards,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_346])]) ).
fof(f340,plain,
( spl16_3
<=> holdsAt(forwards,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f3379,plain,
( ~ holdsAt(forwards,n8)
| spl16_3
| ~ spl16_194 ),
inference(superposition,[],[f342,f1686]) ).
fof(f342,plain,
( ~ holdsAt(forwards,n0)
| spl16_3 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f3430,plain,
( ~ spl16_345
| spl16_2
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3378,f1684,f335,f3427]) ).
fof(f3427,plain,
( spl16_345
<=> holdsAt(spinning,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_345])]) ).
fof(f335,plain,
( spl16_2
<=> holdsAt(spinning,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f3378,plain,
( ~ holdsAt(spinning,n8)
| spl16_2
| ~ spl16_194 ),
inference(superposition,[],[f337,f1686]) ).
fof(f337,plain,
( ~ holdsAt(spinning,n0)
| spl16_2 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f3423,plain,
( ~ spl16_344
| spl16_193
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3377,f1684,f1680,f3420]) ).
fof(f3420,plain,
( spl16_344
<=> less_or_equal(n8,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_344])]) ).
fof(f1680,plain,
( spl16_193
<=> less_or_equal(n0,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_193])]) ).
fof(f3377,plain,
( ~ less_or_equal(n8,n7)
| spl16_193
| ~ spl16_194 ),
inference(forward_demodulation,[],[f1681,f1686]) ).
fof(f1681,plain,
( ~ less_or_equal(n0,n7)
| spl16_193 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f3376,plain,
( spl16_343
| ~ spl16_31
| ~ spl16_193 ),
inference(avatar_split_clause,[],[f3009,f1680,f472,f3373]) ).
fof(f472,plain,
( spl16_31
<=> ! [X0] :
( less(X0,n8)
| ~ less_or_equal(X0,n7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
fof(f3009,plain,
( less(n0,n8)
| ~ spl16_31
| ~ spl16_193 ),
inference(resolution,[],[f1682,f473]) ).
fof(f473,plain,
( ! [X0] :
( ~ less_or_equal(X0,n7)
| less(X0,n8) )
| ~ spl16_31 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f1682,plain,
( less_or_equal(n0,n7)
| ~ spl16_193 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f3371,plain,
( spl16_342
| ~ spl16_33
| ~ spl16_191 ),
inference(avatar_split_clause,[],[f3007,f1667,f480,f3368]) ).
fof(f3368,plain,
( spl16_342
<=> less(n0,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_342])]) ).
fof(f480,plain,
( spl16_33
<=> ! [X0] :
( less(X0,n7)
| ~ less_or_equal(X0,n6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).
fof(f1667,plain,
( spl16_191
<=> less_or_equal(n0,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_191])]) ).
fof(f3007,plain,
( less(n0,n7)
| ~ spl16_33
| ~ spl16_191 ),
inference(resolution,[],[f1669,f481]) ).
fof(f481,plain,
( ! [X0] :
( ~ less_or_equal(X0,n6)
| less(X0,n7) )
| ~ spl16_33 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f1669,plain,
( less_or_equal(n0,n6)
| ~ spl16_191 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f3365,plain,
( spl16_341
| ~ spl16_35
| ~ spl16_189 ),
inference(avatar_split_clause,[],[f3005,f1620,f488,f3362]) ).
fof(f3362,plain,
( spl16_341
<=> less(n0,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_341])]) ).
fof(f1620,plain,
( spl16_189
<=> less_or_equal(n0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_189])]) ).
fof(f3005,plain,
( less(n0,n6)
| ~ spl16_35
| ~ spl16_189 ),
inference(resolution,[],[f1622,f489]) ).
fof(f1622,plain,
( less_or_equal(n0,n5)
| ~ spl16_189 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f3360,plain,
( spl16_340
| ~ spl16_37
| ~ spl16_187 ),
inference(avatar_split_clause,[],[f3003,f1609,f496,f3357]) ).
fof(f3357,plain,
( spl16_340
<=> less(n0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_340])]) ).
fof(f496,plain,
( spl16_37
<=> ! [X0] :
( less(X0,n5)
| ~ less_or_equal(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_37])]) ).
fof(f1609,plain,
( spl16_187
<=> less_or_equal(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_187])]) ).
fof(f3003,plain,
( less(n0,n5)
| ~ spl16_37
| ~ spl16_187 ),
inference(resolution,[],[f1611,f497]) ).
fof(f497,plain,
( ! [X0] :
( ~ less_or_equal(X0,n4)
| less(X0,n5) )
| ~ spl16_37 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f1611,plain,
( less_or_equal(n0,n4)
| ~ spl16_187 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f3355,plain,
( spl16_339
| ~ spl16_39
| ~ spl16_184 ),
inference(avatar_split_clause,[],[f3001,f1589,f504,f3352]) ).
fof(f3352,plain,
( spl16_339
<=> less(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_339])]) ).
fof(f3001,plain,
( less(n0,n4)
| ~ spl16_39
| ~ spl16_184 ),
inference(resolution,[],[f1591,f505]) ).
fof(f3350,plain,
( spl16_338
| ~ spl16_41
| ~ spl16_180 ),
inference(avatar_split_clause,[],[f2999,f1529,f512,f3347]) ).
fof(f3347,plain,
( spl16_338
<=> less(n0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_338])]) ).
fof(f2999,plain,
( less(n0,n3)
| ~ spl16_41
| ~ spl16_180 ),
inference(resolution,[],[f1531,f513]) ).
fof(f3308,plain,
( ~ spl16_337
| spl16_164
| ~ spl16_317 ),
inference(avatar_split_clause,[],[f3289,f3093,f1393,f3305]) ).
fof(f3305,plain,
( spl16_337
<=> less(n9,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_337])]) ).
fof(f1393,plain,
( spl16_164
<=> less(n6,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_164])]) ).
fof(f3289,plain,
( ~ less(n9,n5)
| spl16_164
| ~ spl16_317 ),
inference(forward_demodulation,[],[f1395,f3095]) ).
fof(f1395,plain,
( ~ less(n6,n5)
| spl16_164 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f3287,plain,
( ~ spl16_306
| ~ spl16_310 ),
inference(avatar_contradiction_clause,[],[f3277]) ).
fof(f3277,plain,
( $false
| ~ spl16_306
| ~ spl16_310 ),
inference(resolution,[],[f2979,f2959]) ).
fof(f2959,plain,
( less(n3,n5)
| ~ spl16_306 ),
inference(avatar_component_clause,[],[f2957]) ).
fof(f2957,plain,
( spl16_306
<=> less(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_306])]) ).
fof(f2979,plain,
( ! [X0] : ~ less(X0,n5)
| ~ spl16_310 ),
inference(avatar_component_clause,[],[f2978]) ).
fof(f2978,plain,
( spl16_310
<=> ! [X0] : ~ less(X0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_310])]) ).
fof(f3286,plain,
( ~ spl16_89
| ~ spl16_310 ),
inference(avatar_contradiction_clause,[],[f3279]) ).
fof(f3279,plain,
( $false
| ~ spl16_89
| ~ spl16_310 ),
inference(resolution,[],[f2979,f730]) ).
fof(f730,plain,
( less(n4,n5)
| ~ spl16_89 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f728,plain,
( spl16_89
<=> less(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_89])]) ).
fof(f3241,plain,
( spl16_336
| ~ spl16_29
| ~ spl16_279 ),
inference(avatar_split_clause,[],[f2561,f2549,f464,f3238]) ).
fof(f3238,plain,
( spl16_336
<=> less(n1,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_336])]) ).
fof(f2549,plain,
( spl16_279
<=> less_or_equal(n1,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_279])]) ).
fof(f2561,plain,
( less(n1,n9)
| ~ spl16_29
| ~ spl16_279 ),
inference(resolution,[],[f2551,f465]) ).
fof(f2551,plain,
( less_or_equal(n1,n8)
| ~ spl16_279 ),
inference(avatar_component_clause,[],[f2549]) ).
fof(f3236,plain,
( spl16_335
| ~ spl16_41
| ~ spl16_276 ),
inference(avatar_split_clause,[],[f2546,f2534,f512,f3233]) ).
fof(f3233,plain,
( spl16_335
<=> less(n9,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_335])]) ).
fof(f2534,plain,
( spl16_276
<=> less_or_equal(n9,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_276])]) ).
fof(f2546,plain,
( less(n9,n3)
| ~ spl16_41
| ~ spl16_276 ),
inference(resolution,[],[f2536,f513]) ).
fof(f2536,plain,
( less_or_equal(n9,n2)
| ~ spl16_276 ),
inference(avatar_component_clause,[],[f2534]) ).
fof(f3231,plain,
( spl16_334
| ~ spl16_43
| ~ spl16_273 ),
inference(avatar_split_clause,[],[f2531,f2519,f520,f3228]) ).
fof(f3228,plain,
( spl16_334
<=> less(n9,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_334])]) ).
fof(f2531,plain,
( less(n9,n2)
| ~ spl16_43
| ~ spl16_273 ),
inference(resolution,[],[f2521,f521]) ).
fof(f3226,plain,
( spl16_333
| ~ spl16_29
| ~ spl16_268 ),
inference(avatar_split_clause,[],[f2507,f2495,f464,f3223]) ).
fof(f3223,plain,
( spl16_333
<=> less(n4,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_333])]) ).
fof(f2495,plain,
( spl16_268
<=> less_or_equal(n4,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_268])]) ).
fof(f2507,plain,
( less(n4,n9)
| ~ spl16_29
| ~ spl16_268 ),
inference(resolution,[],[f2497,f465]) ).
fof(f2497,plain,
( less_or_equal(n4,n8)
| ~ spl16_268 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f3221,plain,
( spl16_332
| ~ spl16_31
| ~ spl16_265 ),
inference(avatar_split_clause,[],[f2492,f2480,f472,f3218]) ).
fof(f2492,plain,
( less(n4,n8)
| ~ spl16_31
| ~ spl16_265 ),
inference(resolution,[],[f2482,f473]) ).
fof(f3216,plain,
( spl16_331
| ~ spl16_39
| ~ spl16_263 ),
inference(avatar_split_clause,[],[f2477,f2469,f504,f3213]) ).
fof(f3213,plain,
( spl16_331
<=> less(n7,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_331])]) ).
fof(f2477,plain,
( less(n7,n4)
| ~ spl16_39
| ~ spl16_263 ),
inference(resolution,[],[f2471,f505]) ).
fof(f3211,plain,
( spl16_330
| ~ spl16_31
| ~ spl16_259 ),
inference(avatar_split_clause,[],[f2462,f2450,f472,f3208]) ).
fof(f2450,plain,
( spl16_259
<=> less_or_equal(n3,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_259])]) ).
fof(f2462,plain,
( less(n3,n8)
| ~ spl16_31
| ~ spl16_259 ),
inference(resolution,[],[f2452,f473]) ).
fof(f2452,plain,
( less_or_equal(n3,n7)
| ~ spl16_259 ),
inference(avatar_component_clause,[],[f2450]) ).
fof(f3206,plain,
( spl16_329
| ~ spl16_33
| ~ spl16_256 ),
inference(avatar_split_clause,[],[f2447,f2435,f480,f3203]) ).
fof(f3203,plain,
( spl16_329
<=> less(n3,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_329])]) ).
fof(f2435,plain,
( spl16_256
<=> less_or_equal(n3,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_256])]) ).
fof(f2447,plain,
( less(n3,n7)
| ~ spl16_33
| ~ spl16_256 ),
inference(resolution,[],[f2437,f481]) ).
fof(f2437,plain,
( less_or_equal(n3,n6)
| ~ spl16_256 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f3195,plain,
( spl16_278
| ~ spl16_201
| ~ spl16_317 ),
inference(avatar_split_clause,[],[f3185,f3093,f1790,f2542]) ).
fof(f2542,plain,
( spl16_278
<=> n3 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_278])]) ).
fof(f1790,plain,
( spl16_201
<=> n3 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_201])]) ).
fof(f3185,plain,
( n3 = n9
| ~ spl16_201
| ~ spl16_317 ),
inference(forward_demodulation,[],[f1791,f3095]) ).
fof(f1791,plain,
( n3 = n6
| ~ spl16_201 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f3181,plain,
( spl16_328
| ~ spl16_35
| ~ spl16_255 ),
inference(avatar_split_clause,[],[f2432,f2428,f488,f3178]) ).
fof(f3178,plain,
( spl16_328
<=> less(n3,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_328])]) ).
fof(f2428,plain,
( spl16_255
<=> less_or_equal(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_255])]) ).
fof(f2432,plain,
( less(n3,n6)
| ~ spl16_35
| ~ spl16_255 ),
inference(resolution,[],[f2430,f489]) ).
fof(f2430,plain,
( less_or_equal(n3,n5)
| ~ spl16_255 ),
inference(avatar_component_clause,[],[f2428]) ).
fof(f3176,plain,
( spl16_327
| ~ spl16_31
| ~ spl16_252 ),
inference(avatar_split_clause,[],[f2425,f2413,f472,f3173]) ).
fof(f2413,plain,
( spl16_252
<=> less_or_equal(n2,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_252])]) ).
fof(f2425,plain,
( less(n2,n8)
| ~ spl16_31
| ~ spl16_252 ),
inference(resolution,[],[f2415,f473]) ).
fof(f2415,plain,
( less_or_equal(n2,n7)
| ~ spl16_252 ),
inference(avatar_component_clause,[],[f2413]) ).
fof(f3171,plain,
( spl16_326
| ~ spl16_33
| ~ spl16_249 ),
inference(avatar_split_clause,[],[f2410,f2398,f480,f3168]) ).
fof(f3168,plain,
( spl16_326
<=> less(n2,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_326])]) ).
fof(f2410,plain,
( less(n2,n7)
| ~ spl16_33
| ~ spl16_249 ),
inference(resolution,[],[f2400,f481]) ).
fof(f3165,plain,
( spl16_325
| ~ spl16_43
| ~ spl16_247 ),
inference(avatar_split_clause,[],[f2395,f2387,f520,f3162]) ).
fof(f3162,plain,
( spl16_325
<=> less(n6,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_325])]) ).
fof(f2395,plain,
( less(n6,n2)
| ~ spl16_43
| ~ spl16_247 ),
inference(resolution,[],[f2389,f521]) ).
fof(f3160,plain,
( spl16_324
| ~ spl16_31
| ~ spl16_242 ),
inference(avatar_split_clause,[],[f2375,f2362,f472,f3157]) ).
fof(f2362,plain,
( spl16_242
<=> less_or_equal(n1,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_242])]) ).
fof(f2375,plain,
( less(n1,n8)
| ~ spl16_31
| ~ spl16_242 ),
inference(resolution,[],[f2364,f473]) ).
fof(f2364,plain,
( less_or_equal(n1,n7)
| ~ spl16_242 ),
inference(avatar_component_clause,[],[f2362]) ).
fof(f3155,plain,
( spl16_323
| ~ spl16_33
| ~ spl16_237 ),
inference(avatar_split_clause,[],[f2359,f2301,f480,f3152]) ).
fof(f3152,plain,
( spl16_323
<=> less(n1,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_323])]) ).
fof(f2301,plain,
( spl16_237
<=> less_or_equal(n1,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_237])]) ).
fof(f2359,plain,
( less(n1,n7)
| ~ spl16_33
| ~ spl16_237 ),
inference(resolution,[],[f2303,f481]) ).
fof(f2303,plain,
( less_or_equal(n1,n6)
| ~ spl16_237 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f3149,plain,
( spl16_322
| ~ spl16_35
| ~ spl16_234 ),
inference(avatar_split_clause,[],[f2298,f2285,f488,f3146]) ).
fof(f3146,plain,
( spl16_322
<=> less(n1,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_322])]) ).
fof(f2285,plain,
( spl16_234
<=> less_or_equal(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_234])]) ).
fof(f2298,plain,
( less(n1,n6)
| ~ spl16_35
| ~ spl16_234 ),
inference(resolution,[],[f2287,f489]) ).
fof(f2287,plain,
( less_or_equal(n1,n5)
| ~ spl16_234 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f3144,plain,
( spl16_321
| ~ spl16_37
| ~ spl16_230 ),
inference(avatar_split_clause,[],[f2274,f2261,f496,f3141]) ).
fof(f3141,plain,
( spl16_321
<=> less(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_321])]) ).
fof(f2261,plain,
( spl16_230
<=> less_or_equal(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_230])]) ).
fof(f2274,plain,
( less(n1,n5)
| ~ spl16_37
| ~ spl16_230 ),
inference(resolution,[],[f2263,f497]) ).
fof(f2263,plain,
( less_or_equal(n1,n4)
| ~ spl16_230 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f3139,plain,
( spl16_320
| ~ spl16_41
| ~ spl16_213 ),
inference(avatar_split_clause,[],[f2142,f2132,f512,f3136]) ).
fof(f3136,plain,
( spl16_320
<=> less(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_320])]) ).
fof(f2142,plain,
( less(n5,n3)
| ~ spl16_41
| ~ spl16_213 ),
inference(resolution,[],[f2134,f513]) ).
fof(f3130,plain,
( spl16_168
| ~ spl16_39
| ~ spl16_211 ),
inference(avatar_split_clause,[],[f2140,f2122,f504,f1419]) ).
fof(f1419,plain,
( spl16_168
<=> less(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_168])]) ).
fof(f2122,plain,
( spl16_211
<=> less_or_equal(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_211])]) ).
fof(f2140,plain,
( less(n5,n4)
| ~ spl16_39
| ~ spl16_211 ),
inference(resolution,[],[f2124,f505]) ).
fof(f2124,plain,
( less_or_equal(n5,n3)
| ~ spl16_211 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f3129,plain,
( spl16_319
| ~ spl16_31
| ~ spl16_208 ),
inference(avatar_split_clause,[],[f2138,f2107,f472,f3126]) ).
fof(f2107,plain,
( spl16_208
<=> less_or_equal(n5,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_208])]) ).
fof(f2138,plain,
( less(n5,n8)
| ~ spl16_31
| ~ spl16_208 ),
inference(resolution,[],[f2109,f473]) ).
fof(f2109,plain,
( less_or_equal(n5,n7)
| ~ spl16_208 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f3124,plain,
( spl16_318
| ~ spl16_29
| ~ spl16_206 ),
inference(avatar_split_clause,[],[f2136,f2097,f464,f3121]) ).
fof(f3121,plain,
( spl16_318
<=> less(n5,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_318])]) ).
fof(f2136,plain,
( less(n5,n9)
| ~ spl16_29
| ~ spl16_206 ),
inference(resolution,[],[f2099,f465]) ).
fof(f2099,plain,
( less_or_equal(n5,n8)
| ~ spl16_206 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f3096,plain,
( spl16_198
| spl16_281
| spl16_317
| ~ spl16_28
| ~ spl16_151 ),
inference(avatar_split_clause,[],[f2092,f1172,f460,f3093,f2557,f1712]) ).
fof(f460,plain,
( spl16_28
<=> ! [X0] :
( less_or_equal(X0,n8)
| ~ less(X0,n9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).
fof(f1172,plain,
( spl16_151
<=> ! [X0] :
( less(n6,X0)
| n6 = X0
| less_or_equal(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_151])]) ).
fof(f2092,plain,
( n6 = n9
| less_or_equal(n9,n5)
| less_or_equal(n6,n8)
| ~ spl16_28
| ~ spl16_151 ),
inference(resolution,[],[f1173,f461]) ).
fof(f461,plain,
( ! [X0] :
( ~ less(X0,n9)
| less_or_equal(X0,n8) )
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f1173,plain,
( ! [X0] :
( less(n6,X0)
| n6 = X0
| less_or_equal(X0,n5) )
| ~ spl16_151 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f3087,plain,
( spl16_316
| ~ spl16_29
| ~ spl16_198 ),
inference(avatar_split_clause,[],[f2036,f1712,f464,f3084]) ).
fof(f3084,plain,
( spl16_316
<=> less(n6,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_316])]) ).
fof(f2036,plain,
( less(n6,n9)
| ~ spl16_29
| ~ spl16_198 ),
inference(resolution,[],[f1714,f465]) ).
fof(f1714,plain,
( less_or_equal(n6,n8)
| ~ spl16_198 ),
inference(avatar_component_clause,[],[f1712]) ).
fof(f3040,plain,
( spl16_313
| spl16_314
| spl16_315
| ~ spl16_38
| ~ spl16_145 ),
inference(avatar_split_clause,[],[f1207,f1147,f500,f3037,f3033,f3029]) ).
fof(f3033,plain,
( spl16_314
<=> less_or_equal(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_314])]) ).
fof(f3037,plain,
( spl16_315
<=> n1 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_315])]) ).
fof(f500,plain,
( spl16_38
<=> ! [X0] :
( less_or_equal(X0,n3)
| ~ less(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_38])]) ).
fof(f1147,plain,
( spl16_145
<=> ! [X0] :
( less(n1,X0)
| n1 = X0
| less_or_equal(X0,n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_145])]) ).
fof(f1207,plain,
( n1 = n4
| less_or_equal(n4,n0)
| less_or_equal(n1,n3)
| ~ spl16_38
| ~ spl16_145 ),
inference(resolution,[],[f1148,f501]) ).
fof(f501,plain,
( ! [X0] :
( ~ less(X0,n4)
| less_or_equal(X0,n3) )
| ~ spl16_38 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f1148,plain,
( ! [X0] :
( less(n1,X0)
| n1 = X0
| less_or_equal(X0,n0) )
| ~ spl16_145 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f3027,plain,
( spl16_312
| ~ spl16_36
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1195,f1143,f492,f3025]) ).
fof(f492,plain,
( spl16_36
<=> ! [X0] :
( less_or_equal(X0,n4)
| ~ less(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_36])]) ).
fof(f1143,plain,
( spl16_144
<=> ! [X0,X1] :
( less(X1,X0)
| X0 = X1
| less_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_144])]) ).
fof(f1195,plain,
( ! [X0] :
( n5 = X0
| less_or_equal(n5,X0)
| less_or_equal(X0,n4) )
| ~ spl16_36
| ~ spl16_144 ),
inference(resolution,[],[f1144,f493]) ).
fof(f493,plain,
( ! [X0] :
( ~ less(X0,n5)
| less_or_equal(X0,n4) )
| ~ spl16_36 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f1144,plain,
( ! [X0,X1] :
( less(X1,X0)
| X0 = X1
| less_or_equal(X0,X1) )
| ~ spl16_144 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f2985,plain,
( spl16_311
| ~ spl16_16
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f1997,f1613,f401,f2982]) ).
fof(f2982,plain,
( spl16_311
<=> sP0(n5,push) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_311])]) ).
fof(f1613,plain,
( spl16_188
<=> n0 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_188])]) ).
fof(f1997,plain,
( sP0(n5,push)
| ~ spl16_16
| ~ spl16_188 ),
inference(superposition,[],[f403,f1615]) ).
fof(f1615,plain,
( n0 = n5
| ~ spl16_188 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f2980,plain,
( spl16_310
| ~ spl16_10
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f1996,f1613,f374,f2978]) ).
fof(f1996,plain,
( ! [X0] : ~ less(X0,n5)
| ~ spl16_10
| ~ spl16_188 ),
inference(superposition,[],[f375,f1615]) ).
fof(f2975,plain,
( spl16_309
| ~ spl16_43
| ~ spl16_176 ),
inference(avatar_split_clause,[],[f1520,f1459,f520,f2972]) ).
fof(f2972,plain,
( spl16_309
<=> less(n0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_309])]) ).
fof(f1520,plain,
( less(n0,n2)
| ~ spl16_43
| ~ spl16_176 ),
inference(resolution,[],[f1461,f521]) ).
fof(f2970,plain,
( spl16_308
| ~ spl16_41
| ~ spl16_175 ),
inference(avatar_split_clause,[],[f1518,f1454,f512,f2967]) ).
fof(f2967,plain,
( spl16_308
<=> less(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_308])]) ).
fof(f1454,plain,
( spl16_175
<=> less_or_equal(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_175])]) ).
fof(f1518,plain,
( less(n1,n3)
| ~ spl16_41
| ~ spl16_175 ),
inference(resolution,[],[f1456,f513]) ).
fof(f1456,plain,
( less_or_equal(n1,n2)
| ~ spl16_175 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f2965,plain,
( spl16_307
| ~ spl16_39
| ~ spl16_173 ),
inference(avatar_split_clause,[],[f1512,f1444,f504,f2962]) ).
fof(f2962,plain,
( spl16_307
<=> less(n2,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_307])]) ).
fof(f1444,plain,
( spl16_173
<=> less_or_equal(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_173])]) ).
fof(f1512,plain,
( less(n2,n4)
| ~ spl16_39
| ~ spl16_173 ),
inference(resolution,[],[f1446,f505]) ).
fof(f1446,plain,
( less_or_equal(n2,n3)
| ~ spl16_173 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f2960,plain,
( spl16_306
| ~ spl16_37
| ~ spl16_171 ),
inference(avatar_split_clause,[],[f1506,f1434,f496,f2957]) ).
fof(f1434,plain,
( spl16_171
<=> less_or_equal(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_171])]) ).
fof(f1506,plain,
( less(n3,n5)
| ~ spl16_37
| ~ spl16_171 ),
inference(resolution,[],[f1436,f497]) ).
fof(f1436,plain,
( less_or_equal(n3,n4)
| ~ spl16_171 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f2955,plain,
( spl16_305
| ~ spl16_35
| ~ spl16_169 ),
inference(avatar_split_clause,[],[f1500,f1424,f488,f2952]) ).
fof(f2952,plain,
( spl16_305
<=> less(n4,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_305])]) ).
fof(f1424,plain,
( spl16_169
<=> less_or_equal(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_169])]) ).
fof(f1500,plain,
( less(n4,n6)
| ~ spl16_35
| ~ spl16_169 ),
inference(resolution,[],[f1426,f489]) ).
fof(f1426,plain,
( less_or_equal(n4,n5)
| ~ spl16_169 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f2950,plain,
( spl16_304
| ~ spl16_33
| ~ spl16_167 ),
inference(avatar_split_clause,[],[f1494,f1414,f480,f2947]) ).
fof(f2947,plain,
( spl16_304
<=> less(n5,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_304])]) ).
fof(f1414,plain,
( spl16_167
<=> less_or_equal(n5,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_167])]) ).
fof(f1494,plain,
( less(n5,n7)
| ~ spl16_33
| ~ spl16_167 ),
inference(resolution,[],[f1416,f481]) ).
fof(f1416,plain,
( less_or_equal(n5,n6)
| ~ spl16_167 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f2945,plain,
( spl16_303
| ~ spl16_31
| ~ spl16_158 ),
inference(avatar_split_clause,[],[f1488,f1346,f472,f2942]) ).
fof(f1346,plain,
( spl16_158
<=> less_or_equal(n6,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_158])]) ).
fof(f1488,plain,
( less(n6,n8)
| ~ spl16_31
| ~ spl16_158 ),
inference(resolution,[],[f1348,f473]) ).
fof(f1348,plain,
( less_or_equal(n6,n7)
| ~ spl16_158 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f2940,plain,
( spl16_302
| ~ spl16_29
| ~ spl16_148 ),
inference(avatar_split_clause,[],[f1482,f1159,f464,f2937]) ).
fof(f1159,plain,
( spl16_148
<=> less_or_equal(n7,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_148])]) ).
fof(f1482,plain,
( less(n7,n9)
| ~ spl16_29
| ~ spl16_148 ),
inference(resolution,[],[f1161,f465]) ).
fof(f1161,plain,
( less_or_equal(n7,n8)
| ~ spl16_148 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f2931,plain,
( spl16_301
| ~ spl16_122
| ~ spl16_166 ),
inference(avatar_split_clause,[],[f1411,f1402,f966,f2929]) ).
fof(f2929,plain,
( spl16_301
<=> ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1))
| sP10(X1,X0,sK15(X0,X1))
| sP9(X1,X0,sK15(X0,X1))
| sP8(X1,X0,sK15(X0,X1))
| sP7(X1,X0,sK15(X0,X1))
| sP6(X1,X0,sK15(X0,X1))
| pull = sK15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_301])]) ).
fof(f966,plain,
( spl16_122
<=> ! [X2,X0,X1] :
( pull = X2
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_122])]) ).
fof(f1402,plain,
( spl16_166
<=> ! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| sP11(X1,X0,sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_166])]) ).
fof(f1411,plain,
( ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1))
| sP10(X1,X0,sK15(X0,X1))
| sP9(X1,X0,sK15(X0,X1))
| sP8(X1,X0,sK15(X0,X1))
| sP7(X1,X0,sK15(X0,X1))
| sP6(X1,X0,sK15(X0,X1))
| pull = sK15(X0,X1) )
| ~ spl16_122
| ~ spl16_166 ),
inference(resolution,[],[f1403,f967]) ).
fof(f967,plain,
( ! [X2,X0,X1] :
( ~ sP11(X0,X1,X2)
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| pull = X2 )
| ~ spl16_122 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f1403,plain,
( ! [X0,X1] :
( sP11(X1,X0,sK15(X0,X1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1)) )
| ~ spl16_166 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f2918,plain,
( spl16_300
| ~ spl16_123
| ~ spl16_166 ),
inference(avatar_split_clause,[],[f1410,f1402,f970,f2916]) ).
fof(f2916,plain,
( spl16_300
<=> ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1))
| sP10(X1,X0,sK15(X0,X1))
| sP9(X1,X0,sK15(X0,X1))
| sP8(X1,X0,sK15(X0,X1))
| sP7(X1,X0,sK15(X0,X1))
| sP6(X1,X0,sK15(X0,X1))
| spinning = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_300])]) ).
fof(f970,plain,
( spl16_123
<=> ! [X2,X0,X1] :
( spinning = X1
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_123])]) ).
fof(f1410,plain,
( ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1))
| sP10(X1,X0,sK15(X0,X1))
| sP9(X1,X0,sK15(X0,X1))
| sP8(X1,X0,sK15(X0,X1))
| sP7(X1,X0,sK15(X0,X1))
| sP6(X1,X0,sK15(X0,X1))
| spinning = X0 )
| ~ spl16_123
| ~ spl16_166 ),
inference(resolution,[],[f1403,f971]) ).
fof(f971,plain,
( ! [X2,X0,X1] :
( ~ sP11(X0,X1,X2)
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| spinning = X1 )
| ~ spl16_123 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f2914,plain,
( spl16_299
| ~ spl16_124
| ~ spl16_166 ),
inference(avatar_split_clause,[],[f1409,f1402,f974,f2912]) ).
fof(f2912,plain,
( spl16_299
<=> ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1))
| sP10(X1,X0,sK15(X0,X1))
| sP9(X1,X0,sK15(X0,X1))
| sP8(X1,X0,sK15(X0,X1))
| sP7(X1,X0,sK15(X0,X1))
| sP6(X1,X0,sK15(X0,X1))
| ~ happens(push,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_299])]) ).
fof(f974,plain,
( spl16_124
<=> ! [X2,X0,X1] :
( ~ happens(push,X0)
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_124])]) ).
fof(f1409,plain,
( ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1))
| sP10(X1,X0,sK15(X0,X1))
| sP9(X1,X0,sK15(X0,X1))
| sP8(X1,X0,sK15(X0,X1))
| sP7(X1,X0,sK15(X0,X1))
| sP6(X1,X0,sK15(X0,X1))
| ~ happens(push,X1) )
| ~ spl16_124
| ~ spl16_166 ),
inference(resolution,[],[f1403,f975]) ).
fof(f975,plain,
( ! [X2,X0,X1] :
( ~ sP11(X0,X1,X2)
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| ~ happens(push,X0) )
| ~ spl16_124 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f2905,plain,
( spl16_298
| ~ spl16_114
| ~ spl16_165 ),
inference(avatar_split_clause,[],[f1407,f1398,f917,f2903]) ).
fof(f2903,plain,
( spl16_298
<=> ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1))
| sP4(X1,X0,sK13(X0,X1))
| sP3(X1,X0,sK13(X0,X1))
| pull = sK13(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_298])]) ).
fof(f917,plain,
( spl16_114
<=> ! [X2,X0,X1] :
( pull = X2
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_114])]) ).
fof(f1398,plain,
( spl16_165
<=> ! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| sP5(X1,X0,sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_165])]) ).
fof(f1407,plain,
( ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1))
| sP4(X1,X0,sK13(X0,X1))
| sP3(X1,X0,sK13(X0,X1))
| pull = sK13(X0,X1) )
| ~ spl16_114
| ~ spl16_165 ),
inference(resolution,[],[f1399,f918]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| pull = X2 )
| ~ spl16_114 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f1399,plain,
( ! [X0,X1] :
( sP5(X1,X0,sK13(X0,X1))
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) )
| ~ spl16_165 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f2893,plain,
( spl16_297
| ~ spl16_115
| ~ spl16_165 ),
inference(avatar_split_clause,[],[f1406,f1398,f921,f2891]) ).
fof(f2891,plain,
( spl16_297
<=> ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1))
| sP4(X1,X0,sK13(X0,X1))
| sP3(X1,X0,sK13(X0,X1))
| spinning = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_297])]) ).
fof(f921,plain,
( spl16_115
<=> ! [X2,X0,X1] :
( spinning = X1
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_115])]) ).
fof(f1406,plain,
( ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1))
| sP4(X1,X0,sK13(X0,X1))
| sP3(X1,X0,sK13(X0,X1))
| spinning = X0 )
| ~ spl16_115
| ~ spl16_165 ),
inference(resolution,[],[f1399,f922]) ).
fof(f922,plain,
( ! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| spinning = X1 )
| ~ spl16_115 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f2889,plain,
( spl16_296
| ~ spl16_116
| ~ spl16_165 ),
inference(avatar_split_clause,[],[f1405,f1398,f925,f2887]) ).
fof(f2887,plain,
( spl16_296
<=> ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1))
| sP4(X1,X0,sK13(X0,X1))
| sP3(X1,X0,sK13(X0,X1))
| happens(push,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_296])]) ).
fof(f925,plain,
( spl16_116
<=> ! [X2,X0,X1] :
( happens(push,X0)
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_116])]) ).
fof(f1405,plain,
( ! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1))
| sP4(X1,X0,sK13(X0,X1))
| sP3(X1,X0,sK13(X0,X1))
| happens(push,X1) )
| ~ spl16_116
| ~ spl16_165 ),
inference(resolution,[],[f1399,f926]) ).
fof(f926,plain,
( ! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| happens(push,X0) )
| ~ spl16_116 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f2885,plain,
( ~ spl16_295
| spl16_4
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f1995,f1613,f345,f2882]) ).
fof(f2882,plain,
( spl16_295
<=> holdsAt(backwards,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_295])]) ).
fof(f1995,plain,
( ~ holdsAt(backwards,n5)
| spl16_4
| ~ spl16_188 ),
inference(superposition,[],[f347,f1615]) ).
fof(f2874,plain,
( spl16_294
| ~ spl16_188
| ~ spl16_291 ),
inference(avatar_split_clause,[],[f2858,f2854,f1613,f2872]) ).
fof(f2872,plain,
( spl16_294
<=> ! [X0] :
( sP2(n5,sK13(X0,n5))
| holdsAt(X0,n5)
| ~ holdsAt(X0,n1)
| releasedAt(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_294])]) ).
fof(f2854,plain,
( spl16_291
<=> ! [X0] :
( ~ holdsAt(X0,n1)
| releasedAt(X0,n1)
| holdsAt(X0,n0)
| sP2(n0,sK13(X0,n0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_291])]) ).
fof(f2858,plain,
( ! [X0] :
( sP2(n5,sK13(X0,n5))
| holdsAt(X0,n5)
| ~ holdsAt(X0,n1)
| releasedAt(X0,n1) )
| ~ spl16_188
| ~ spl16_291 ),
inference(forward_demodulation,[],[f2857,f1615]) ).
fof(f2857,plain,
( ! [X0] :
( holdsAt(X0,n5)
| ~ holdsAt(X0,n1)
| releasedAt(X0,n1)
| sP2(n0,sK13(X0,n0)) )
| ~ spl16_188
| ~ spl16_291 ),
inference(forward_demodulation,[],[f2855,f1615]) ).
fof(f2855,plain,
( ! [X0] :
( sP2(n0,sK13(X0,n0))
| releasedAt(X0,n1)
| holdsAt(X0,n0)
| ~ holdsAt(X0,n1) )
| ~ spl16_291 ),
inference(avatar_component_clause,[],[f2854]) ).
fof(f2866,plain,
( spl16_293
| ~ spl16_24
| ~ spl16_163 ),
inference(avatar_split_clause,[],[f1388,f1374,f440,f2864]) ).
fof(f2864,plain,
( spl16_293
<=> ! [X0] :
( releasedAt(X0,n1)
| sP2(n0,sK15(X0,n0))
| ~ holdsAt(X0,n0)
| holdsAt(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_293])]) ).
fof(f440,plain,
( spl16_24
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).
fof(f1374,plain,
( spl16_163
<=> ! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| sP2(X1,sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_163])]) ).
fof(f1388,plain,
( ! [X0] :
( releasedAt(X0,n1)
| sP2(n0,sK15(X0,n0))
| ~ holdsAt(X0,n0)
| holdsAt(X0,n1) )
| ~ spl16_24
| ~ spl16_163 ),
inference(superposition,[],[f1375,f442]) ).
fof(f442,plain,
( n1 = plus(n0,n1)
| ~ spl16_24 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f1375,plain,
( ! [X0,X1] :
( sP2(X1,sK15(X0,X1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1)) )
| ~ spl16_163 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f2862,plain,
( spl16_292
| ~ spl16_54
| ~ spl16_161 ),
inference(avatar_split_clause,[],[f1368,f1364,f564,f2860]) ).
fof(f2860,plain,
( spl16_292
<=> ! [X0] :
( ~ holdsAt(X0,n2)
| releasedAt(X0,n2)
| holdsAt(X0,n1)
| sP2(n1,sK13(X0,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_292])]) ).
fof(f564,plain,
( spl16_54
<=> ! [X0,X1] :
( sP2(X1,X0)
| ~ happens(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_54])]) ).
fof(f1364,plain,
( spl16_161
<=> ! [X0] :
( ~ holdsAt(X0,n2)
| happens(sK13(X0,n1),n1)
| releasedAt(X0,n2)
| holdsAt(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_161])]) ).
fof(f1368,plain,
( ! [X0] :
( ~ holdsAt(X0,n2)
| releasedAt(X0,n2)
| holdsAt(X0,n1)
| sP2(n1,sK13(X0,n1)) )
| ~ spl16_54
| ~ spl16_161 ),
inference(resolution,[],[f1365,f565]) ).
fof(f565,plain,
( ! [X0,X1] :
( ~ happens(X0,X1)
| sP2(X1,X0) )
| ~ spl16_54 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f1365,plain,
( ! [X0] :
( happens(sK13(X0,n1),n1)
| ~ holdsAt(X0,n2)
| releasedAt(X0,n2)
| holdsAt(X0,n1) )
| ~ spl16_161 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f2856,plain,
( spl16_291
| ~ spl16_54
| ~ spl16_160 ),
inference(avatar_split_clause,[],[f1367,f1360,f564,f2854]) ).
fof(f1360,plain,
( spl16_160
<=> ! [X0] :
( ~ holdsAt(X0,n1)
| happens(sK13(X0,n0),n0)
| releasedAt(X0,n1)
| holdsAt(X0,n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_160])]) ).
fof(f1367,plain,
( ! [X0] :
( ~ holdsAt(X0,n1)
| releasedAt(X0,n1)
| holdsAt(X0,n0)
| sP2(n0,sK13(X0,n0)) )
| ~ spl16_54
| ~ spl16_160 ),
inference(resolution,[],[f1361,f565]) ).
fof(f1361,plain,
( ! [X0] :
( happens(sK13(X0,n0),n0)
| ~ holdsAt(X0,n1)
| releasedAt(X0,n1)
| holdsAt(X0,n0) )
| ~ spl16_160 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f2852,plain,
( spl16_290
| ~ spl16_118
| ~ spl16_130 ),
inference(avatar_split_clause,[],[f1043,f1032,f939,f2850]) ).
fof(f2850,plain,
( spl16_290
<=> ! [X0] :
( ~ holdsAt(X0,n4)
| happens(sK13(X0,n3),n3)
| releasedAt(X0,n4)
| holdsAt(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_290])]) ).
fof(f939,plain,
( spl16_118
<=> ! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| happens(sK13(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_118])]) ).
fof(f1032,plain,
( spl16_130
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_130])]) ).
fof(f1043,plain,
( ! [X0] :
( ~ holdsAt(X0,n4)
| happens(sK13(X0,n3),n3)
| releasedAt(X0,n4)
| holdsAt(X0,n3) )
| ~ spl16_118
| ~ spl16_130 ),
inference(superposition,[],[f940,f1034]) ).
fof(f1034,plain,
( n4 = plus(n3,n1)
| ~ spl16_130 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f940,plain,
( ! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| happens(sK13(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) )
| ~ spl16_118 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f2848,plain,
( spl16_289
| ~ spl16_118
| ~ spl16_128 ),
inference(avatar_split_clause,[],[f1041,f1022,f939,f2846]) ).
fof(f2846,plain,
( spl16_289
<=> ! [X0] :
( ~ holdsAt(X0,n3)
| happens(sK13(X0,n2),n2)
| releasedAt(X0,n3)
| holdsAt(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_289])]) ).
fof(f1022,plain,
( spl16_128
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_128])]) ).
fof(f1041,plain,
( ! [X0] :
( ~ holdsAt(X0,n3)
| happens(sK13(X0,n2),n2)
| releasedAt(X0,n3)
| holdsAt(X0,n2) )
| ~ spl16_118
| ~ spl16_128 ),
inference(superposition,[],[f940,f1024]) ).
fof(f1024,plain,
( n3 = plus(n2,n1)
| ~ spl16_128 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f2844,plain,
( ~ spl16_288
| spl16_3
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f1994,f1613,f340,f2841]) ).
fof(f2841,plain,
( spl16_288
<=> holdsAt(forwards,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_288])]) ).
fof(f1994,plain,
( ~ holdsAt(forwards,n5)
| spl16_3
| ~ spl16_188 ),
inference(superposition,[],[f342,f1615]) ).
fof(f2824,plain,
( spl16_287
| ~ spl16_5
| ~ spl16_163 ),
inference(avatar_split_clause,[],[f1385,f1374,f350,f2822]) ).
fof(f2822,plain,
( spl16_287
<=> ! [X0,X1] :
( sP2(X1,sK15(X0,X1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_287])]) ).
fof(f350,plain,
( spl16_5
<=> ! [X0,X1] : ~ releasedAt(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f1385,plain,
( ! [X0,X1] :
( sP2(X1,sK15(X0,X1))
| ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1)) )
| ~ spl16_5
| ~ spl16_163 ),
inference(resolution,[],[f1375,f351]) ).
fof(f351,plain,
( ! [X0,X1] : ~ releasedAt(X0,X1)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f2808,plain,
( spl16_286
| ~ spl16_111
| ~ spl16_136 ),
inference(avatar_split_clause,[],[f1112,f1076,f899,f2806]) ).
fof(f2806,plain,
( spl16_286
<=> ! [X0] :
( ~ happens(push,X0)
| holdsAt(spinning,plus(X0,n1))
| ~ happens(pull,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_286])]) ).
fof(f899,plain,
( spl16_111
<=> ! [X2,X0,X1] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_111])]) ).
fof(f1076,plain,
( spl16_136
<=> ! [X0] :
( initiates(pull,spinning,X0)
| ~ happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_136])]) ).
fof(f1112,plain,
( ! [X0] :
( ~ happens(push,X0)
| holdsAt(spinning,plus(X0,n1))
| ~ happens(pull,X0) )
| ~ spl16_111
| ~ spl16_136 ),
inference(resolution,[],[f1077,f900]) ).
fof(f900,plain,
( ! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1) )
| ~ spl16_111 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f1077,plain,
( ! [X0] :
( initiates(pull,spinning,X0)
| ~ happens(push,X0) )
| ~ spl16_136 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f2788,plain,
( spl16_285
| ~ spl16_109
| ~ spl16_130 ),
inference(avatar_split_clause,[],[f1044,f1032,f890,f2786]) ).
fof(f2786,plain,
( spl16_285
<=> ! [X0,X1] :
( ~ holdsAt(X0,n4)
| ~ terminates(X1,X0,n3)
| ~ happens(X1,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_285])]) ).
fof(f890,plain,
( spl16_109
<=> ! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_109])]) ).
fof(f1044,plain,
( ! [X0,X1] :
( ~ holdsAt(X0,n4)
| ~ terminates(X1,X0,n3)
| ~ happens(X1,n3) )
| ~ spl16_109
| ~ spl16_130 ),
inference(superposition,[],[f891,f1034]) ).
fof(f891,plain,
( ! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) )
| ~ spl16_109 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f2784,plain,
( spl16_284
| ~ spl16_109
| ~ spl16_128 ),
inference(avatar_split_clause,[],[f1042,f1022,f890,f2782]) ).
fof(f2782,plain,
( spl16_284
<=> ! [X0,X1] :
( ~ holdsAt(X0,n3)
| ~ terminates(X1,X0,n2)
| ~ happens(X1,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_284])]) ).
fof(f1042,plain,
( ! [X0,X1] :
( ~ holdsAt(X0,n3)
| ~ terminates(X1,X0,n2)
| ~ happens(X1,n2) )
| ~ spl16_109
| ~ spl16_128 ),
inference(superposition,[],[f891,f1024]) ).
fof(f2743,plain,
( ~ spl16_283
| spl16_2
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f1993,f1613,f335,f2740]) ).
fof(f2740,plain,
( spl16_283
<=> holdsAt(spinning,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_283])]) ).
fof(f1993,plain,
( ~ holdsAt(spinning,n5)
| spl16_2
| ~ spl16_188 ),
inference(superposition,[],[f337,f1615]) ).
fof(f2629,plain,
( spl16_282
| ~ spl16_188
| ~ spl16_222 ),
inference(avatar_split_clause,[],[f2231,f2228,f1613,f2627]) ).
fof(f2627,plain,
( spl16_282
<=> ! [X0] :
( less_or_equal(X0,n5)
| n1 = X0
| less_or_equal(n1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_282])]) ).
fof(f2228,plain,
( spl16_222
<=> ! [X0] :
( n1 = X0
| less_or_equal(n1,X0)
| less_or_equal(X0,n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_222])]) ).
fof(f2231,plain,
( ! [X0] :
( less_or_equal(X0,n5)
| n1 = X0
| less_or_equal(n1,X0) )
| ~ spl16_188
| ~ spl16_222 ),
inference(forward_demodulation,[],[f2229,f1615]) ).
fof(f2229,plain,
( ! [X0] :
( less_or_equal(n1,X0)
| less_or_equal(X0,n0)
| n1 = X0 )
| ~ spl16_222 ),
inference(avatar_component_clause,[],[f2228]) ).
fof(f2560,plain,
( spl16_279
| spl16_280
| spl16_281
| ~ spl16_44
| ~ spl16_154
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f2044,f1613,f1184,f524,f2557,f2553,f2549]) ).
fof(f524,plain,
( spl16_44
<=> ! [X0] :
( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_44])]) ).
fof(f1184,plain,
( spl16_154
<=> ! [X0] :
( less(n9,X0)
| n9 = X0
| less_or_equal(X0,n8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_154])]) ).
fof(f2044,plain,
( less_or_equal(n9,n5)
| n1 = n9
| less_or_equal(n1,n8)
| ~ spl16_44
| ~ spl16_154
| ~ spl16_188 ),
inference(forward_demodulation,[],[f1968,f1615]) ).
fof(f1968,plain,
( n1 = n9
| less_or_equal(n1,n8)
| less_or_equal(n9,n0)
| ~ spl16_44
| ~ spl16_154 ),
inference(resolution,[],[f1185,f525]) ).
fof(f525,plain,
( ! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) )
| ~ spl16_44 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f1185,plain,
( ! [X0] :
( less(n9,X0)
| n9 = X0
| less_or_equal(X0,n8) )
| ~ spl16_154 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f2545,plain,
( spl16_276
| spl16_277
| spl16_278
| ~ spl16_40
| ~ spl16_154 ),
inference(avatar_split_clause,[],[f1970,f1184,f508,f2542,f2538,f2534]) ).
fof(f2538,plain,
( spl16_277
<=> less_or_equal(n3,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_277])]) ).
fof(f508,plain,
( spl16_40
<=> ! [X0] :
( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_40])]) ).
fof(f1970,plain,
( n3 = n9
| less_or_equal(n3,n8)
| less_or_equal(n9,n2)
| ~ spl16_40
| ~ spl16_154 ),
inference(resolution,[],[f1185,f509]) ).
fof(f509,plain,
( ! [X0] :
( ~ less(X0,n3)
| less_or_equal(X0,n2) )
| ~ spl16_40 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f2530,plain,
( spl16_273
| spl16_274
| spl16_275
| ~ spl16_42
| ~ spl16_154 ),
inference(avatar_split_clause,[],[f1969,f1184,f516,f2527,f2523,f2519]) ).
fof(f2523,plain,
( spl16_274
<=> less_or_equal(n2,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_274])]) ).
fof(f2527,plain,
( spl16_275
<=> n2 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_275])]) ).
fof(f516,plain,
( spl16_42
<=> ! [X0] :
( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_42])]) ).
fof(f1969,plain,
( n2 = n9
| less_or_equal(n2,n8)
| less_or_equal(n9,n1)
| ~ spl16_42
| ~ spl16_154 ),
inference(resolution,[],[f1185,f517]) ).
fof(f517,plain,
( ! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) )
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f2517,plain,
( spl16_271
| ~ spl16_178
| ~ spl16_272
| ~ spl16_142
| ~ spl16_157 ),
inference(avatar_split_clause,[],[f1343,f1336,f1100,f2514,f1469,f2510]) ).
fof(f2514,plain,
( spl16_272
<=> holdsAt(spinning,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_272])]) ).
fof(f1100,plain,
( spl16_142
<=> ! [X0] :
( terminates(pull,spinning,X0)
| happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_142])]) ).
fof(f1343,plain,
( ~ holdsAt(spinning,n2)
| ~ happens(pull,n1)
| happens(push,n1)
| ~ spl16_142
| ~ spl16_157 ),
inference(resolution,[],[f1337,f1101]) ).
fof(f1101,plain,
( ! [X0] :
( terminates(pull,spinning,X0)
| happens(push,X0) )
| ~ spl16_142 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f2506,plain,
( spl16_268
| spl16_269
| spl16_270
| ~ spl16_28
| ~ spl16_149 ),
inference(avatar_split_clause,[],[f1259,f1164,f460,f2503,f2499,f2495]) ).
fof(f2499,plain,
( spl16_269
<=> less_or_equal(n9,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_269])]) ).
fof(f2503,plain,
( spl16_270
<=> n4 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_270])]) ).
fof(f1164,plain,
( spl16_149
<=> ! [X0] :
( less(n4,X0)
| n4 = X0
| less_or_equal(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_149])]) ).
fof(f1259,plain,
( n4 = n9
| less_or_equal(n9,n3)
| less_or_equal(n4,n8)
| ~ spl16_28
| ~ spl16_149 ),
inference(resolution,[],[f1165,f461]) ).
fof(f1165,plain,
( ! [X0] :
( less(n4,X0)
| n4 = X0
| less_or_equal(X0,n3) )
| ~ spl16_149 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f2491,plain,
( spl16_265
| spl16_266
| spl16_267
| ~ spl16_30
| ~ spl16_149 ),
inference(avatar_split_clause,[],[f1258,f1164,f468,f2488,f2484,f2480]) ).
fof(f2488,plain,
( spl16_267
<=> n4 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_267])]) ).
fof(f468,plain,
( spl16_30
<=> ! [X0] :
( less_or_equal(X0,n7)
| ~ less(X0,n8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_30])]) ).
fof(f1258,plain,
( n4 = n8
| less_or_equal(n8,n3)
| less_or_equal(n4,n7)
| ~ spl16_30
| ~ spl16_149 ),
inference(resolution,[],[f1165,f469]) ).
fof(f469,plain,
( ! [X0] :
( ~ less(X0,n8)
| less_or_equal(X0,n7) )
| ~ spl16_30 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f2476,plain,
( spl16_262
| spl16_263
| spl16_264
| ~ spl16_32
| ~ spl16_149 ),
inference(avatar_split_clause,[],[f1257,f1164,f476,f2473,f2469,f2465]) ).
fof(f476,plain,
( spl16_32
<=> ! [X0] :
( less_or_equal(X0,n6)
| ~ less(X0,n7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_32])]) ).
fof(f1257,plain,
( n4 = n7
| less_or_equal(n7,n3)
| less_or_equal(n4,n6)
| ~ spl16_32
| ~ spl16_149 ),
inference(resolution,[],[f1165,f477]) ).
fof(f477,plain,
( ! [X0] :
( ~ less(X0,n7)
| less_or_equal(X0,n6) )
| ~ spl16_32 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f2461,plain,
( spl16_259
| spl16_260
| spl16_261
| ~ spl16_30
| ~ spl16_147 ),
inference(avatar_split_clause,[],[f1239,f1155,f468,f2458,f2454,f2450]) ).
fof(f2458,plain,
( spl16_261
<=> n3 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_261])]) ).
fof(f1155,plain,
( spl16_147
<=> ! [X0] :
( less(n3,X0)
| n3 = X0
| less_or_equal(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_147])]) ).
fof(f1239,plain,
( n3 = n8
| less_or_equal(n8,n2)
| less_or_equal(n3,n7)
| ~ spl16_30
| ~ spl16_147 ),
inference(resolution,[],[f1156,f469]) ).
fof(f1156,plain,
( ! [X0] :
( less(n3,X0)
| n3 = X0
| less_or_equal(X0,n2) )
| ~ spl16_147 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f2446,plain,
( spl16_256
| spl16_257
| spl16_258
| ~ spl16_32
| ~ spl16_147 ),
inference(avatar_split_clause,[],[f1238,f1155,f476,f2443,f2439,f2435]) ).
fof(f2439,plain,
( spl16_257
<=> less_or_equal(n7,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_257])]) ).
fof(f1238,plain,
( n3 = n7
| less_or_equal(n7,n2)
| less_or_equal(n3,n6)
| ~ spl16_32
| ~ spl16_147 ),
inference(resolution,[],[f1156,f477]) ).
fof(f2431,plain,
( spl16_255
| spl16_202
| spl16_201
| ~ spl16_34
| ~ spl16_147 ),
inference(avatar_split_clause,[],[f1237,f1155,f484,f1790,f1796,f2428]) ).
fof(f1796,plain,
( spl16_202
<=> less_or_equal(n6,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_202])]) ).
fof(f484,plain,
( spl16_34
<=> ! [X0] :
( less_or_equal(X0,n5)
| ~ less(X0,n6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_34])]) ).
fof(f1237,plain,
( n3 = n6
| less_or_equal(n6,n2)
| less_or_equal(n3,n5)
| ~ spl16_34
| ~ spl16_147 ),
inference(resolution,[],[f1156,f485]) ).
fof(f485,plain,
( ! [X0] :
( ~ less(X0,n6)
| less_or_equal(X0,n5) )
| ~ spl16_34 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f2424,plain,
( spl16_252
| spl16_253
| spl16_254
| ~ spl16_30
| ~ spl16_146 ),
inference(avatar_split_clause,[],[f1225,f1151,f468,f2421,f2417,f2413]) ).
fof(f2421,plain,
( spl16_254
<=> n2 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_254])]) ).
fof(f1151,plain,
( spl16_146
<=> ! [X0] :
( less(n2,X0)
| n2 = X0
| less_or_equal(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_146])]) ).
fof(f1225,plain,
( n2 = n8
| less_or_equal(n8,n1)
| less_or_equal(n2,n7)
| ~ spl16_30
| ~ spl16_146 ),
inference(resolution,[],[f1152,f469]) ).
fof(f1152,plain,
( ! [X0] :
( less(n2,X0)
| n2 = X0
| less_or_equal(X0,n1) )
| ~ spl16_146 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f2409,plain,
( spl16_249
| spl16_250
| spl16_251
| ~ spl16_32
| ~ spl16_146 ),
inference(avatar_split_clause,[],[f1224,f1151,f476,f2406,f2402,f2398]) ).
fof(f2402,plain,
( spl16_250
<=> less_or_equal(n7,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_250])]) ).
fof(f2406,plain,
( spl16_251
<=> n2 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_251])]) ).
fof(f1224,plain,
( n2 = n7
| less_or_equal(n7,n1)
| less_or_equal(n2,n6)
| ~ spl16_32
| ~ spl16_146 ),
inference(resolution,[],[f1152,f477]) ).
fof(f2394,plain,
( spl16_246
| spl16_247
| spl16_248
| ~ spl16_34
| ~ spl16_146 ),
inference(avatar_split_clause,[],[f1223,f1151,f484,f2391,f2387,f2383]) ).
fof(f2383,plain,
( spl16_246
<=> less_or_equal(n2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_246])]) ).
fof(f1223,plain,
( n2 = n6
| less_or_equal(n6,n1)
| less_or_equal(n2,n5)
| ~ spl16_34
| ~ spl16_146 ),
inference(resolution,[],[f1152,f485]) ).
fof(f2381,plain,
( ~ spl16_245
| ~ spl16_188
| spl16_243 ),
inference(avatar_split_clause,[],[f2374,f2366,f1613,f2378]) ).
fof(f2378,plain,
( spl16_245
<=> less_or_equal(n8,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_245])]) ).
fof(f2366,plain,
( spl16_243
<=> less_or_equal(n8,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_243])]) ).
fof(f2374,plain,
( ~ less_or_equal(n8,n5)
| ~ spl16_188
| spl16_243 ),
inference(forward_demodulation,[],[f2367,f1615]) ).
fof(f2367,plain,
( ~ less_or_equal(n8,n0)
| spl16_243 ),
inference(avatar_component_clause,[],[f2366]) ).
fof(f2373,plain,
( spl16_242
| spl16_243
| spl16_244
| ~ spl16_30
| ~ spl16_145 ),
inference(avatar_split_clause,[],[f1211,f1147,f468,f2370,f2366,f2362]) ).
fof(f2370,plain,
( spl16_244
<=> n1 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_244])]) ).
fof(f1211,plain,
( n1 = n8
| less_or_equal(n8,n0)
| less_or_equal(n1,n7)
| ~ spl16_30
| ~ spl16_145 ),
inference(resolution,[],[f1148,f469]) ).
fof(f2358,plain,
( spl16_241
| ~ spl16_1
| ~ spl16_239 ),
inference(avatar_split_clause,[],[f2320,f2309,f330,f2355]) ).
fof(f2355,plain,
( spl16_241
<=> holdsAt(backwards,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_241])]) ).
fof(f2309,plain,
( spl16_239
<=> n1 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_239])]) ).
fof(f2320,plain,
( holdsAt(backwards,n7)
| ~ spl16_1
| ~ spl16_239 ),
inference(superposition,[],[f332,f2311]) ).
fof(f2311,plain,
( n1 = n7
| ~ spl16_239 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f332,plain,
( holdsAt(backwards,n1)
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f2318,plain,
( spl16_240
| ~ spl16_188
| ~ spl16_238 ),
inference(avatar_split_clause,[],[f2313,f2305,f1613,f2315]) ).
fof(f2315,plain,
( spl16_240
<=> less_or_equal(n7,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_240])]) ).
fof(f2305,plain,
( spl16_238
<=> less_or_equal(n7,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_238])]) ).
fof(f2313,plain,
( less_or_equal(n7,n5)
| ~ spl16_188
| ~ spl16_238 ),
inference(forward_demodulation,[],[f2307,f1615]) ).
fof(f2307,plain,
( less_or_equal(n7,n0)
| ~ spl16_238 ),
inference(avatar_component_clause,[],[f2305]) ).
fof(f2312,plain,
( spl16_237
| spl16_238
| spl16_239
| ~ spl16_32
| ~ spl16_145 ),
inference(avatar_split_clause,[],[f1210,f1147,f476,f2309,f2305,f2301]) ).
fof(f1210,plain,
( n1 = n7
| less_or_equal(n7,n0)
| less_or_equal(n1,n6)
| ~ spl16_32
| ~ spl16_145 ),
inference(resolution,[],[f1148,f477]) ).
fof(f2296,plain,
( spl16_234
| spl16_235
| spl16_236
| ~ spl16_34
| ~ spl16_145 ),
inference(avatar_split_clause,[],[f1209,f1147,f484,f2293,f2289,f2285]) ).
fof(f2289,plain,
( spl16_235
<=> less_or_equal(n6,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_235])]) ).
fof(f1209,plain,
( n1 = n6
| less_or_equal(n6,n0)
| less_or_equal(n1,n5)
| ~ spl16_34
| ~ spl16_145 ),
inference(resolution,[],[f1148,f485]) ).
fof(f2282,plain,
( ~ spl16_11
| spl16_233 ),
inference(avatar_contradiction_clause,[],[f2281]) ).
fof(f2281,plain,
( $false
| ~ spl16_11
| spl16_233 ),
inference(resolution,[],[f2279,f379]) ).
fof(f379,plain,
( ! [X1] : less_or_equal(X1,X1)
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl16_11
<=> ! [X1] : less_or_equal(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f2279,plain,
( ~ less_or_equal(n5,n5)
| spl16_233 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f2277,plain,
( spl16_233
<=> less_or_equal(n5,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_233])]) ).
fof(f2280,plain,
( ~ spl16_233
| ~ spl16_188
| spl16_231 ),
inference(avatar_split_clause,[],[f2273,f2265,f1613,f2277]) ).
fof(f2273,plain,
( ~ less_or_equal(n5,n5)
| ~ spl16_188
| spl16_231 ),
inference(forward_demodulation,[],[f2266,f1615]) ).
fof(f2272,plain,
( spl16_230
| spl16_231
| spl16_232
| ~ spl16_36
| ~ spl16_145 ),
inference(avatar_split_clause,[],[f1208,f1147,f492,f2269,f2265,f2261]) ).
fof(f2269,plain,
( spl16_232
<=> n1 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_232])]) ).
fof(f1208,plain,
( n1 = n5
| less_or_equal(n5,n0)
| less_or_equal(n1,n4)
| ~ spl16_36
| ~ spl16_145 ),
inference(resolution,[],[f1148,f493]) ).
fof(f2259,plain,
( spl16_229
| ~ spl16_28
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1199,f1143,f460,f2257]) ).
fof(f2257,plain,
( spl16_229
<=> ! [X0] :
( n9 = X0
| less_or_equal(n9,X0)
| less_or_equal(X0,n8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_229])]) ).
fof(f1199,plain,
( ! [X0] :
( n9 = X0
| less_or_equal(n9,X0)
| less_or_equal(X0,n8) )
| ~ spl16_28
| ~ spl16_144 ),
inference(resolution,[],[f1144,f461]) ).
fof(f2255,plain,
( spl16_228
| ~ spl16_30
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1198,f1143,f468,f2253]) ).
fof(f2253,plain,
( spl16_228
<=> ! [X0] :
( n8 = X0
| less_or_equal(n8,X0)
| less_or_equal(X0,n7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_228])]) ).
fof(f1198,plain,
( ! [X0] :
( n8 = X0
| less_or_equal(n8,X0)
| less_or_equal(X0,n7) )
| ~ spl16_30
| ~ spl16_144 ),
inference(resolution,[],[f1144,f469]) ).
fof(f2251,plain,
( spl16_227
| ~ spl16_32
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1197,f1143,f476,f2249]) ).
fof(f2249,plain,
( spl16_227
<=> ! [X0] :
( n7 = X0
| less_or_equal(n7,X0)
| less_or_equal(X0,n6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_227])]) ).
fof(f1197,plain,
( ! [X0] :
( n7 = X0
| less_or_equal(n7,X0)
| less_or_equal(X0,n6) )
| ~ spl16_32
| ~ spl16_144 ),
inference(resolution,[],[f1144,f477]) ).
fof(f2247,plain,
( spl16_226
| ~ spl16_34
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1196,f1143,f484,f2245]) ).
fof(f2245,plain,
( spl16_226
<=> ! [X0] :
( n6 = X0
| less_or_equal(n6,X0)
| less_or_equal(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_226])]) ).
fof(f1196,plain,
( ! [X0] :
( n6 = X0
| less_or_equal(n6,X0)
| less_or_equal(X0,n5) )
| ~ spl16_34
| ~ spl16_144 ),
inference(resolution,[],[f1144,f485]) ).
fof(f2243,plain,
( spl16_225
| ~ spl16_38
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1194,f1143,f500,f2241]) ).
fof(f2241,plain,
( spl16_225
<=> ! [X0] :
( n4 = X0
| less_or_equal(n4,X0)
| less_or_equal(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_225])]) ).
fof(f1194,plain,
( ! [X0] :
( n4 = X0
| less_or_equal(n4,X0)
| less_or_equal(X0,n3) )
| ~ spl16_38
| ~ spl16_144 ),
inference(resolution,[],[f1144,f501]) ).
fof(f2239,plain,
( spl16_224
| ~ spl16_40
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1193,f1143,f508,f2237]) ).
fof(f2237,plain,
( spl16_224
<=> ! [X0] :
( n3 = X0
| less_or_equal(n3,X0)
| less_or_equal(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_224])]) ).
fof(f1193,plain,
( ! [X0] :
( n3 = X0
| less_or_equal(n3,X0)
| less_or_equal(X0,n2) )
| ~ spl16_40
| ~ spl16_144 ),
inference(resolution,[],[f1144,f509]) ).
fof(f2235,plain,
( spl16_223
| ~ spl16_42
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1192,f1143,f516,f2233]) ).
fof(f2233,plain,
( spl16_223
<=> ! [X0] :
( n2 = X0
| less_or_equal(n2,X0)
| less_or_equal(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_223])]) ).
fof(f1192,plain,
( ! [X0] :
( n2 = X0
| less_or_equal(n2,X0)
| less_or_equal(X0,n1) )
| ~ spl16_42
| ~ spl16_144 ),
inference(resolution,[],[f1144,f517]) ).
fof(f2230,plain,
( spl16_222
| ~ spl16_44
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1191,f1143,f524,f2228]) ).
fof(f1191,plain,
( ! [X0] :
( n1 = X0
| less_or_equal(n1,X0)
| less_or_equal(X0,n0) )
| ~ spl16_44
| ~ spl16_144 ),
inference(resolution,[],[f1144,f525]) ).
fof(f2226,plain,
( spl16_221
| ~ spl16_46
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1189,f1143,f532,f2224]) ).
fof(f532,plain,
( spl16_46
<=> ! [X0,X1] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).
fof(f1189,plain,
( ! [X0,X1] :
( X0 = X1
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) )
| ~ spl16_46
| ~ spl16_144 ),
inference(resolution,[],[f1144,f533]) ).
fof(f533,plain,
( ! [X0,X1] :
( ~ less(X0,X1)
| less_or_equal(X0,X1) )
| ~ spl16_46 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f2195,plain,
( spl16_220
| ~ spl16_105
| ~ spl16_141 ),
inference(avatar_split_clause,[],[f1140,f1096,f836,f2193]) ).
fof(f2193,plain,
( spl16_220
<=> ! [X0] :
( happens(pull,X0)
| terminates(push,spinning,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_220])]) ).
fof(f836,plain,
( spl16_105
<=> ! [X2,X0,X1] :
( terminates(X0,X1,X2)
| ~ sP11(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_105])]) ).
fof(f1096,plain,
( spl16_141
<=> ! [X0] :
( sP11(X0,spinning,push)
| happens(pull,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_141])]) ).
fof(f1140,plain,
( ! [X0] :
( happens(pull,X0)
| terminates(push,spinning,X0) )
| ~ spl16_105
| ~ spl16_141 ),
inference(resolution,[],[f1097,f837]) ).
fof(f837,plain,
( ! [X2,X0,X1] :
( ~ sP11(X2,X1,X0)
| terminates(X0,X1,X2) )
| ~ spl16_105 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f1097,plain,
( ! [X0] :
( sP11(X0,spinning,push)
| happens(pull,X0) )
| ~ spl16_141 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f2191,plain,
( spl16_219
| ~ spl16_105
| ~ spl16_140 ),
inference(avatar_split_clause,[],[f1135,f1092,f836,f2189]) ).
fof(f1092,plain,
( spl16_140
<=> ! [X0] :
( sP11(X0,backwards,pull)
| ~ happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_140])]) ).
fof(f1135,plain,
( ! [X0] :
( ~ happens(push,X0)
| terminates(pull,backwards,X0) )
| ~ spl16_105
| ~ spl16_140 ),
inference(resolution,[],[f1093,f837]) ).
fof(f1093,plain,
( ! [X0] :
( sP11(X0,backwards,pull)
| ~ happens(push,X0) )
| ~ spl16_140 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f2187,plain,
( spl16_218
| ~ spl16_105
| ~ spl16_139 ),
inference(avatar_split_clause,[],[f1130,f1088,f836,f2185]) ).
fof(f1088,plain,
( spl16_139
<=> ! [X0] :
( sP11(X0,forwards,pull)
| ~ happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_139])]) ).
fof(f1130,plain,
( ! [X0] :
( ~ happens(push,X0)
| terminates(pull,forwards,X0) )
| ~ spl16_105
| ~ spl16_139 ),
inference(resolution,[],[f1089,f837]) ).
fof(f1089,plain,
( ! [X0] :
( sP11(X0,forwards,pull)
| ~ happens(push,X0) )
| ~ spl16_139 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f2183,plain,
( spl16_217
| ~ spl16_105
| ~ spl16_138 ),
inference(avatar_split_clause,[],[f1126,f1084,f836,f2181]) ).
fof(f1084,plain,
( spl16_138
<=> ! [X0] :
( sP11(X0,forwards,pull)
| happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_138])]) ).
fof(f1126,plain,
( ! [X0] :
( happens(push,X0)
| terminates(pull,forwards,X0) )
| ~ spl16_105
| ~ spl16_138 ),
inference(resolution,[],[f1085,f837]) ).
fof(f1085,plain,
( ! [X0] :
( sP11(X0,forwards,pull)
| happens(push,X0) )
| ~ spl16_138 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f2179,plain,
( spl16_216
| ~ spl16_105
| ~ spl16_137 ),
inference(avatar_split_clause,[],[f1122,f1080,f836,f2177]) ).
fof(f1080,plain,
( spl16_137
<=> ! [X0] :
( sP11(X0,backwards,push)
| happens(pull,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_137])]) ).
fof(f1122,plain,
( ! [X0] :
( happens(pull,X0)
| terminates(push,backwards,X0) )
| ~ spl16_105
| ~ spl16_137 ),
inference(resolution,[],[f1081,f837]) ).
fof(f1081,plain,
( ! [X0] :
( sP11(X0,backwards,push)
| happens(pull,X0) )
| ~ spl16_137 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f2175,plain,
( spl16_215
| ~ spl16_98
| ~ spl16_134 ),
inference(avatar_split_clause,[],[f1110,f1067,f805,f2173]) ).
fof(f2173,plain,
( spl16_215
<=> ! [X0] :
( happens(push,X0)
| initiates(pull,backwards,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_215])]) ).
fof(f805,plain,
( spl16_98
<=> ! [X2,X0,X1] :
( initiates(X0,X1,X2)
| ~ sP5(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_98])]) ).
fof(f1067,plain,
( spl16_134
<=> ! [X0] :
( sP5(X0,backwards,pull)
| happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_134])]) ).
fof(f1110,plain,
( ! [X0] :
( happens(push,X0)
| initiates(pull,backwards,X0) )
| ~ spl16_98
| ~ spl16_134 ),
inference(resolution,[],[f1068,f806]) ).
fof(f806,plain,
( ! [X2,X0,X1] :
( ~ sP5(X2,X1,X0)
| initiates(X0,X1,X2) )
| ~ spl16_98 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f1068,plain,
( ! [X0] :
( sP5(X0,backwards,pull)
| happens(push,X0) )
| ~ spl16_134 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f2171,plain,
( spl16_214
| ~ spl16_98
| ~ spl16_133 ),
inference(avatar_split_clause,[],[f1106,f1063,f805,f2169]) ).
fof(f2169,plain,
( spl16_214
<=> ! [X0] :
( happens(pull,X0)
| initiates(push,forwards,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_214])]) ).
fof(f1063,plain,
( spl16_133
<=> ! [X0] :
( sP5(X0,forwards,push)
| happens(pull,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_133])]) ).
fof(f1106,plain,
( ! [X0] :
( happens(pull,X0)
| initiates(push,forwards,X0) )
| ~ spl16_98
| ~ spl16_133 ),
inference(resolution,[],[f1064,f806]) ).
fof(f1064,plain,
( ! [X0] :
( sP5(X0,forwards,push)
| happens(pull,X0) )
| ~ spl16_133 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f2135,plain,
( spl16_213
| ~ spl16_180
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f2063,f1613,f1529,f2132]) ).
fof(f2063,plain,
( less_or_equal(n5,n2)
| ~ spl16_180
| ~ spl16_188 ),
inference(forward_demodulation,[],[f1531,f1615]) ).
fof(f2130,plain,
( ~ spl16_212
| spl16_181
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f2062,f1613,f1533,f2127]) ).
fof(f2127,plain,
( spl16_212
<=> n3 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_212])]) ).
fof(f1533,plain,
( spl16_181
<=> n0 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_181])]) ).
fof(f2062,plain,
( n3 != n5
| spl16_181
| ~ spl16_188 ),
inference(forward_demodulation,[],[f1534,f1615]) ).
fof(f1534,plain,
( n0 != n3
| spl16_181 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f2125,plain,
( spl16_211
| ~ spl16_184
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f2061,f1613,f1589,f2122]) ).
fof(f2061,plain,
( less_or_equal(n5,n3)
| ~ spl16_184
| ~ spl16_188 ),
inference(forward_demodulation,[],[f1591,f1615]) ).
fof(f2120,plain,
( ~ spl16_210
| spl16_185
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f2060,f1613,f1593,f2117]) ).
fof(f2117,plain,
( spl16_210
<=> n4 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_210])]) ).
fof(f1593,plain,
( spl16_185
<=> n0 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_185])]) ).
fof(f2060,plain,
( n4 != n5
| spl16_185
| ~ spl16_188 ),
inference(forward_demodulation,[],[f1594,f1615]) ).
fof(f1594,plain,
( n0 != n4
| spl16_185 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f2115,plain,
( ~ spl16_209
| ~ spl16_188
| spl16_190 ),
inference(avatar_split_clause,[],[f2058,f1624,f1613,f2112]) ).
fof(f2112,plain,
( spl16_209
<=> n5 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_209])]) ).
fof(f1624,plain,
( spl16_190
<=> n0 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_190])]) ).
fof(f2058,plain,
( n5 != n6
| ~ spl16_188
| spl16_190 ),
inference(forward_demodulation,[],[f1625,f1615]) ).
fof(f1625,plain,
( n0 != n6
| spl16_190 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f2110,plain,
( spl16_208
| ~ spl16_188
| ~ spl16_193 ),
inference(avatar_split_clause,[],[f2057,f1680,f1613,f2107]) ).
fof(f2057,plain,
( less_or_equal(n5,n7)
| ~ spl16_188
| ~ spl16_193 ),
inference(forward_demodulation,[],[f1682,f1615]) ).
fof(f2105,plain,
( ~ spl16_207
| spl16_187
| ~ spl16_188 ),
inference(avatar_split_clause,[],[f2052,f1613,f1609,f2102]) ).
fof(f2102,plain,
( spl16_207
<=> less_or_equal(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_207])]) ).
fof(f2052,plain,
( ~ less_or_equal(n5,n4)
| spl16_187
| ~ spl16_188 ),
inference(forward_demodulation,[],[f1610,f1615]) ).
fof(f1610,plain,
( ~ less_or_equal(n0,n4)
| spl16_187 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f2100,plain,
( spl16_206
| ~ spl16_188
| ~ spl16_196 ),
inference(avatar_split_clause,[],[f2051,f1699,f1613,f2097]) ).
fof(f2051,plain,
( less_or_equal(n5,n8)
| ~ spl16_188
| ~ spl16_196 ),
inference(forward_demodulation,[],[f1701,f1615]) ).
fof(f2043,plain,
( spl16_205
| ~ spl16_185
| ~ spl16_190 ),
inference(avatar_split_clause,[],[f1785,f1624,f1593,f2040]) ).
fof(f1785,plain,
( n4 = n6
| ~ spl16_185
| ~ spl16_190 ),
inference(forward_demodulation,[],[f1595,f1626]) ).
fof(f1626,plain,
( n0 = n6
| ~ spl16_190 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1595,plain,
( n0 = n4
| ~ spl16_185 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f1892,plain,
( spl16_204
| ~ spl16_188
| ~ spl16_197 ),
inference(avatar_split_clause,[],[f1776,f1703,f1613,f1889]) ).
fof(f1889,plain,
( spl16_204
<=> n5 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_204])]) ).
fof(f1703,plain,
( spl16_197
<=> n0 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_197])]) ).
fof(f1776,plain,
( n5 = n9
| ~ spl16_188
| ~ spl16_197 ),
inference(forward_demodulation,[],[f1615,f1705]) ).
fof(f1705,plain,
( n0 = n9
| ~ spl16_197 ),
inference(avatar_component_clause,[],[f1703]) ).
fof(f1886,plain,
( ~ spl16_203
| ~ spl16_190
| ~ spl16_197
| spl16_199 ),
inference(avatar_split_clause,[],[f1775,f1771,f1703,f1624,f1883]) ).
fof(f1883,plain,
( spl16_203
<=> less_or_equal(n9,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_203])]) ).
fof(f1775,plain,
( ~ less_or_equal(n9,n4)
| ~ spl16_190
| ~ spl16_197
| spl16_199 ),
inference(forward_demodulation,[],[f1772,f1746]) ).
fof(f1746,plain,
( n6 = n9
| ~ spl16_190
| ~ spl16_197 ),
inference(superposition,[],[f1705,f1626]) ).
fof(f1772,plain,
( ~ less_or_equal(n6,n4)
| spl16_199 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f1799,plain,
( spl16_202
| ~ spl16_180
| ~ spl16_190 ),
inference(avatar_split_clause,[],[f1724,f1624,f1529,f1796]) ).
fof(f1724,plain,
( less_or_equal(n6,n2)
| ~ spl16_180
| ~ spl16_190 ),
inference(forward_demodulation,[],[f1531,f1626]) ).
fof(f1793,plain,
( ~ spl16_201
| spl16_181
| ~ spl16_190 ),
inference(avatar_split_clause,[],[f1723,f1624,f1533,f1790]) ).
fof(f1723,plain,
( n3 != n6
| spl16_181
| ~ spl16_190 ),
inference(forward_demodulation,[],[f1534,f1626]) ).
fof(f1783,plain,
( spl16_200
| ~ spl16_184
| ~ spl16_190 ),
inference(avatar_split_clause,[],[f1721,f1624,f1589,f1780]) ).
fof(f1780,plain,
( spl16_200
<=> less_or_equal(n6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_200])]) ).
fof(f1721,plain,
( less_or_equal(n6,n3)
| ~ spl16_184
| ~ spl16_190 ),
inference(forward_demodulation,[],[f1591,f1626]) ).
fof(f1774,plain,
( spl16_199
| ~ spl16_187
| ~ spl16_190 ),
inference(avatar_split_clause,[],[f1720,f1624,f1609,f1771]) ).
fof(f1720,plain,
( less_or_equal(n6,n4)
| ~ spl16_187
| ~ spl16_190 ),
inference(forward_demodulation,[],[f1611,f1626]) ).
fof(f1744,plain,
( spl16_198
| ~ spl16_190
| ~ spl16_196 ),
inference(avatar_split_clause,[],[f1716,f1699,f1624,f1712]) ).
fof(f1716,plain,
( less_or_equal(n6,n8)
| ~ spl16_190
| ~ spl16_196 ),
inference(forward_demodulation,[],[f1701,f1626]) ).
fof(f1715,plain,
( spl16_198
| ~ spl16_19
| ~ spl16_25
| ~ spl16_181
| ~ spl16_196 ),
inference(avatar_split_clause,[],[f1708,f1699,f1533,f445,f415,f1712]) ).
fof(f415,plain,
( spl16_19
<=> n3 = plus(n0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f445,plain,
( spl16_25
<=> plus(n3,n3) = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_25])]) ).
fof(f1708,plain,
( less_or_equal(n6,n8)
| ~ spl16_19
| ~ spl16_25
| ~ spl16_181
| ~ spl16_196 ),
inference(forward_demodulation,[],[f1707,f1556]) ).
fof(f1556,plain,
( n3 = n6
| ~ spl16_19
| ~ spl16_25
| ~ spl16_181 ),
inference(forward_demodulation,[],[f1543,f447]) ).
fof(f447,plain,
( plus(n3,n3) = n6
| ~ spl16_25 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f1543,plain,
( n3 = plus(n3,n3)
| ~ spl16_19
| ~ spl16_181 ),
inference(superposition,[],[f417,f1535]) ).
fof(f1535,plain,
( n0 = n3
| ~ spl16_181 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f417,plain,
( n3 = plus(n0,n3)
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f1707,plain,
( less_or_equal(n3,n8)
| ~ spl16_181
| ~ spl16_196 ),
inference(forward_demodulation,[],[f1701,f1535]) ).
fof(f1706,plain,
( spl16_196
| spl16_197
| ~ spl16_28
| ~ spl16_132 ),
inference(avatar_split_clause,[],[f1061,f1046,f460,f1703,f1699]) ).
fof(f1046,plain,
( spl16_132
<=> ! [X0] :
( less(n0,X0)
| n0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_132])]) ).
fof(f1061,plain,
( n0 = n9
| less_or_equal(n0,n8)
| ~ spl16_28
| ~ spl16_132 ),
inference(resolution,[],[f1047,f461]) ).
fof(f1047,plain,
( ! [X0] :
( less(n0,X0)
| n0 = X0 )
| ~ spl16_132 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1696,plain,
( ~ spl16_195
| spl16_3
| ~ spl16_181 ),
inference(avatar_split_clause,[],[f1539,f1533,f340,f1693]) ).
fof(f1693,plain,
( spl16_195
<=> holdsAt(forwards,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_195])]) ).
fof(f1539,plain,
( ~ holdsAt(forwards,n3)
| spl16_3
| ~ spl16_181 ),
inference(superposition,[],[f342,f1535]) ).
fof(f1687,plain,
( spl16_193
| spl16_194
| ~ spl16_30
| ~ spl16_132 ),
inference(avatar_split_clause,[],[f1060,f1046,f468,f1684,f1680]) ).
fof(f1060,plain,
( n0 = n8
| less_or_equal(n0,n7)
| ~ spl16_30
| ~ spl16_132 ),
inference(resolution,[],[f1047,f469]) ).
fof(f1674,plain,
( spl16_191
| spl16_192
| ~ spl16_32
| ~ spl16_132 ),
inference(avatar_split_clause,[],[f1059,f1046,f476,f1671,f1667]) ).
fof(f1671,plain,
( spl16_192
<=> n0 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_192])]) ).
fof(f1059,plain,
( n0 = n7
| less_or_equal(n0,n6)
| ~ spl16_32
| ~ spl16_132 ),
inference(resolution,[],[f1047,f477]) ).
fof(f1631,plain,
( spl16_183
| ~ spl16_19
| ~ spl16_25
| ~ spl16_181
| ~ spl16_189 ),
inference(avatar_split_clause,[],[f1629,f1620,f1533,f445,f415,f1584]) ).
fof(f1584,plain,
( spl16_183
<=> less_or_equal(n6,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_183])]) ).
fof(f1629,plain,
( less_or_equal(n6,n5)
| ~ spl16_19
| ~ spl16_25
| ~ spl16_181
| ~ spl16_189 ),
inference(forward_demodulation,[],[f1628,f1556]) ).
fof(f1628,plain,
( less_or_equal(n3,n5)
| ~ spl16_181
| ~ spl16_189 ),
inference(forward_demodulation,[],[f1622,f1535]) ).
fof(f1627,plain,
( spl16_189
| spl16_190
| ~ spl16_34
| ~ spl16_132 ),
inference(avatar_split_clause,[],[f1058,f1046,f484,f1624,f1620]) ).
fof(f1058,plain,
( n0 = n6
| less_or_equal(n0,n5)
| ~ spl16_34
| ~ spl16_132 ),
inference(resolution,[],[f1047,f485]) ).
fof(f1616,plain,
( spl16_187
| spl16_188
| ~ spl16_36
| ~ spl16_132 ),
inference(avatar_split_clause,[],[f1057,f1046,f492,f1613,f1609]) ).
fof(f1057,plain,
( n0 = n5
| less_or_equal(n0,n4)
| ~ spl16_36
| ~ spl16_132 ),
inference(resolution,[],[f1047,f493]) ).
fof(f1606,plain,
( ~ spl16_186
| spl16_2
| ~ spl16_181 ),
inference(avatar_split_clause,[],[f1538,f1533,f335,f1603]) ).
fof(f1603,plain,
( spl16_186
<=> holdsAt(spinning,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_186])]) ).
fof(f1538,plain,
( ~ holdsAt(spinning,n3)
| spl16_2
| ~ spl16_181 ),
inference(superposition,[],[f337,f1535]) ).
fof(f1596,plain,
( spl16_184
| spl16_185
| ~ spl16_38
| ~ spl16_132 ),
inference(avatar_split_clause,[],[f1056,f1046,f500,f1593,f1589]) ).
fof(f1056,plain,
( n0 = n4
| less_or_equal(n0,n3)
| ~ spl16_38
| ~ spl16_132 ),
inference(resolution,[],[f1047,f501]) ).
fof(f1587,plain,
( ~ spl16_183
| ~ spl16_19
| ~ spl16_21
| ~ spl16_25
| ~ spl16_131
| ~ spl16_181
| spl16_182 ),
inference(avatar_split_clause,[],[f1582,f1577,f1533,f1037,f445,f425,f415,f1584]) ).
fof(f425,plain,
( spl16_21
<=> n2 = plus(n0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
fof(f1037,plain,
( spl16_131
<=> n5 = plus(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_131])]) ).
fof(f1577,plain,
( spl16_182
<=> less_or_equal(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_182])]) ).
fof(f1582,plain,
( ~ less_or_equal(n6,n5)
| ~ spl16_19
| ~ spl16_21
| ~ spl16_25
| ~ spl16_131
| ~ spl16_181
| spl16_182 ),
inference(forward_demodulation,[],[f1581,f1556]) ).
fof(f1581,plain,
( ~ less_or_equal(n3,n5)
| ~ spl16_21
| ~ spl16_131
| ~ spl16_181
| spl16_182 ),
inference(forward_demodulation,[],[f1579,f1557]) ).
fof(f1557,plain,
( n2 = n5
| ~ spl16_21
| ~ spl16_131
| ~ spl16_181 ),
inference(forward_demodulation,[],[f1544,f1039]) ).
fof(f1039,plain,
( n5 = plus(n3,n2)
| ~ spl16_131 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1544,plain,
( n2 = plus(n3,n2)
| ~ spl16_21
| ~ spl16_181 ),
inference(superposition,[],[f427,f1535]) ).
fof(f427,plain,
( n2 = plus(n0,n2)
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f1579,plain,
( ~ less_or_equal(n3,n2)
| spl16_182 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1580,plain,
( ~ spl16_182
| spl16_180
| ~ spl16_181 ),
inference(avatar_split_clause,[],[f1537,f1533,f1529,f1577]) ).
fof(f1537,plain,
( ~ less_or_equal(n3,n2)
| spl16_180
| ~ spl16_181 ),
inference(forward_demodulation,[],[f1530,f1535]) ).
fof(f1530,plain,
( ~ less_or_equal(n0,n2)
| spl16_180 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1536,plain,
( spl16_180
| spl16_181
| ~ spl16_40
| ~ spl16_132 ),
inference(avatar_split_clause,[],[f1055,f1046,f508,f1533,f1529]) ).
fof(f1055,plain,
( n0 = n3
| less_or_equal(n0,n2)
| ~ spl16_40
| ~ spl16_132 ),
inference(resolution,[],[f1047,f509]) ).
fof(f1527,plain,
( spl16_179
| ~ spl16_46
| ~ spl16_132 ),
inference(avatar_split_clause,[],[f1051,f1046,f532,f1525]) ).
fof(f1525,plain,
( spl16_179
<=> ! [X0] :
( n0 = X0
| less_or_equal(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_179])]) ).
fof(f1051,plain,
( ! [X0] :
( n0 = X0
| less_or_equal(n0,X0) )
| ~ spl16_46
| ~ spl16_132 ),
inference(resolution,[],[f1047,f533]) ).
fof(f1472,plain,
( spl16_178
| ~ spl16_55
| ~ spl16_117 ),
inference(avatar_split_clause,[],[f1013,f931,f568,f1469]) ).
fof(f568,plain,
( spl16_55
<=> ! [X0,X1] :
( happens(X0,X1)
| ~ sP2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_55])]) ).
fof(f931,plain,
( spl16_117
<=> sP2(n1,pull) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_117])]) ).
fof(f1013,plain,
( happens(pull,n1)
| ~ spl16_55
| ~ spl16_117 ),
inference(resolution,[],[f933,f569]) ).
fof(f569,plain,
( ! [X0,X1] :
( ~ sP2(X1,X0)
| happens(X0,X1) )
| ~ spl16_55 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f933,plain,
( sP2(n1,pull)
| ~ spl16_117 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f1467,plain,
( spl16_177
| ~ spl16_55
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f1010,f894,f568,f1464]) ).
fof(f1010,plain,
( happens(push,n0)
| ~ spl16_55
| ~ spl16_110 ),
inference(resolution,[],[f896,f569]) ).
fof(f1462,plain,
( spl16_176
| ~ spl16_46
| ~ spl16_106 ),
inference(avatar_split_clause,[],[f1007,f845,f532,f1459]) ).
fof(f1007,plain,
( less_or_equal(n0,n1)
| ~ spl16_46
| ~ spl16_106 ),
inference(resolution,[],[f847,f533]) ).
fof(f1457,plain,
( spl16_175
| ~ spl16_46
| ~ spl16_94 ),
inference(avatar_split_clause,[],[f1004,f779,f532,f1454]) ).
fof(f779,plain,
( spl16_94
<=> less(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_94])]) ).
fof(f1004,plain,
( less_or_equal(n1,n2)
| ~ spl16_46
| ~ spl16_94 ),
inference(resolution,[],[f781,f533]) ).
fof(f781,plain,
( less(n1,n2)
| ~ spl16_94 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f1452,plain,
( ~ spl16_174
| ~ spl16_47
| ~ spl16_94 ),
inference(avatar_split_clause,[],[f1003,f779,f536,f1449]) ).
fof(f1449,plain,
( spl16_174
<=> less(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_174])]) ).
fof(f1003,plain,
( ~ less(n2,n1)
| ~ spl16_47
| ~ spl16_94 ),
inference(resolution,[],[f781,f537]) ).
fof(f1447,plain,
( spl16_173
| ~ spl16_46
| ~ spl16_93 ),
inference(avatar_split_clause,[],[f1001,f762,f532,f1444]) ).
fof(f762,plain,
( spl16_93
<=> less(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_93])]) ).
fof(f1001,plain,
( less_or_equal(n2,n3)
| ~ spl16_46
| ~ spl16_93 ),
inference(resolution,[],[f764,f533]) ).
fof(f764,plain,
( less(n2,n3)
| ~ spl16_93 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f1442,plain,
( ~ spl16_172
| ~ spl16_47
| ~ spl16_93 ),
inference(avatar_split_clause,[],[f1000,f762,f536,f1439]) ).
fof(f1439,plain,
( spl16_172
<=> less(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_172])]) ).
fof(f1000,plain,
( ~ less(n3,n2)
| ~ spl16_47
| ~ spl16_93 ),
inference(resolution,[],[f764,f537]) ).
fof(f1437,plain,
( spl16_171
| ~ spl16_46
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f998,f757,f532,f1434]) ).
fof(f757,plain,
( spl16_92
<=> less(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_92])]) ).
fof(f998,plain,
( less_or_equal(n3,n4)
| ~ spl16_46
| ~ spl16_92 ),
inference(resolution,[],[f759,f533]) ).
fof(f759,plain,
( less(n3,n4)
| ~ spl16_92 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f1432,plain,
( ~ spl16_170
| ~ spl16_47
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f997,f757,f536,f1429]) ).
fof(f1429,plain,
( spl16_170
<=> less(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_170])]) ).
fof(f997,plain,
( ~ less(n4,n3)
| ~ spl16_47
| ~ spl16_92 ),
inference(resolution,[],[f759,f537]) ).
fof(f1427,plain,
( spl16_169
| ~ spl16_46
| ~ spl16_89 ),
inference(avatar_split_clause,[],[f995,f728,f532,f1424]) ).
fof(f995,plain,
( less_or_equal(n4,n5)
| ~ spl16_46
| ~ spl16_89 ),
inference(resolution,[],[f730,f533]) ).
fof(f1422,plain,
( ~ spl16_168
| ~ spl16_47
| ~ spl16_89 ),
inference(avatar_split_clause,[],[f994,f728,f536,f1419]) ).
fof(f994,plain,
( ~ less(n5,n4)
| ~ spl16_47
| ~ spl16_89 ),
inference(resolution,[],[f730,f537]) ).
fof(f1417,plain,
( spl16_167
| ~ spl16_46
| ~ spl16_78 ),
inference(avatar_split_clause,[],[f992,f683,f532,f1414]) ).
fof(f683,plain,
( spl16_78
<=> less(n5,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_78])]) ).
fof(f992,plain,
( less_or_equal(n5,n6)
| ~ spl16_46
| ~ spl16_78 ),
inference(resolution,[],[f685,f533]) ).
fof(f685,plain,
( less(n5,n6)
| ~ spl16_78 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f1404,plain,
( spl16_166
| ~ spl16_104
| ~ spl16_121 ),
inference(avatar_split_clause,[],[f964,f956,f832,f1402]) ).
fof(f832,plain,
( spl16_104
<=> ! [X2,X0,X1] :
( sP11(X2,X1,X0)
| ~ terminates(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_104])]) ).
fof(f956,plain,
( spl16_121
<=> ! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| terminates(sK15(X0,X1),X0,X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_121])]) ).
fof(f964,plain,
( ! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| sP11(X1,X0,sK15(X0,X1)) )
| ~ spl16_104
| ~ spl16_121 ),
inference(resolution,[],[f957,f833]) ).
fof(f833,plain,
( ! [X2,X0,X1] :
( ~ terminates(X0,X1,X2)
| sP11(X2,X1,X0) )
| ~ spl16_104 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f957,plain,
( ! [X0,X1] :
( terminates(sK15(X0,X1),X0,X1)
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) )
| ~ spl16_121 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f1400,plain,
( spl16_165
| ~ spl16_97
| ~ spl16_120 ),
inference(avatar_split_clause,[],[f960,f952,f801,f1398]) ).
fof(f801,plain,
( spl16_97
<=> ! [X2,X0,X1] :
( sP5(X2,X1,X0)
| ~ initiates(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_97])]) ).
fof(f952,plain,
( spl16_120
<=> ! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| initiates(sK13(X0,X1),X0,X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_120])]) ).
fof(f960,plain,
( ! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| sP5(X1,X0,sK13(X0,X1)) )
| ~ spl16_97
| ~ spl16_120 ),
inference(resolution,[],[f953,f802]) ).
fof(f802,plain,
( ! [X2,X0,X1] :
( ~ initiates(X0,X1,X2)
| sP5(X2,X1,X0) )
| ~ spl16_97 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f953,plain,
( ! [X0,X1] :
( initiates(sK13(X0,X1),X0,X1)
| ~ holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) )
| ~ spl16_120 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f1396,plain,
( ~ spl16_164
| ~ spl16_47
| ~ spl16_78 ),
inference(avatar_split_clause,[],[f991,f683,f536,f1393]) ).
fof(f991,plain,
( ~ less(n6,n5)
| ~ spl16_47
| ~ spl16_78 ),
inference(resolution,[],[f685,f537]) ).
fof(f1376,plain,
( spl16_163
| ~ spl16_54
| ~ spl16_119 ),
inference(avatar_split_clause,[],[f950,f943,f564,f1374]) ).
fof(f943,plain,
( spl16_119
<=> ! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| happens(sK15(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_119])]) ).
fof(f950,plain,
( ! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| sP2(X1,sK15(X0,X1)) )
| ~ spl16_54
| ~ spl16_119 ),
inference(resolution,[],[f944,f565]) ).
fof(f944,plain,
( ! [X0,X1] :
( happens(sK15(X0,X1),X1)
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) )
| ~ spl16_119 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f1372,plain,
( spl16_162
| ~ spl16_59
| ~ spl16_118 ),
inference(avatar_split_clause,[],[f946,f939,f604,f1370]) ).
fof(f1370,plain,
( spl16_162
<=> ! [X0,X1] :
( ~ holdsAt(X1,plus(n1,X0))
| happens(sK13(X1,X0),X0)
| releasedAt(X1,plus(n1,X0))
| holdsAt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_162])]) ).
fof(f604,plain,
( spl16_59
<=> ! [X0,X1] : plus(X0,X1) = plus(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_59])]) ).
fof(f946,plain,
( ! [X0,X1] :
( ~ holdsAt(X1,plus(n1,X0))
| happens(sK13(X1,X0),X0)
| releasedAt(X1,plus(n1,X0))
| holdsAt(X1,X0) )
| ~ spl16_59
| ~ spl16_118 ),
inference(superposition,[],[f940,f605]) ).
fof(f605,plain,
( ! [X0,X1] : plus(X0,X1) = plus(X1,X0)
| ~ spl16_59 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f1366,plain,
( spl16_161
| ~ spl16_22
| ~ spl16_118 ),
inference(avatar_split_clause,[],[f949,f939,f430,f1364]) ).
fof(f430,plain,
( spl16_22
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).
fof(f949,plain,
( ! [X0] :
( ~ holdsAt(X0,n2)
| happens(sK13(X0,n1),n1)
| releasedAt(X0,n2)
| holdsAt(X0,n1) )
| ~ spl16_22
| ~ spl16_118 ),
inference(superposition,[],[f940,f432]) ).
fof(f432,plain,
( n2 = plus(n1,n1)
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f1362,plain,
( spl16_160
| ~ spl16_24
| ~ spl16_118 ),
inference(avatar_split_clause,[],[f948,f939,f440,f1360]) ).
fof(f948,plain,
( ! [X0] :
( ~ holdsAt(X0,n1)
| happens(sK13(X0,n0),n0)
| releasedAt(X0,n1)
| holdsAt(X0,n0) )
| ~ spl16_24
| ~ spl16_118 ),
inference(superposition,[],[f940,f442]) ).
fof(f1353,plain,
( spl16_159
| ~ spl16_59
| ~ spl16_109 ),
inference(avatar_split_clause,[],[f906,f890,f604,f1351]) ).
fof(f1351,plain,
( spl16_159
<=> ! [X2,X0,X1] :
( ~ holdsAt(X1,plus(n1,X0))
| ~ terminates(X2,X1,X0)
| ~ happens(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_159])]) ).
fof(f906,plain,
( ! [X2,X0,X1] :
( ~ holdsAt(X1,plus(n1,X0))
| ~ terminates(X2,X1,X0)
| ~ happens(X2,X0) )
| ~ spl16_59
| ~ spl16_109 ),
inference(superposition,[],[f891,f605]) ).
fof(f1349,plain,
( spl16_158
| ~ spl16_46
| ~ spl16_58 ),
inference(avatar_split_clause,[],[f963,f597,f532,f1346]) ).
fof(f963,plain,
( less_or_equal(n6,n7)
| ~ spl16_46
| ~ spl16_58 ),
inference(resolution,[],[f599,f533]) ).
fof(f1338,plain,
( spl16_157
| ~ spl16_22
| ~ spl16_109 ),
inference(avatar_split_clause,[],[f909,f890,f430,f1336]) ).
fof(f909,plain,
( ! [X0,X1] :
( ~ holdsAt(X0,n2)
| ~ terminates(X1,X0,n1)
| ~ happens(X1,n1) )
| ~ spl16_22
| ~ spl16_109 ),
inference(superposition,[],[f891,f432]) ).
fof(f1334,plain,
( spl16_156
| ~ spl16_24
| ~ spl16_109 ),
inference(avatar_split_clause,[],[f908,f890,f440,f1332]) ).
fof(f908,plain,
( ! [X0,X1] :
( ~ holdsAt(X0,n1)
| ~ terminates(X1,X0,n0)
| ~ happens(X1,n0) )
| ~ spl16_24
| ~ spl16_109 ),
inference(superposition,[],[f891,f442]) ).
fof(f1246,plain,
( ~ spl16_155
| ~ spl16_47
| ~ spl16_58 ),
inference(avatar_split_clause,[],[f962,f597,f536,f1243]) ).
fof(f962,plain,
( ~ less(n7,n6)
| ~ spl16_47
| ~ spl16_58 ),
inference(resolution,[],[f599,f537]) ).
fof(f1186,plain,
( spl16_154
| ~ spl16_28
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f874,f858,f460,f1184]) ).
fof(f858,plain,
( spl16_108
<=> ! [X0,X1] :
( less(X0,X1)
| X0 = X1
| less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_108])]) ).
fof(f874,plain,
( ! [X0] :
( less(n9,X0)
| n9 = X0
| less_or_equal(X0,n8) )
| ~ spl16_28
| ~ spl16_108 ),
inference(resolution,[],[f859,f461]) ).
fof(f859,plain,
( ! [X0,X1] :
( less(X1,X0)
| less(X0,X1)
| X0 = X1 )
| ~ spl16_108 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f1182,plain,
( spl16_153
| ~ spl16_30
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f873,f858,f468,f1180]) ).
fof(f1180,plain,
( spl16_153
<=> ! [X0] :
( less(n8,X0)
| n8 = X0
| less_or_equal(X0,n7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_153])]) ).
fof(f873,plain,
( ! [X0] :
( less(n8,X0)
| n8 = X0
| less_or_equal(X0,n7) )
| ~ spl16_30
| ~ spl16_108 ),
inference(resolution,[],[f859,f469]) ).
fof(f1178,plain,
( spl16_152
| ~ spl16_32
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f872,f858,f476,f1176]) ).
fof(f1176,plain,
( spl16_152
<=> ! [X0] :
( less(n7,X0)
| n7 = X0
| less_or_equal(X0,n6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_152])]) ).
fof(f872,plain,
( ! [X0] :
( less(n7,X0)
| n7 = X0
| less_or_equal(X0,n6) )
| ~ spl16_32
| ~ spl16_108 ),
inference(resolution,[],[f859,f477]) ).
fof(f1174,plain,
( spl16_151
| ~ spl16_34
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f871,f858,f484,f1172]) ).
fof(f871,plain,
( ! [X0] :
( less(n6,X0)
| n6 = X0
| less_or_equal(X0,n5) )
| ~ spl16_34
| ~ spl16_108 ),
inference(resolution,[],[f859,f485]) ).
fof(f1170,plain,
( spl16_150
| ~ spl16_36
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f870,f858,f492,f1168]) ).
fof(f1168,plain,
( spl16_150
<=> ! [X0] :
( less(n5,X0)
| n5 = X0
| less_or_equal(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_150])]) ).
fof(f870,plain,
( ! [X0] :
( less(n5,X0)
| n5 = X0
| less_or_equal(X0,n4) )
| ~ spl16_36
| ~ spl16_108 ),
inference(resolution,[],[f859,f493]) ).
fof(f1166,plain,
( spl16_149
| ~ spl16_38
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f869,f858,f500,f1164]) ).
fof(f869,plain,
( ! [X0] :
( less(n4,X0)
| n4 = X0
| less_or_equal(X0,n3) )
| ~ spl16_38
| ~ spl16_108 ),
inference(resolution,[],[f859,f501]) ).
fof(f1162,plain,
( spl16_148
| ~ spl16_46
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f822,f585,f532,f1159]) ).
fof(f822,plain,
( less_or_equal(n7,n8)
| ~ spl16_46
| ~ spl16_57 ),
inference(resolution,[],[f587,f533]) ).
fof(f1157,plain,
( spl16_147
| ~ spl16_40
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f868,f858,f508,f1155]) ).
fof(f868,plain,
( ! [X0] :
( less(n3,X0)
| n3 = X0
| less_or_equal(X0,n2) )
| ~ spl16_40
| ~ spl16_108 ),
inference(resolution,[],[f859,f509]) ).
fof(f1153,plain,
( spl16_146
| ~ spl16_42
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f867,f858,f516,f1151]) ).
fof(f867,plain,
( ! [X0] :
( less(n2,X0)
| n2 = X0
| less_or_equal(X0,n1) )
| ~ spl16_42
| ~ spl16_108 ),
inference(resolution,[],[f859,f517]) ).
fof(f1149,plain,
( spl16_145
| ~ spl16_44
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f866,f858,f524,f1147]) ).
fof(f866,plain,
( ! [X0] :
( less(n1,X0)
| n1 = X0
| less_or_equal(X0,n0) )
| ~ spl16_44
| ~ spl16_108 ),
inference(resolution,[],[f859,f525]) ).
fof(f1145,plain,
( spl16_144
| ~ spl16_46
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f864,f858,f532,f1143]) ).
fof(f864,plain,
( ! [X0,X1] :
( less(X1,X0)
| X0 = X1
| less_or_equal(X0,X1) )
| ~ spl16_46
| ~ spl16_108 ),
inference(resolution,[],[f859,f533]) ).
fof(f1118,plain,
( ~ spl16_143
| ~ spl16_47
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f821,f585,f536,f1115]) ).
fof(f1115,plain,
( spl16_143
<=> less(n8,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_143])]) ).
fof(f821,plain,
( ~ less(n8,n7)
| ~ spl16_47
| ~ spl16_57 ),
inference(resolution,[],[f587,f537]) ).
fof(f1102,plain,
( spl16_142
| ~ spl16_85
| ~ spl16_105 ),
inference(avatar_split_clause,[],[f852,f836,f712,f1100]) ).
fof(f712,plain,
( spl16_85
<=> ! [X0] :
( sP11(X0,spinning,pull)
| happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_85])]) ).
fof(f852,plain,
( ! [X0] :
( terminates(pull,spinning,X0)
| happens(push,X0) )
| ~ spl16_85
| ~ spl16_105 ),
inference(resolution,[],[f837,f713]) ).
fof(f713,plain,
( ! [X0] :
( sP11(X0,spinning,pull)
| happens(push,X0) )
| ~ spl16_85 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f1098,plain,
( spl16_141
| ~ spl16_86
| ~ spl16_103 ),
inference(avatar_split_clause,[],[f851,f828,f716,f1096]) ).
fof(f716,plain,
( spl16_86
<=> ! [X0] :
( sP10(X0,spinning,push)
| happens(pull,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_86])]) ).
fof(f828,plain,
( spl16_103
<=> ! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_103])]) ).
fof(f851,plain,
( ! [X0] :
( sP11(X0,spinning,push)
| happens(pull,X0) )
| ~ spl16_86
| ~ spl16_103 ),
inference(resolution,[],[f829,f717]) ).
fof(f717,plain,
( ! [X0] :
( sP10(X0,spinning,push)
| happens(pull,X0) )
| ~ spl16_86 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f829,plain,
( ! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sP11(X0,X1,X2) )
| ~ spl16_103 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f1094,plain,
( spl16_140
| ~ spl16_87
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f850,f824,f720,f1092]) ).
fof(f720,plain,
( spl16_87
<=> ! [X0] :
( sP9(X0,backwards,pull)
| ~ happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_87])]) ).
fof(f824,plain,
( spl16_102
<=> ! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_102])]) ).
fof(f850,plain,
( ! [X0] :
( sP11(X0,backwards,pull)
| ~ happens(push,X0) )
| ~ spl16_87
| ~ spl16_102 ),
inference(resolution,[],[f825,f721]) ).
fof(f721,plain,
( ! [X0] :
( sP9(X0,backwards,pull)
| ~ happens(push,X0) )
| ~ spl16_87 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f825,plain,
( ! [X2,X0,X1] :
( ~ sP9(X0,X1,X2)
| sP11(X0,X1,X2) )
| ~ spl16_102 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f1090,plain,
( spl16_139
| ~ spl16_88
| ~ spl16_101 ),
inference(avatar_split_clause,[],[f849,f817,f724,f1088]) ).
fof(f724,plain,
( spl16_88
<=> ! [X0] :
( sP8(X0,forwards,pull)
| ~ happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_88])]) ).
fof(f817,plain,
( spl16_101
<=> ! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_101])]) ).
fof(f849,plain,
( ! [X0] :
( sP11(X0,forwards,pull)
| ~ happens(push,X0) )
| ~ spl16_88
| ~ spl16_101 ),
inference(resolution,[],[f818,f725]) ).
fof(f725,plain,
( ! [X0] :
( sP8(X0,forwards,pull)
| ~ happens(push,X0) )
| ~ spl16_88 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f818,plain,
( ! [X2,X0,X1] :
( ~ sP8(X0,X1,X2)
| sP11(X0,X1,X2) )
| ~ spl16_101 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f1086,plain,
( spl16_138
| ~ spl16_90
| ~ spl16_100 ),
inference(avatar_split_clause,[],[f843,f813,f733,f1084]) ).
fof(f733,plain,
( spl16_90
<=> ! [X0] :
( sP7(X0,forwards,pull)
| happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_90])]) ).
fof(f813,plain,
( spl16_100
<=> ! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_100])]) ).
fof(f843,plain,
( ! [X0] :
( sP11(X0,forwards,pull)
| happens(push,X0) )
| ~ spl16_90
| ~ spl16_100 ),
inference(resolution,[],[f814,f734]) ).
fof(f734,plain,
( ! [X0] :
( sP7(X0,forwards,pull)
| happens(push,X0) )
| ~ spl16_90 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f814,plain,
( ! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| sP11(X0,X1,X2) )
| ~ spl16_100 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f1082,plain,
( spl16_137
| ~ spl16_91
| ~ spl16_99 ),
inference(avatar_split_clause,[],[f842,f809,f737,f1080]) ).
fof(f737,plain,
( spl16_91
<=> ! [X0] :
( sP6(X0,backwards,push)
| happens(pull,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_91])]) ).
fof(f809,plain,
( spl16_99
<=> ! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_99])]) ).
fof(f842,plain,
( ! [X0] :
( sP11(X0,backwards,push)
| happens(pull,X0) )
| ~ spl16_91
| ~ spl16_99 ),
inference(resolution,[],[f810,f738]) ).
fof(f738,plain,
( ! [X0] :
( sP6(X0,backwards,push)
| happens(pull,X0) )
| ~ spl16_91 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| sP11(X0,X1,X2) )
| ~ spl16_99 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f1078,plain,
( spl16_136
| ~ spl16_82
| ~ spl16_98 ),
inference(avatar_split_clause,[],[f841,f805,f700,f1076]) ).
fof(f700,plain,
( spl16_82
<=> ! [X0] :
( sP5(X0,spinning,pull)
| ~ happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_82])]) ).
fof(f841,plain,
( ! [X0] :
( initiates(pull,spinning,X0)
| ~ happens(push,X0) )
| ~ spl16_82
| ~ spl16_98 ),
inference(resolution,[],[f806,f701]) ).
fof(f701,plain,
( ! [X0] :
( sP5(X0,spinning,pull)
| ~ happens(push,X0) )
| ~ spl16_82 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f1074,plain,
( spl16_135
| ~ spl16_46
| ~ spl16_56 ),
inference(avatar_split_clause,[],[f641,f575,f532,f1071]) ).
fof(f1071,plain,
( spl16_135
<=> less_or_equal(n8,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_135])]) ).
fof(f575,plain,
( spl16_56
<=> less(n8,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_56])]) ).
fof(f641,plain,
( less_or_equal(n8,n9)
| ~ spl16_46
| ~ spl16_56 ),
inference(resolution,[],[f577,f533]) ).
fof(f577,plain,
( less(n8,n9)
| ~ spl16_56 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f1069,plain,
( spl16_134
| ~ spl16_83
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f840,f797,f704,f1067]) ).
fof(f704,plain,
( spl16_83
<=> ! [X0] :
( sP4(X0,backwards,pull)
| happens(push,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_83])]) ).
fof(f797,plain,
( spl16_96
<=> ! [X2,X0,X1] :
( sP5(X0,X1,X2)
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_96])]) ).
fof(f840,plain,
( ! [X0] :
( sP5(X0,backwards,pull)
| happens(push,X0) )
| ~ spl16_83
| ~ spl16_96 ),
inference(resolution,[],[f798,f705]) ).
fof(f705,plain,
( ! [X0] :
( sP4(X0,backwards,pull)
| happens(push,X0) )
| ~ spl16_83 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f798,plain,
( ! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| sP5(X0,X1,X2) )
| ~ spl16_96 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f1065,plain,
( spl16_133
| ~ spl16_84
| ~ spl16_95 ),
inference(avatar_split_clause,[],[f839,f793,f708,f1063]) ).
fof(f708,plain,
( spl16_84
<=> ! [X0] :
( sP3(X0,forwards,push)
| happens(pull,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_84])]) ).
fof(f793,plain,
( spl16_95
<=> ! [X2,X0,X1] :
( sP5(X0,X1,X2)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_95])]) ).
fof(f839,plain,
( ! [X0] :
( sP5(X0,forwards,push)
| happens(pull,X0) )
| ~ spl16_84
| ~ spl16_95 ),
inference(resolution,[],[f794,f709]) ).
fof(f709,plain,
( ! [X0] :
( sP3(X0,forwards,push)
| happens(pull,X0) )
| ~ spl16_84 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f794,plain,
( ! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| sP5(X0,X1,X2) )
| ~ spl16_95 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f1048,plain,
( spl16_132
| ~ spl16_10
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f865,f858,f374,f1046]) ).
fof(f865,plain,
( ! [X0] :
( less(n0,X0)
| n0 = X0 )
| ~ spl16_10
| ~ spl16_108 ),
inference(resolution,[],[f859,f375]) ).
fof(f1040,plain,
( spl16_131
| ~ spl16_26
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f743,f604,f450,f1037]) ).
fof(f450,plain,
( spl16_26
<=> plus(n2,n3) = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).
fof(f743,plain,
( n5 = plus(n3,n2)
| ~ spl16_26
| ~ spl16_59 ),
inference(superposition,[],[f605,f452]) ).
fof(f452,plain,
( plus(n2,n3) = n5
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1035,plain,
( spl16_130
| ~ spl16_27
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f742,f604,f455,f1032]) ).
fof(f455,plain,
( spl16_27
<=> plus(n1,n3) = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_27])]) ).
fof(f742,plain,
( n4 = plus(n3,n1)
| ~ spl16_27
| ~ spl16_59 ),
inference(superposition,[],[f605,f457]) ).
fof(f457,plain,
( plus(n1,n3) = n4
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f1030,plain,
( ~ spl16_129
| ~ spl16_47
| ~ spl16_56 ),
inference(avatar_split_clause,[],[f640,f575,f536,f1027]) ).
fof(f1027,plain,
( spl16_129
<=> less(n9,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_129])]) ).
fof(f640,plain,
( ~ less(n9,n8)
| ~ spl16_47
| ~ spl16_56 ),
inference(resolution,[],[f577,f537]) ).
fof(f1025,plain,
( spl16_128
| ~ spl16_20
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f741,f604,f420,f1022]) ).
fof(f420,plain,
( spl16_20
<=> n3 = plus(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f741,plain,
( n3 = plus(n2,n1)
| ~ spl16_20
| ~ spl16_59 ),
inference(superposition,[],[f605,f422]) ).
fof(f422,plain,
( n3 = plus(n1,n2)
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f1020,plain,
( spl16_127
| ~ spl16_19
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f740,f604,f415,f1017]) ).
fof(f1017,plain,
( spl16_127
<=> n3 = plus(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_127])]) ).
fof(f740,plain,
( n3 = plus(n3,n0)
| ~ spl16_19
| ~ spl16_59 ),
inference(superposition,[],[f605,f417]) ).
fof(f989,plain,
( spl16_126
| ~ spl16_14
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f602,f568,f391,f986]) ).
fof(f986,plain,
( spl16_126
<=> happens(pull,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_126])]) ).
fof(f391,plain,
( spl16_14
<=> sP2(n2,pull) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f602,plain,
( happens(pull,n2)
| ~ spl16_14
| ~ spl16_55 ),
inference(resolution,[],[f569,f393]) ).
fof(f393,plain,
( sP2(n2,pull)
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f984,plain,
( spl16_125
| ~ spl16_13
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f601,f568,f386,f981]) ).
fof(f981,plain,
( spl16_125
<=> happens(push,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_125])]) ).
fof(f386,plain,
( spl16_13
<=> sP2(n2,push) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f601,plain,
( happens(push,n2)
| ~ spl16_13
| ~ spl16_55 ),
inference(resolution,[],[f569,f388]) ).
fof(f388,plain,
( sP2(n2,push)
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f976,plain,
spl16_124,
inference(avatar_split_clause,[],[f271,f974]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ happens(push,X0)
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ( sP11(X0,X1,X2)
| ( ( happens(push,X0)
| spinning != X1
| pull != X2 )
& ~ sP10(X0,X1,X2)
& ~ sP9(X0,X1,X2)
& ~ sP8(X0,X1,X2)
& ~ sP7(X0,X1,X2)
& ~ sP6(X0,X1,X2) ) )
& ( ( ~ happens(push,X0)
& spinning = X1
& pull = X2 )
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| ~ sP11(X0,X1,X2) ) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X2,X1,X0] :
( ( sP11(X2,X1,X0)
| ( ( happens(push,X2)
| spinning != X1
| pull != X0 )
& ~ sP10(X2,X1,X0)
& ~ sP9(X2,X1,X0)
& ~ sP8(X2,X1,X0)
& ~ sP7(X2,X1,X0)
& ~ sP6(X2,X1,X0) ) )
& ( ( ~ happens(push,X2)
& spinning = X1
& pull = X0 )
| sP10(X2,X1,X0)
| sP9(X2,X1,X0)
| sP8(X2,X1,X0)
| sP7(X2,X1,X0)
| sP6(X2,X1,X0)
| ~ sP11(X2,X1,X0) ) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X2,X1,X0] :
( ( sP11(X2,X1,X0)
| ( ( happens(push,X2)
| spinning != X1
| pull != X0 )
& ~ sP10(X2,X1,X0)
& ~ sP9(X2,X1,X0)
& ~ sP8(X2,X1,X0)
& ~ sP7(X2,X1,X0)
& ~ sP6(X2,X1,X0) ) )
& ( ( ~ happens(push,X2)
& spinning = X1
& pull = X0 )
| sP10(X2,X1,X0)
| sP9(X2,X1,X0)
| sP8(X2,X1,X0)
| sP7(X2,X1,X0)
| sP6(X2,X1,X0)
| ~ sP11(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X2,X1,X0] :
( sP11(X2,X1,X0)
<=> ( ( ~ happens(push,X2)
& spinning = X1
& pull = X0 )
| sP10(X2,X1,X0)
| sP9(X2,X1,X0)
| sP8(X2,X1,X0)
| sP7(X2,X1,X0)
| sP6(X2,X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f972,plain,
spl16_123,
inference(avatar_split_clause,[],[f270,f970]) ).
fof(f270,plain,
! [X2,X0,X1] :
( spinning = X1
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f968,plain,
spl16_122,
inference(avatar_split_clause,[],[f269,f966]) ).
fof(f269,plain,
! [X2,X0,X1] :
( pull = X2
| sP10(X0,X1,X2)
| sP9(X0,X1,X2)
| sP8(X0,X1,X2)
| sP7(X0,X1,X2)
| sP6(X0,X1,X2)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f958,plain,
spl16_121,
inference(avatar_split_clause,[],[f224,f956]) ).
fof(f224,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| terminates(sK15(X0,X1),X0,X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ( terminates(sK15(X0,X1),X0,X1)
& happens(sK15(X0,X1),X1) )
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f94,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
=> ( terminates(sK15(X0,X1),X0,X1)
& happens(sK15(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,plus(X1,n1))
& holdsAt(X0,X1) )
=> holdsAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( terminates(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,plus(X4,n1))
& holdsAt(X1,X4) )
=> holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f954,plain,
spl16_120,
inference(avatar_split_clause,[],[f220,f952]) ).
fof(f220,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| initiates(sK13(X0,X1),X0,X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ( initiates(sK13(X0,X1),X0,X1)
& happens(sK13(X0,X1),X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f90,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
=> ( initiates(sK13(X0,X1),X0,X1)
& happens(sK13(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,plus(X1,n1))
& ~ holdsAt(X0,X1) )
=> ~ holdsAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( initiates(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,plus(X4,n1))
& ~ holdsAt(X1,X4) )
=> ~ holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f945,plain,
spl16_119,
inference(avatar_split_clause,[],[f223,f943]) ).
fof(f223,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| happens(sK15(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f941,plain,
spl16_118,
inference(avatar_split_clause,[],[f219,f939]) ).
fof(f219,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| happens(sK13(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f934,plain,
( spl16_117
| ~ spl16_15
| ~ spl16_49 ),
inference(avatar_split_clause,[],[f591,f544,f396,f931]) ).
fof(f396,plain,
( spl16_15
<=> sP1(n1,pull) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f544,plain,
( spl16_49
<=> ! [X0,X1] :
( sP2(X0,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_49])]) ).
fof(f591,plain,
( sP2(n1,pull)
| ~ spl16_15
| ~ spl16_49 ),
inference(resolution,[],[f545,f398]) ).
fof(f398,plain,
( sP1(n1,pull)
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| sP2(X0,X1) )
| ~ spl16_49 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f927,plain,
spl16_116,
inference(avatar_split_clause,[],[f255,f925]) ).
fof(f255,plain,
! [X2,X0,X1] :
( happens(push,X0)
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ( ( ~ happens(push,X0)
| spinning != X1
| pull != X2 )
& ~ sP4(X0,X1,X2)
& ~ sP3(X0,X1,X2) ) )
& ( ( happens(push,X0)
& spinning = X1
& pull = X2 )
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| ~ sP5(X0,X1,X2) ) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X2,X1,X0] :
( ( sP5(X2,X1,X0)
| ( ( ~ happens(push,X2)
| spinning != X1
| pull != X0 )
& ~ sP4(X2,X1,X0)
& ~ sP3(X2,X1,X0) ) )
& ( ( happens(push,X2)
& spinning = X1
& pull = X0 )
| sP4(X2,X1,X0)
| sP3(X2,X1,X0)
| ~ sP5(X2,X1,X0) ) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X2,X1,X0] :
( ( sP5(X2,X1,X0)
| ( ( ~ happens(push,X2)
| spinning != X1
| pull != X0 )
& ~ sP4(X2,X1,X0)
& ~ sP3(X2,X1,X0) ) )
& ( ( happens(push,X2)
& spinning = X1
& pull = X0 )
| sP4(X2,X1,X0)
| sP3(X2,X1,X0)
| ~ sP5(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X2,X1,X0] :
( sP5(X2,X1,X0)
<=> ( ( happens(push,X2)
& spinning = X1
& pull = X0 )
| sP4(X2,X1,X0)
| sP3(X2,X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f923,plain,
spl16_115,
inference(avatar_split_clause,[],[f254,f921]) ).
fof(f254,plain,
! [X2,X0,X1] :
( spinning = X1
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f919,plain,
spl16_114,
inference(avatar_split_clause,[],[f253,f917]) ).
fof(f253,plain,
! [X2,X0,X1] :
( pull = X2
| sP4(X0,X1,X2)
| sP3(X0,X1,X2)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f915,plain,
spl16_113,
inference(avatar_split_clause,[],[f231,f913]) ).
fof(f913,plain,
( spl16_113
<=> ! [X0,X1] :
( push = X1
| pull = X1
| sP1(X0,X1)
| sP0(X0,X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_113])]) ).
fof(f231,plain,
! [X0,X1] :
( push = X1
| pull = X1
| sP1(X0,X1)
| sP0(X0,X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( n2 != X0
| push != X1 )
& ( n2 != X0
| pull != X1 )
& ~ sP1(X0,X1)
& ~ sP0(X0,X1) ) )
& ( ( n2 = X0
& push = X1 )
| ( n2 = X0
& pull = X1 )
| sP1(X0,X1)
| sP0(X0,X1)
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( n2 != X1
| push != X0 )
& ( n2 != X1
| pull != X0 )
& ~ sP1(X1,X0)
& ~ sP0(X1,X0) ) )
& ( ( n2 = X1
& push = X0 )
| ( n2 = X1
& pull = X0 )
| sP1(X1,X0)
| sP0(X1,X0)
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( n2 != X1
| push != X0 )
& ( n2 != X1
| pull != X0 )
& ~ sP1(X1,X0)
& ~ sP0(X1,X0) ) )
& ( ( n2 = X1
& push = X0 )
| ( n2 = X1
& pull = X0 )
| sP1(X1,X0)
| sP0(X1,X0)
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( n2 = X1
& push = X0 )
| ( n2 = X1
& pull = X0 )
| sP1(X1,X0)
| sP0(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f905,plain,
spl16_112,
inference(avatar_split_clause,[],[f328,f903]) ).
fof(f903,plain,
( spl16_112
<=> ! [X0,X1] :
( n2 = X0
| sP1(X0,X1)
| sP0(X0,X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_112])]) ).
fof(f328,plain,
! [X0,X1] :
( n2 = X0
| sP1(X0,X1)
| sP0(X0,X1)
| ~ sP2(X0,X1) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( n2 = X0
| n2 = X0
| sP1(X0,X1)
| sP0(X0,X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f901,plain,
spl16_111,
inference(avatar_split_clause,[],[f250,f899]) ).
fof(f250,plain,
! [X2,X0,X1] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( initiates(X0,X2,X1)
& happens(X0,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4,X1] :
( ( initiates(X3,X1,X4)
& happens(X3,X4) )
=> holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f897,plain,
( spl16_110
| ~ spl16_16
| ~ spl16_48 ),
inference(avatar_split_clause,[],[f590,f540,f401,f894]) ).
fof(f540,plain,
( spl16_48
<=> ! [X0,X1] :
( sP2(X0,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_48])]) ).
fof(f590,plain,
( sP2(n0,push)
| ~ spl16_16
| ~ spl16_48 ),
inference(resolution,[],[f541,f403]) ).
fof(f541,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sP2(X0,X1) )
| ~ spl16_48 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f892,plain,
spl16_109,
inference(avatar_split_clause,[],[f249,f890]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( terminates(X0,X2,X1)
& happens(X0,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X4,X1] :
( ( terminates(X3,X1,X4)
& happens(X3,X4) )
=> ~ holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f860,plain,
spl16_108,
inference(avatar_split_clause,[],[f230,f858]) ).
fof(f230,plain,
! [X0,X1] :
( less(X0,X1)
| X0 = X1
| less(X1,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X8,X9] :
( less(X8,X9)
<=> ( X8 != X9
& ~ less(X9,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f856,plain,
spl16_107,
inference(avatar_split_clause,[],[f225,f854]) ).
fof(f225,plain,
! [X0,X1] :
( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( X0 != X1
& ~ less(X0,X1) ) )
& ( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( X0 != X1
& ~ less(X0,X1) ) )
& ( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X8,X9] :
( less_or_equal(X8,X9)
<=> ( X8 = X9
| less(X8,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f848,plain,
( spl16_106
| ~ spl16_11
| ~ spl16_45 ),
inference(avatar_split_clause,[],[f589,f528,f378,f845]) ).
fof(f589,plain,
( less(n0,n1)
| ~ spl16_11
| ~ spl16_45 ),
inference(resolution,[],[f529,f379]) ).
fof(f838,plain,
spl16_105,
inference(avatar_split_clause,[],[f299,f836]) ).
fof(f299,plain,
! [X2,X0,X1] :
( terminates(X0,X1,X2)
| ~ sP11(X2,X1,X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ~ sP11(X2,X1,X0) )
& ( sP11(X2,X1,X0)
| ~ terminates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> sP11(X2,X1,X0) ),
inference(definition_folding,[],[f77,f116,f115,f114,f113,f112,f111]) ).
fof(f111,plain,
! [X2,X1,X0] :
( sP6(X2,X1,X0)
<=> ( ~ happens(pull,X2)
& backwards = X1
& push = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f112,plain,
! [X2,X1,X0] :
( sP7(X2,X1,X0)
<=> ( ~ happens(push,X2)
& forwards = X1
& pull = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f113,plain,
! [X2,X1,X0] :
( sP8(X2,X1,X0)
<=> ( happens(push,X2)
& forwards = X1
& pull = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f114,plain,
! [X2,X1,X0] :
( sP9(X2,X1,X0)
<=> ( happens(push,X2)
& backwards = X1
& pull = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f115,plain,
! [X2,X1,X0] :
( sP10(X2,X1,X0)
<=> ( ~ happens(pull,X2)
& spinning = X1
& push = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f77,plain,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> ( ( ~ happens(push,X2)
& spinning = X1
& pull = X0 )
| ( ~ happens(pull,X2)
& spinning = X1
& push = X0 )
| ( happens(push,X2)
& backwards = X1
& pull = X0 )
| ( happens(push,X2)
& forwards = X1
& pull = X0 )
| ( ~ happens(push,X2)
& forwards = X1
& pull = X0 )
| ( ~ happens(pull,X2)
& backwards = X1
& push = X0 ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X1,X4] :
( terminates(X3,X1,X4)
<=> ( ( ~ happens(push,X4)
& spinning = X1
& pull = X3 )
| ( ~ happens(pull,X4)
& spinning = X1
& push = X3 )
| ( happens(push,X4)
& backwards = X1
& pull = X3 )
| ( happens(push,X4)
& forwards = X1
& pull = X3 )
| ( ~ happens(push,X4)
& forwards = X1
& pull = X3 )
| ( ~ happens(pull,X4)
& backwards = X1
& push = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f834,plain,
spl16_104,
inference(avatar_split_clause,[],[f298,f832]) ).
fof(f298,plain,
! [X2,X0,X1] :
( sP11(X2,X1,X0)
| ~ terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f177]) ).
fof(f830,plain,
spl16_103,
inference(avatar_split_clause,[],[f276,f828]) ).
fof(f276,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f826,plain,
spl16_102,
inference(avatar_split_clause,[],[f275,f824]) ).
fof(f275,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f819,plain,
spl16_101,
inference(avatar_split_clause,[],[f274,f817]) ).
fof(f274,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f815,plain,
spl16_100,
inference(avatar_split_clause,[],[f273,f813]) ).
fof(f273,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f811,plain,
spl16_99,
inference(avatar_split_clause,[],[f272,f809]) ).
fof(f272,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f807,plain,
spl16_98,
inference(avatar_split_clause,[],[f268,f805]) ).
fof(f268,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| ~ sP5(X2,X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ~ sP5(X2,X1,X0) )
& ( sP5(X2,X1,X0)
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> sP5(X2,X1,X0) ),
inference(definition_folding,[],[f76,f109,f108,f107]) ).
fof(f107,plain,
! [X2,X1,X0] :
( sP3(X2,X1,X0)
<=> ( ~ happens(pull,X2)
& forwards = X1
& push = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f108,plain,
! [X2,X1,X0] :
( sP4(X2,X1,X0)
<=> ( ~ happens(push,X2)
& backwards = X1
& pull = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f76,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( happens(push,X2)
& spinning = X1
& pull = X0 )
| ( ~ happens(push,X2)
& backwards = X1
& pull = X0 )
| ( ~ happens(pull,X2)
& forwards = X1
& push = X0 ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X1,X4] :
( initiates(X3,X1,X4)
<=> ( ( happens(push,X4)
& spinning = X1
& pull = X3 )
| ( ~ happens(push,X4)
& backwards = X1
& pull = X3 )
| ( ~ happens(pull,X4)
& forwards = X1
& push = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f803,plain,
spl16_97,
inference(avatar_split_clause,[],[f267,f801]) ).
fof(f267,plain,
! [X2,X0,X1] :
( sP5(X2,X1,X0)
| ~ initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f799,plain,
spl16_96,
inference(avatar_split_clause,[],[f257,f797]) ).
fof(f257,plain,
! [X2,X0,X1] :
( sP5(X0,X1,X2)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f795,plain,
spl16_95,
inference(avatar_split_clause,[],[f256,f793]) ).
fof(f256,plain,
! [X2,X0,X1] :
( sP5(X0,X1,X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f782,plain,
( spl16_94
| ~ spl16_11
| ~ spl16_43 ),
inference(avatar_split_clause,[],[f583,f520,f378,f779]) ).
fof(f583,plain,
( less(n1,n2)
| ~ spl16_11
| ~ spl16_43 ),
inference(resolution,[],[f521,f379]) ).
fof(f765,plain,
( spl16_93
| ~ spl16_11
| ~ spl16_41 ),
inference(avatar_split_clause,[],[f582,f512,f378,f762]) ).
fof(f582,plain,
( less(n2,n3)
| ~ spl16_11
| ~ spl16_41 ),
inference(resolution,[],[f513,f379]) ).
fof(f760,plain,
( spl16_92
| ~ spl16_11
| ~ spl16_39 ),
inference(avatar_split_clause,[],[f581,f504,f378,f757]) ).
fof(f581,plain,
( less(n3,n4)
| ~ spl16_11
| ~ spl16_39 ),
inference(resolution,[],[f505,f379]) ).
fof(f739,plain,
spl16_91,
inference(avatar_split_clause,[],[f327,f737]) ).
fof(f327,plain,
! [X0] :
( sP6(X0,backwards,push)
| happens(pull,X0) ),
inference(equality_resolution,[],[f326]) ).
fof(f326,plain,
! [X2,X0] :
( sP6(X0,backwards,X2)
| happens(pull,X0)
| push != X2 ),
inference(equality_resolution,[],[f297]) ).
fof(f297,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| happens(pull,X0)
| backwards != X1
| push != X2 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| happens(pull,X0)
| backwards != X1
| push != X2 )
& ( ( ~ happens(pull,X0)
& backwards = X1
& push = X2 )
| ~ sP6(X0,X1,X2) ) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X2,X1,X0] :
( ( sP6(X2,X1,X0)
| happens(pull,X2)
| backwards != X1
| push != X0 )
& ( ( ~ happens(pull,X2)
& backwards = X1
& push = X0 )
| ~ sP6(X2,X1,X0) ) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X2,X1,X0] :
( ( sP6(X2,X1,X0)
| happens(pull,X2)
| backwards != X1
| push != X0 )
& ( ( ~ happens(pull,X2)
& backwards = X1
& push = X0 )
| ~ sP6(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f735,plain,
spl16_90,
inference(avatar_split_clause,[],[f325,f733]) ).
fof(f325,plain,
! [X0] :
( sP7(X0,forwards,pull)
| happens(push,X0) ),
inference(equality_resolution,[],[f324]) ).
fof(f324,plain,
! [X2,X0] :
( sP7(X0,forwards,X2)
| happens(push,X0)
| pull != X2 ),
inference(equality_resolution,[],[f293]) ).
fof(f293,plain,
! [X2,X0,X1] :
( sP7(X0,X1,X2)
| happens(push,X0)
| forwards != X1
| pull != X2 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ( sP7(X0,X1,X2)
| happens(push,X0)
| forwards != X1
| pull != X2 )
& ( ( ~ happens(push,X0)
& forwards = X1
& pull = X2 )
| ~ sP7(X0,X1,X2) ) ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
! [X2,X1,X0] :
( ( sP7(X2,X1,X0)
| happens(push,X2)
| forwards != X1
| pull != X0 )
& ( ( ~ happens(push,X2)
& forwards = X1
& pull = X0 )
| ~ sP7(X2,X1,X0) ) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X2,X1,X0] :
( ( sP7(X2,X1,X0)
| happens(push,X2)
| forwards != X1
| pull != X0 )
& ( ( ~ happens(push,X2)
& forwards = X1
& pull = X0 )
| ~ sP7(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f112]) ).
fof(f731,plain,
( spl16_89
| ~ spl16_11
| ~ spl16_37 ),
inference(avatar_split_clause,[],[f580,f496,f378,f728]) ).
fof(f580,plain,
( less(n4,n5)
| ~ spl16_11
| ~ spl16_37 ),
inference(resolution,[],[f497,f379]) ).
fof(f726,plain,
spl16_88,
inference(avatar_split_clause,[],[f323,f724]) ).
fof(f323,plain,
! [X0] :
( sP8(X0,forwards,pull)
| ~ happens(push,X0) ),
inference(equality_resolution,[],[f322]) ).
fof(f322,plain,
! [X2,X0] :
( sP8(X0,forwards,X2)
| ~ happens(push,X0)
| pull != X2 ),
inference(equality_resolution,[],[f289]) ).
fof(f289,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| ~ happens(push,X0)
| forwards != X1
| pull != X2 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ~ happens(push,X0)
| forwards != X1
| pull != X2 )
& ( ( happens(push,X0)
& forwards = X1
& pull = X2 )
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X2,X1,X0] :
( ( sP8(X2,X1,X0)
| ~ happens(push,X2)
| forwards != X1
| pull != X0 )
& ( ( happens(push,X2)
& forwards = X1
& pull = X0 )
| ~ sP8(X2,X1,X0) ) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X2,X1,X0] :
( ( sP8(X2,X1,X0)
| ~ happens(push,X2)
| forwards != X1
| pull != X0 )
& ( ( happens(push,X2)
& forwards = X1
& pull = X0 )
| ~ sP8(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f722,plain,
spl16_87,
inference(avatar_split_clause,[],[f321,f720]) ).
fof(f321,plain,
! [X0] :
( sP9(X0,backwards,pull)
| ~ happens(push,X0) ),
inference(equality_resolution,[],[f320]) ).
fof(f320,plain,
! [X2,X0] :
( sP9(X0,backwards,X2)
| ~ happens(push,X0)
| pull != X2 ),
inference(equality_resolution,[],[f285]) ).
fof(f285,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| ~ happens(push,X0)
| backwards != X1
| pull != X2 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ( sP9(X0,X1,X2)
| ~ happens(push,X0)
| backwards != X1
| pull != X2 )
& ( ( happens(push,X0)
& backwards = X1
& pull = X2 )
| ~ sP9(X0,X1,X2) ) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X2,X1,X0] :
( ( sP9(X2,X1,X0)
| ~ happens(push,X2)
| backwards != X1
| pull != X0 )
& ( ( happens(push,X2)
& backwards = X1
& pull = X0 )
| ~ sP9(X2,X1,X0) ) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X2,X1,X0] :
( ( sP9(X2,X1,X0)
| ~ happens(push,X2)
| backwards != X1
| pull != X0 )
& ( ( happens(push,X2)
& backwards = X1
& pull = X0 )
| ~ sP9(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f718,plain,
spl16_86,
inference(avatar_split_clause,[],[f319,f716]) ).
fof(f319,plain,
! [X0] :
( sP10(X0,spinning,push)
| happens(pull,X0) ),
inference(equality_resolution,[],[f318]) ).
fof(f318,plain,
! [X2,X0] :
( sP10(X0,spinning,X2)
| happens(pull,X0)
| push != X2 ),
inference(equality_resolution,[],[f281]) ).
fof(f281,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| happens(pull,X0)
| spinning != X1
| push != X2 ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| happens(pull,X0)
| spinning != X1
| push != X2 )
& ( ( ~ happens(pull,X0)
& spinning = X1
& push = X2 )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X2,X1,X0] :
( ( sP10(X2,X1,X0)
| happens(pull,X2)
| spinning != X1
| push != X0 )
& ( ( ~ happens(pull,X2)
& spinning = X1
& push = X0 )
| ~ sP10(X2,X1,X0) ) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X2,X1,X0] :
( ( sP10(X2,X1,X0)
| happens(pull,X2)
| spinning != X1
| push != X0 )
& ( ( ~ happens(pull,X2)
& spinning = X1
& push = X0 )
| ~ sP10(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f714,plain,
spl16_85,
inference(avatar_split_clause,[],[f317,f712]) ).
fof(f317,plain,
! [X0] :
( sP11(X0,spinning,pull)
| happens(push,X0) ),
inference(equality_resolution,[],[f316]) ).
fof(f316,plain,
! [X2,X0] :
( sP11(X0,spinning,X2)
| happens(push,X0)
| pull != X2 ),
inference(equality_resolution,[],[f277]) ).
fof(f277,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| happens(push,X0)
| spinning != X1
| pull != X2 ),
inference(cnf_transformation,[],[f161]) ).
fof(f710,plain,
spl16_84,
inference(avatar_split_clause,[],[f315,f708]) ).
fof(f315,plain,
! [X0] :
( sP3(X0,forwards,push)
| happens(pull,X0) ),
inference(equality_resolution,[],[f314]) ).
fof(f314,plain,
! [X2,X0] :
( sP3(X0,forwards,X2)
| happens(pull,X0)
| push != X2 ),
inference(equality_resolution,[],[f266]) ).
fof(f266,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| happens(pull,X0)
| forwards != X1
| push != X2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| happens(pull,X0)
| forwards != X1
| push != X2 )
& ( ( ~ happens(pull,X0)
& forwards = X1
& push = X2 )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X2,X1,X0] :
( ( sP3(X2,X1,X0)
| happens(pull,X2)
| forwards != X1
| push != X0 )
& ( ( ~ happens(pull,X2)
& forwards = X1
& push = X0 )
| ~ sP3(X2,X1,X0) ) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X2,X1,X0] :
( ( sP3(X2,X1,X0)
| happens(pull,X2)
| forwards != X1
| push != X0 )
& ( ( ~ happens(pull,X2)
& forwards = X1
& push = X0 )
| ~ sP3(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f706,plain,
spl16_83,
inference(avatar_split_clause,[],[f313,f704]) ).
fof(f313,plain,
! [X0] :
( sP4(X0,backwards,pull)
| happens(push,X0) ),
inference(equality_resolution,[],[f312]) ).
fof(f312,plain,
! [X2,X0] :
( sP4(X0,backwards,X2)
| happens(push,X0)
| pull != X2 ),
inference(equality_resolution,[],[f262]) ).
fof(f262,plain,
! [X2,X0,X1] :
( sP4(X0,X1,X2)
| happens(push,X0)
| backwards != X1
| pull != X2 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| happens(push,X0)
| backwards != X1
| pull != X2 )
& ( ( ~ happens(push,X0)
& backwards = X1
& pull = X2 )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X2,X1,X0] :
( ( sP4(X2,X1,X0)
| happens(push,X2)
| backwards != X1
| pull != X0 )
& ( ( ~ happens(push,X2)
& backwards = X1
& pull = X0 )
| ~ sP4(X2,X1,X0) ) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X2,X1,X0] :
( ( sP4(X2,X1,X0)
| happens(push,X2)
| backwards != X1
| pull != X0 )
& ( ( ~ happens(push,X2)
& backwards = X1
& pull = X0 )
| ~ sP4(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f702,plain,
spl16_82,
inference(avatar_split_clause,[],[f311,f700]) ).
fof(f311,plain,
! [X0] :
( sP5(X0,spinning,pull)
| ~ happens(push,X0) ),
inference(equality_resolution,[],[f310]) ).
fof(f310,plain,
! [X2,X0] :
( sP5(X0,spinning,X2)
| ~ happens(push,X0)
| pull != X2 ),
inference(equality_resolution,[],[f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( sP5(X0,X1,X2)
| ~ happens(push,X0)
| spinning != X1
| pull != X2 ),
inference(cnf_transformation,[],[f151]) ).
fof(f698,plain,
spl16_81,
inference(avatar_split_clause,[],[f296,f696]) ).
fof(f696,plain,
( spl16_81
<=> ! [X2,X0,X1] :
( ~ happens(pull,X0)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_81])]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ happens(pull,X0)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f694,plain,
spl16_80,
inference(avatar_split_clause,[],[f295,f692]) ).
fof(f692,plain,
( spl16_80
<=> ! [X2,X0,X1] :
( backwards = X1
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_80])]) ).
fof(f295,plain,
! [X2,X0,X1] :
( backwards = X1
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f690,plain,
spl16_79,
inference(avatar_split_clause,[],[f294,f688]) ).
fof(f688,plain,
( spl16_79
<=> ! [X2,X0,X1] :
( push = X2
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_79])]) ).
fof(f294,plain,
! [X2,X0,X1] :
( push = X2
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f686,plain,
( spl16_78
| ~ spl16_11
| ~ spl16_35 ),
inference(avatar_split_clause,[],[f579,f488,f378,f683]) ).
fof(f579,plain,
( less(n5,n6)
| ~ spl16_11
| ~ spl16_35 ),
inference(resolution,[],[f489,f379]) ).
fof(f681,plain,
spl16_77,
inference(avatar_split_clause,[],[f292,f679]) ).
fof(f679,plain,
( spl16_77
<=> ! [X2,X0,X1] :
( ~ happens(push,X0)
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_77])]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ happens(push,X0)
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f173]) ).
fof(f677,plain,
spl16_76,
inference(avatar_split_clause,[],[f291,f675]) ).
fof(f675,plain,
( spl16_76
<=> ! [X2,X0,X1] :
( forwards = X1
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_76])]) ).
fof(f291,plain,
! [X2,X0,X1] :
( forwards = X1
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f173]) ).
fof(f673,plain,
spl16_75,
inference(avatar_split_clause,[],[f290,f671]) ).
fof(f671,plain,
( spl16_75
<=> ! [X2,X0,X1] :
( pull = X2
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_75])]) ).
fof(f290,plain,
! [X2,X0,X1] :
( pull = X2
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f173]) ).
fof(f669,plain,
spl16_74,
inference(avatar_split_clause,[],[f288,f667]) ).
fof(f667,plain,
( spl16_74
<=> ! [X2,X0,X1] :
( happens(push,X0)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_74])]) ).
fof(f288,plain,
! [X2,X0,X1] :
( happens(push,X0)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f665,plain,
spl16_73,
inference(avatar_split_clause,[],[f287,f663]) ).
fof(f663,plain,
( spl16_73
<=> ! [X2,X0,X1] :
( forwards = X1
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_73])]) ).
fof(f287,plain,
! [X2,X0,X1] :
( forwards = X1
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f661,plain,
spl16_72,
inference(avatar_split_clause,[],[f286,f659]) ).
fof(f659,plain,
( spl16_72
<=> ! [X2,X0,X1] :
( pull = X2
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_72])]) ).
fof(f286,plain,
! [X2,X0,X1] :
( pull = X2
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f657,plain,
spl16_71,
inference(avatar_split_clause,[],[f284,f655]) ).
fof(f655,plain,
( spl16_71
<=> ! [X2,X0,X1] :
( happens(push,X0)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_71])]) ).
fof(f284,plain,
! [X2,X0,X1] :
( happens(push,X0)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f653,plain,
spl16_70,
inference(avatar_split_clause,[],[f283,f651]) ).
fof(f651,plain,
( spl16_70
<=> ! [X2,X0,X1] :
( backwards = X1
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_70])]) ).
fof(f283,plain,
! [X2,X0,X1] :
( backwards = X1
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f649,plain,
spl16_69,
inference(avatar_split_clause,[],[f282,f647]) ).
fof(f647,plain,
( spl16_69
<=> ! [X2,X0,X1] :
( pull = X2
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_69])]) ).
fof(f282,plain,
! [X2,X0,X1] :
( pull = X2
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f645,plain,
spl16_68,
inference(avatar_split_clause,[],[f280,f643]) ).
fof(f643,plain,
( spl16_68
<=> ! [X2,X0,X1] :
( ~ happens(pull,X0)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_68])]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ happens(pull,X0)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f638,plain,
spl16_67,
inference(avatar_split_clause,[],[f279,f636]) ).
fof(f636,plain,
( spl16_67
<=> ! [X2,X0,X1] :
( spinning = X1
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_67])]) ).
fof(f279,plain,
! [X2,X0,X1] :
( spinning = X1
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f634,plain,
spl16_66,
inference(avatar_split_clause,[],[f278,f632]) ).
fof(f632,plain,
( spl16_66
<=> ! [X2,X0,X1] :
( push = X2
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_66])]) ).
fof(f278,plain,
! [X2,X0,X1] :
( push = X2
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f630,plain,
spl16_65,
inference(avatar_split_clause,[],[f265,f628]) ).
fof(f628,plain,
( spl16_65
<=> ! [X2,X0,X1] :
( ~ happens(pull,X0)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_65])]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ happens(pull,X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f626,plain,
spl16_64,
inference(avatar_split_clause,[],[f264,f624]) ).
fof(f624,plain,
( spl16_64
<=> ! [X2,X0,X1] :
( forwards = X1
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_64])]) ).
fof(f264,plain,
! [X2,X0,X1] :
( forwards = X1
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f622,plain,
spl16_63,
inference(avatar_split_clause,[],[f263,f620]) ).
fof(f620,plain,
( spl16_63
<=> ! [X2,X0,X1] :
( push = X2
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_63])]) ).
fof(f263,plain,
! [X2,X0,X1] :
( push = X2
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f618,plain,
spl16_62,
inference(avatar_split_clause,[],[f261,f616]) ).
fof(f616,plain,
( spl16_62
<=> ! [X2,X0,X1] :
( ~ happens(push,X0)
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_62])]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ happens(push,X0)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f614,plain,
spl16_61,
inference(avatar_split_clause,[],[f260,f612]) ).
fof(f612,plain,
( spl16_61
<=> ! [X2,X0,X1] :
( backwards = X1
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_61])]) ).
fof(f260,plain,
! [X2,X0,X1] :
( backwards = X1
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f610,plain,
spl16_60,
inference(avatar_split_clause,[],[f259,f608]) ).
fof(f608,plain,
( spl16_60
<=> ! [X2,X0,X1] :
( pull = X2
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_60])]) ).
fof(f259,plain,
! [X2,X0,X1] :
( pull = X2
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f606,plain,
spl16_59,
inference(avatar_split_clause,[],[f216,f604]) ).
fof(f216,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X8,X9] : plus(X8,X9) = plus(X9,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f600,plain,
( spl16_58
| ~ spl16_11
| ~ spl16_33 ),
inference(avatar_split_clause,[],[f573,f480,f378,f597]) ).
fof(f573,plain,
( less(n6,n7)
| ~ spl16_11
| ~ spl16_33 ),
inference(resolution,[],[f481,f379]) ).
fof(f588,plain,
( spl16_57
| ~ spl16_11
| ~ spl16_31 ),
inference(avatar_split_clause,[],[f572,f472,f378,f585]) ).
fof(f572,plain,
( less(n7,n8)
| ~ spl16_11
| ~ spl16_31 ),
inference(resolution,[],[f473,f379]) ).
fof(f578,plain,
( spl16_56
| ~ spl16_11
| ~ spl16_29 ),
inference(avatar_split_clause,[],[f571,f464,f378,f575]) ).
fof(f571,plain,
( less(n8,n9)
| ~ spl16_11
| ~ spl16_29 ),
inference(resolution,[],[f465,f379]) ).
fof(f570,plain,
spl16_55,
inference(avatar_split_clause,[],[f246,f568]) ).
fof(f246,plain,
! [X0,X1] :
( happens(X0,X1)
| ~ sP2(X1,X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ happens(X0,X1) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( happens(X0,X1)
<=> sP2(X1,X0) ),
inference(definition_folding,[],[f69,f105,f104,f103]) ).
fof(f103,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( n0 = X1
& push = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f104,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( n1 = X1
& pull = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f69,plain,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( n2 = X1
& push = X0 )
| ( n2 = X1
& pull = X0 )
| ( n1 = X1
& pull = X0 )
| ( n0 = X1
& push = X0 ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X4] :
( happens(X3,X4)
<=> ( ( n2 = X4
& push = X3 )
| ( n2 = X4
& pull = X3 )
| ( n1 = X4
& pull = X3 )
| ( n0 = X4
& push = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f566,plain,
spl16_54,
inference(avatar_split_clause,[],[f245,f564]) ).
fof(f245,plain,
! [X0,X1] :
( sP2(X1,X0)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f562,plain,
spl16_53,
inference(avatar_split_clause,[],[f243,f560]) ).
fof(f243,plain,
! [X0,X1] :
( n0 = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| n0 != X0
| push != X1 )
& ( ( n0 = X0
& push = X1 )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| n0 != X1
| push != X0 )
& ( ( n0 = X1
& push = X0 )
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| n0 != X1
| push != X0 )
& ( ( n0 = X1
& push = X0 )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f558,plain,
spl16_52,
inference(avatar_split_clause,[],[f242,f556]) ).
fof(f556,plain,
( spl16_52
<=> ! [X0,X1] :
( push = X1
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_52])]) ).
fof(f242,plain,
! [X0,X1] :
( push = X1
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f554,plain,
spl16_51,
inference(avatar_split_clause,[],[f240,f552]) ).
fof(f552,plain,
( spl16_51
<=> ! [X0,X1] :
( n1 = X0
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_51])]) ).
fof(f240,plain,
! [X0,X1] :
( n1 = X0
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| n1 != X0
| pull != X1 )
& ( ( n1 = X0
& pull = X1 )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| n1 != X1
| pull != X0 )
& ( ( n1 = X1
& pull = X0 )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| n1 != X1
| pull != X0 )
& ( ( n1 = X1
& pull = X0 )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f550,plain,
spl16_50,
inference(avatar_split_clause,[],[f239,f548]) ).
fof(f548,plain,
( spl16_50
<=> ! [X0,X1] :
( pull = X1
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_50])]) ).
fof(f239,plain,
! [X0,X1] :
( pull = X1
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f546,plain,
spl16_49,
inference(avatar_split_clause,[],[f236,f544]) ).
fof(f236,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f542,plain,
spl16_48,
inference(avatar_split_clause,[],[f235,f540]) ).
fof(f235,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f538,plain,
spl16_47,
inference(avatar_split_clause,[],[f228,f536]) ).
fof(f228,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f534,plain,
spl16_46,
inference(avatar_split_clause,[],[f226,f532]) ).
fof(f226,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f530,plain,
spl16_45,
inference(avatar_split_clause,[],[f215,f528]) ).
fof(f215,plain,
! [X0] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X8] :
( less(X8,n1)
<=> less_or_equal(X8,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f526,plain,
spl16_44,
inference(avatar_split_clause,[],[f214,f524]) ).
fof(f214,plain,
! [X0] :
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f522,plain,
spl16_43,
inference(avatar_split_clause,[],[f213,f520]) ).
fof(f213,plain,
! [X0] :
( less(X0,n2)
| ~ less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X8] :
( less(X8,n2)
<=> less_or_equal(X8,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f518,plain,
spl16_42,
inference(avatar_split_clause,[],[f212,f516]) ).
fof(f212,plain,
! [X0] :
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f514,plain,
spl16_41,
inference(avatar_split_clause,[],[f211,f512]) ).
fof(f211,plain,
! [X0] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X8] :
( less(X8,n3)
<=> less_or_equal(X8,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f510,plain,
spl16_40,
inference(avatar_split_clause,[],[f210,f508]) ).
fof(f210,plain,
! [X0] :
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f506,plain,
spl16_39,
inference(avatar_split_clause,[],[f209,f504]) ).
fof(f209,plain,
! [X0] :
( less(X0,n4)
| ~ less_or_equal(X0,n3) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( less(X0,n4)
| ~ less_or_equal(X0,n3) )
& ( less_or_equal(X0,n3)
| ~ less(X0,n4) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( less(X0,n4)
<=> less_or_equal(X0,n3) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X8] :
( less(X8,n4)
<=> less_or_equal(X8,n3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f502,plain,
spl16_38,
inference(avatar_split_clause,[],[f208,f500]) ).
fof(f208,plain,
! [X0] :
( less_or_equal(X0,n3)
| ~ less(X0,n4) ),
inference(cnf_transformation,[],[f123]) ).
fof(f498,plain,
spl16_37,
inference(avatar_split_clause,[],[f207,f496]) ).
fof(f207,plain,
! [X0] :
( less(X0,n5)
| ~ less_or_equal(X0,n4) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( less(X0,n5)
| ~ less_or_equal(X0,n4) )
& ( less_or_equal(X0,n4)
| ~ less(X0,n5) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( less(X0,n5)
<=> less_or_equal(X0,n4) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X8] :
( less(X8,n5)
<=> less_or_equal(X8,n4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f494,plain,
spl16_36,
inference(avatar_split_clause,[],[f206,f492]) ).
fof(f206,plain,
! [X0] :
( less_or_equal(X0,n4)
| ~ less(X0,n5) ),
inference(cnf_transformation,[],[f122]) ).
fof(f490,plain,
spl16_35,
inference(avatar_split_clause,[],[f205,f488]) ).
fof(f205,plain,
! [X0] :
( less(X0,n6)
| ~ less_or_equal(X0,n5) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( less(X0,n6)
| ~ less_or_equal(X0,n5) )
& ( less_or_equal(X0,n5)
| ~ less(X0,n6) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( less(X0,n6)
<=> less_or_equal(X0,n5) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X8] :
( less(X8,n6)
<=> less_or_equal(X8,n5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f486,plain,
spl16_34,
inference(avatar_split_clause,[],[f204,f484]) ).
fof(f204,plain,
! [X0] :
( less_or_equal(X0,n5)
| ~ less(X0,n6) ),
inference(cnf_transformation,[],[f121]) ).
fof(f482,plain,
spl16_33,
inference(avatar_split_clause,[],[f203,f480]) ).
fof(f203,plain,
! [X0] :
( less(X0,n7)
| ~ less_or_equal(X0,n6) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( less(X0,n7)
| ~ less_or_equal(X0,n6) )
& ( less_or_equal(X0,n6)
| ~ less(X0,n7) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( less(X0,n7)
<=> less_or_equal(X0,n6) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X8] :
( less(X8,n7)
<=> less_or_equal(X8,n6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f478,plain,
spl16_32,
inference(avatar_split_clause,[],[f202,f476]) ).
fof(f202,plain,
! [X0] :
( less_or_equal(X0,n6)
| ~ less(X0,n7) ),
inference(cnf_transformation,[],[f120]) ).
fof(f474,plain,
spl16_31,
inference(avatar_split_clause,[],[f201,f472]) ).
fof(f201,plain,
! [X0] :
( less(X0,n8)
| ~ less_or_equal(X0,n7) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( less(X0,n8)
| ~ less_or_equal(X0,n7) )
& ( less_or_equal(X0,n7)
| ~ less(X0,n8) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( less(X0,n8)
<=> less_or_equal(X0,n7) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X8] :
( less(X8,n8)
<=> less_or_equal(X8,n7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f470,plain,
spl16_30,
inference(avatar_split_clause,[],[f200,f468]) ).
fof(f200,plain,
! [X0] :
( less_or_equal(X0,n7)
| ~ less(X0,n8) ),
inference(cnf_transformation,[],[f119]) ).
fof(f466,plain,
spl16_29,
inference(avatar_split_clause,[],[f199,f464]) ).
fof(f199,plain,
! [X0] :
( less(X0,n9)
| ~ less_or_equal(X0,n8) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( less(X0,n9)
| ~ less_or_equal(X0,n8) )
& ( less_or_equal(X0,n8)
| ~ less(X0,n9) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( less(X0,n9)
<=> less_or_equal(X0,n8) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X8] :
( less(X8,n9)
<=> less_or_equal(X8,n8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f462,plain,
spl16_28,
inference(avatar_split_clause,[],[f198,f460]) ).
fof(f198,plain,
! [X0] :
( less_or_equal(X0,n8)
| ~ less(X0,n9) ),
inference(cnf_transformation,[],[f118]) ).
fof(f458,plain,
spl16_27,
inference(avatar_split_clause,[],[f196,f455]) ).
fof(f196,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f453,plain,
spl16_26,
inference(avatar_split_clause,[],[f195,f450]) ).
fof(f195,plain,
plus(n2,n3) = n5,
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
plus(n2,n3) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f448,plain,
spl16_25,
inference(avatar_split_clause,[],[f194,f445]) ).
fof(f194,plain,
plus(n3,n3) = n6,
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
plus(n3,n3) = n6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f443,plain,
spl16_24,
inference(avatar_split_clause,[],[f193,f440]) ).
fof(f193,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f438,plain,
spl16_23,
inference(avatar_split_clause,[],[f192,f435]) ).
fof(f435,plain,
( spl16_23
<=> n0 = plus(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).
fof(f192,plain,
n0 = plus(n0,n0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
n0 = plus(n0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f433,plain,
spl16_22,
inference(avatar_split_clause,[],[f191,f430]) ).
fof(f191,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
n2 = plus(n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f428,plain,
spl16_21,
inference(avatar_split_clause,[],[f190,f425]) ).
fof(f190,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
n2 = plus(n0,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f423,plain,
spl16_20,
inference(avatar_split_clause,[],[f189,f420]) ).
fof(f189,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
n3 = plus(n1,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f418,plain,
spl16_19,
inference(avatar_split_clause,[],[f188,f415]) ).
fof(f188,plain,
n3 = plus(n0,n3),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
n3 = plus(n0,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f413,plain,
spl16_18,
inference(avatar_split_clause,[],[f187,f410]) ).
fof(f410,plain,
( spl16_18
<=> n4 = plus(n2,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f187,plain,
n4 = plus(n2,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n4 = plus(n2,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f408,plain,
spl16_17,
inference(avatar_split_clause,[],[f247,f406]) ).
fof(f406,plain,
( spl16_17
<=> ! [X2,X0,X1] : ~ releases(X0,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f247,plain,
! [X2,X0,X1] : ~ releases(X0,X1,X2),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] : ~ releases(X0,X1,X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X1,X4] : ~ releases(X3,X1,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f404,plain,
spl16_16,
inference(avatar_split_clause,[],[f309,f401]) ).
fof(f309,plain,
sP0(n0,push),
inference(equality_resolution,[],[f308]) ).
fof(f308,plain,
! [X1] :
( sP0(n0,X1)
| push != X1 ),
inference(equality_resolution,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( sP0(X0,X1)
| n0 != X0
| push != X1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f399,plain,
spl16_15,
inference(avatar_split_clause,[],[f307,f396]) ).
fof(f307,plain,
sP1(n1,pull),
inference(equality_resolution,[],[f306]) ).
fof(f306,plain,
! [X1] :
( sP1(n1,X1)
| pull != X1 ),
inference(equality_resolution,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( sP1(X0,X1)
| n1 != X0
| pull != X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f394,plain,
spl16_14,
inference(avatar_split_clause,[],[f305,f391]) ).
fof(f305,plain,
sP2(n2,pull),
inference(equality_resolution,[],[f304]) ).
fof(f304,plain,
! [X1] :
( sP2(n2,X1)
| pull != X1 ),
inference(equality_resolution,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( sP2(X0,X1)
| n2 != X0
| pull != X1 ),
inference(cnf_transformation,[],[f141]) ).
fof(f389,plain,
spl16_13,
inference(avatar_split_clause,[],[f303,f386]) ).
fof(f303,plain,
sP2(n2,push),
inference(equality_resolution,[],[f302]) ).
fof(f302,plain,
! [X1] :
( sP2(n2,X1)
| push != X1 ),
inference(equality_resolution,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( sP2(X0,X1)
| n2 != X0
| push != X1 ),
inference(cnf_transformation,[],[f141]) ).
fof(f384,plain,
spl16_12,
inference(avatar_split_clause,[],[f301,f382]) ).
fof(f382,plain,
( spl16_12
<=> ! [X1] : ~ less(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f301,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f380,plain,
spl16_11,
inference(avatar_split_clause,[],[f300,f378]) ).
fof(f300,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f376,plain,
spl16_10,
inference(avatar_split_clause,[],[f197,f374]) ).
fof(f197,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
~ ? [X0] : less(X0,n0),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
~ ? [X8] : less(X8,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f372,plain,
~ spl16_9,
inference(avatar_split_clause,[],[f186,f369]) ).
fof(f369,plain,
( spl16_9
<=> push = pull ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f186,plain,
push != pull,
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
push != pull,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f367,plain,
~ spl16_8,
inference(avatar_split_clause,[],[f185,f364]) ).
fof(f364,plain,
( spl16_8
<=> backwards = spinning ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f185,plain,
backwards != spinning,
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
backwards != spinning,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f362,plain,
~ spl16_7,
inference(avatar_split_clause,[],[f184,f359]) ).
fof(f359,plain,
( spl16_7
<=> forwards = backwards ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f184,plain,
forwards != backwards,
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
forwards != backwards,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f357,plain,
~ spl16_6,
inference(avatar_split_clause,[],[f183,f354]) ).
fof(f354,plain,
( spl16_6
<=> forwards = spinning ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f183,plain,
forwards != spinning,
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
forwards != spinning,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f352,plain,
spl16_5,
inference(avatar_split_clause,[],[f182,f350]) ).
fof(f182,plain,
! [X0,X1] : ~ releasedAt(X0,X1),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] : ~ releasedAt(X0,X1),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X1,X4] : ~ releasedAt(X1,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f348,plain,
~ spl16_4,
inference(avatar_split_clause,[],[f181,f345]) ).
fof(f181,plain,
~ holdsAt(backwards,n0),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
~ holdsAt(backwards,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f343,plain,
~ spl16_3,
inference(avatar_split_clause,[],[f180,f340]) ).
fof(f180,plain,
~ holdsAt(forwards,n0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
~ holdsAt(forwards,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f338,plain,
~ spl16_2,
inference(avatar_split_clause,[],[f179,f335]) ).
fof(f179,plain,
~ holdsAt(spinning,n0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
~ holdsAt(spinning,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f333,plain,
spl16_1,
inference(avatar_split_clause,[],[f178,f330]) ).
fof(f178,plain,
holdsAt(backwards,n1),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
holdsAt(backwards,n1),
inference(flattening,[],[f49]) ).
fof(f49,negated_conjecture,
~ ~ holdsAt(backwards,n1),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
~ holdsAt(backwards,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.17 % Problem : CSR015+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% 0.10/0.17 % Command : run_vampire %s %d SAT
% 0.11/0.39 % Computer : n021.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8042.1875MB
% 0.11/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Wed Jun 19 18:49:39 EDT 2024
% 0.11/0.39 % CPUTime :
% 0.11/0.41 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % (11282)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (11286)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.19/0.46 % (11282)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (11288)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.19/0.46 % (11282)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (11287)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.19/0.46 % (11282)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (11289)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.19/0.46 % (11282)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (11285)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.19/0.46 % (11282)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (11284)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.19/0.47 Detected minimum model sizes of [3]
% 0.19/0.47 Detected maximum model sizes of [max]
% 0.19/0.47 Detected minimum model sizes of [3]
% 0.19/0.47 Detected maximum model sizes of [max]
% 0.19/0.47 TRYING [3]
% 0.19/0.48 TRYING [4]
% 0.19/0.48 % (11282)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.48 % (11283)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.19/0.48 Detected minimum model sizes of [3]
% 0.19/0.48 Detected maximum model sizes of [max]
% 0.19/0.49 TRYING [5]
% 0.19/0.50 TRYING [10]
% 0.19/0.50 % (11284)First to succeed.
% 0.19/0.50 % (11287)Also succeeded, but the first one will report.
% 0.19/0.50 TRYING [6]
% 0.19/0.51 % (11284)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11282"
% 0.19/0.51 % (11282)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.51 % (11284)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (11284)------------------------------
% 0.19/0.51 % (11284)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.51 % (11284)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.51 % (11284)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (11284)Memory used [KB]: 2116
% 0.19/0.51 % (11284)Time elapsed: 0.044 s
% 0.19/0.51 % (11284)Instructions burned: 120 (million)
% 0.19/0.51 % (11284)------------------------------
% 0.19/0.51 % (11284)------------------------------
% 0.19/0.51 % (11282)Success in time 0.098 s
%------------------------------------------------------------------------------